diff --git "a/eval_data/heldout_eval.jsonl" "b/eval_data/heldout_eval.jsonl"
new file mode 100644--- /dev/null
+++ "b/eval_data/heldout_eval.jsonl"
@@ -0,0 +1,800 @@
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"278519436\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"872915634\"\nresult = \"452317698\"", "target": "452317698", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '278519436')", "intermediate": "872915634", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"439782516\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"934287615\"\nresult = \"574183629\"", "target": "574183629", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '439782516')", "intermediate": "934287615", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"963785142\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"369587241\"\nresult = \"179486253\"", "target": "179486253", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '963785142')", "intermediate": "369587241", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"236897514\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"632798415\"\nresult = \"582193476\"", "target": "582193476", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '236897514')", "intermediate": "632798415", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"657124839\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"756421938\"\nresult = \"816325947\"", "target": "816325947", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '657124839')", "intermediate": "756421938", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"874265139\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"478562931\"\nresult = \"128367954\"", "target": "128367954", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '874265139')", "intermediate": "478562931", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"634871529\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"436178925\"\nresult = \"586273914\"", "target": "586273914", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '634871529')", "intermediate": "436178925", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"291734586\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"192437685\"\nresult = \"572839641\"", "target": "572839641", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '291734586')", "intermediate": "192437685", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"168973524\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"861379425\"\nresult = \"591276438\"", "target": "591276438", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '168973524')", "intermediate": "861379425", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"376849125\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"673948521\"\nresult = \"183247596\"", "target": "183247596", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '376849125')", "intermediate": "673948521", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"542396178\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"245693871\"\nresult = \"135794862\"", "target": "135794862", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '542396178')", "intermediate": "245693871", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"265437198\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"562734891\"\nresult = \"142936875\"", "target": "142936875", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '265437198')", "intermediate": "562734891", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"927348651\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"729843156\"\nresult = \"639542187\"", "target": "639542187", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '927348651')", "intermediate": "729843156", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"975823416\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"579328614\"\nresult = \"489127635\"", "target": "489127635", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '975823416')", "intermediate": "579328614", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"138976254\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"831679452\"\nresult = \"291573468\"", "target": "291573468", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '138976254')", "intermediate": "831679452", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"691857432\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"196758234\"\nresult = \"486359271\"", "target": "486359271", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '691857432')", "intermediate": "196758234", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"281734659\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"182437956\"\nresult = \"672538941\"", "target": "672538941", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '281734659')", "intermediate": "182437956", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"845167932\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"548761239\"\nresult = \"918364275\"", "target": "918364275", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '845167932')", "intermediate": "548761239", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"768342195\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"867243591\"\nresult = \"137946528\"", "target": "137946528", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '768342195')", "intermediate": "867243591", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"892756413\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"298657314\"\nresult = \"478159362\"", "target": "478159362", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '892756413')", "intermediate": "298657314", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"835196427\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"538691724\"\nresult = \"418293765\"", "target": "418293765", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '835196427')", "intermediate": "538691724", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"759631284\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"957136482\"\nresult = \"267835419\"", "target": "267835419", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '759631284')", "intermediate": "957136482", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"784615923\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"487516329\"\nresult = \"967218354\"", "target": "967218354", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '784615923')", "intermediate": "487516329", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"261478953\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"162874359\"\nresult = \"942576381\"", "target": "942576381", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '261478953')", "intermediate": "162874359", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"256137498\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"652731894\"\nresult = \"412935876\"", "target": "412935876", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '256137498')", "intermediate": "652731894", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"387129456\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"783921654\"\nresult = \"413528697\"", "target": "413528697", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '387129456')", "intermediate": "783921654", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"426895713\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"624598317\"\nresult = \"784192356\"", "target": "784192356", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '426895713')", "intermediate": "624598317", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"514873269\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"415378962\"\nresult = \"285671934\"", "target": "285671934", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '514873269')", "intermediate": "415378962", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"163528794\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"361825497\"\nresult = \"751926483\"", "target": "751926483", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '163528794')", "intermediate": "361825497", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"527943816\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"725349618\"\nresult = \"895142637\"", "target": "895142637", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '527943816')", "intermediate": "725349618", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"754921368\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"457129863\"\nresult = \"397625814\"", "target": "397625814", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '754921368')", "intermediate": "457129863", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"837159264\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"738951462\"\nresult = \"218653497\"", "target": "218653497", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '837159264')", "intermediate": "738951462", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"351786492\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"153687294\"\nresult = \"473985261\"", "target": "473985261", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '351786492')", "intermediate": "153687294", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"318549726\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"813945627\"\nresult = \"753241698\"", "target": "753241698", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '318549726')", "intermediate": "813945627", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"568471293\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"865174392\"\nresult = \"245976318\"", "target": "245976318", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '568471293')", "intermediate": "865174392", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"431795268\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"134597862\"\nresult = \"274693851\"", "target": "274693851", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '431795268')", "intermediate": "134597862", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"875169432\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"578961234\"\nresult = \"418367295\"", "target": "418367295", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '875169432')", "intermediate": "578961234", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"128639745\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"821936547\"\nresult = \"761432598\"", "target": "761432598", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '128639745')", "intermediate": "821936547", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"287549613\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"782945316\"\nresult = \"652148397\"", "target": "652148397", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '287549613')", "intermediate": "782945316", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"286417539\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"682714935\"\nresult = \"542318976\"", "target": "542318976", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '286417539')", "intermediate": "682714935", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"768154293\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"867451392\"\nresult = \"217956348\"", "target": "217956348", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '768154293')", "intermediate": "867451392", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"234951786\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"432159687\"\nresult = \"792853614\"", "target": "792853614", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '234951786')", "intermediate": "432159687", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"263498715\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"362894517\"\nresult = \"742196583\"", "target": "742196583", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '263498715')", "intermediate": "362894517", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"147965382\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"741569283\"\nresult = \"391864257\"", "target": "391864257", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '147965382')", "intermediate": "741569283", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"614372598\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"416273895\"\nresult = \"536971824\"", "target": "536971824", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '614372598')", "intermediate": "416273895", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"962571438\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"269175834\"\nresult = \"459376812\"", "target": "459376812", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '962571438')", "intermediate": "269175834", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"569832174\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"965238471\"\nresult = \"185736429\"", "target": "185736429", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '569832174')", "intermediate": "965238471", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"698174253\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"896471352\"\nresult = \"216579348\"", "target": "216579348", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '698174253')", "intermediate": "896471352", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"197586243\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"791685342\"\nresult = \"251489367\"", "target": "251489367", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '197586243')", "intermediate": "791685342", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"952871364\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"259178463\"\nresult = \"389675412\"", "target": "389675412", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '952871364')", "intermediate": "259178463", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"297653418\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"792356814\"\nresult = \"462159837\"", "target": "462159837", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '297653418')", "intermediate": "792356814", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"986537142\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"689735241\"\nresult = \"159438276\"", "target": "159438276", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '986537142')", "intermediate": "689735241", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"921684735\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"129486537\"\nresult = \"769382541\"", "target": "769382541", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '921684735')", "intermediate": "129486537", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"759481326\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"957184623\"\nresult = \"347285619\"", "target": "347285619", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '759481326')", "intermediate": "957184623", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"645893721\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"546398127\"\nresult = \"786294135\"", "target": "786294135", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '645893721')", "intermediate": "546398127", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"679453182\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"976354281\"\nresult = \"146857239\"", "target": "146857239", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '679453182')", "intermediate": "976354281", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"658732941\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"856237149\"\nresult = \"976435128\"", "target": "976435128", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '658732941')", "intermediate": "856237149", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"617432895\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"716234598\"\nresult = \"846931527\"", "target": "846931527", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '617432895')", "intermediate": "716234598", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"294831765\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"492138567\"\nresult = \"782639514\"", "target": "782639514", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '294831765')", "intermediate": "492138567", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"371628549\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"173826945\"\nresult = \"563427981\"", "target": "563427981", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '371628549')", "intermediate": "173826945", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"614923578\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"416329875\"\nresult = \"596721834\"", "target": "596721834", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '614923578')", "intermediate": "416329875", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"854621973\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"458126379\"\nresult = \"968725314\"", "target": "968725314", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '854621973')", "intermediate": "458126379", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"265849137\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"562948731\"\nresult = \"182346795\"", "target": "182346795", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '265849137')", "intermediate": "562948731", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"789362415\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"987263514\"\nresult = \"437168529\"", "target": "437168529", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '789362415')", "intermediate": "987263514", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"841279365\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"148972563\"\nresult = \"328674591\"", "target": "328674591", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '841279365')", "intermediate": "148972563", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"578931264\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"875139462\"\nresult = \"295637418\"", "target": "295637418", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '578931264')", "intermediate": "875139462", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"387619245\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"783916542\"\nresult = \"263418597\"", "target": "263418597", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '387619245')", "intermediate": "783916542", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"892641573\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"298146375\"\nresult = \"568749312\"", "target": "568749312", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '892641573')", "intermediate": "298146375", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"136987524\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"631789425\"\nresult = \"591283476\"", "target": "591283476", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '136987524')", "intermediate": "631789425", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"479128653\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"974821356\"\nresult = \"614527389\"", "target": "614527389", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '479128653')", "intermediate": "974821356", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"248167539\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"842761935\"\nresult = \"512364978\"", "target": "512364978", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '248167539')", "intermediate": "842761935", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"456739812\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"654937218\"\nresult = \"874135296\"", "target": "874135296", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '456739812')", "intermediate": "654937218", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"734258619\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"437852916\"\nresult = \"627153984\"", "target": "627153984", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '734258619')", "intermediate": "437852916", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"243659781\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"342956187\"\nresult = \"762854193\"", "target": "762854193", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '243659781')", "intermediate": "342956187", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"469231758\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"964132857\"\nresult = \"724536819\"", "target": "724536819", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '469231758')", "intermediate": "964132857", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"523617984\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"325716489\"\nresult = \"965812473\"", "target": "965812473", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '523617984')", "intermediate": "325716489", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"786325941\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"687523149\"\nresult = \"937428156\"", "target": "937428156", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '786325941')", "intermediate": "687523149", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"265978413\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"562879314\"\nresult = \"492176385\"", "target": "492176385", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '265978413')", "intermediate": "562879314", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"192756384\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"291657483\"\nresult = \"371859462\"", "target": "371859462", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '192756384')", "intermediate": "291657483", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"746139528\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"647931825\"\nresult = \"517234896\"", "target": "517234896", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '746139528')", "intermediate": "647931825", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"672349185\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"276943581\"\nresult = \"136847592\"", "target": "136847592", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '672349185')", "intermediate": "276943581", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"967381524\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"769183425\"\nresult = \"539286417\"", "target": "539286417", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '967381524')", "intermediate": "769183425", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"784236159\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"487632951\"\nresult = \"127538964\"", "target": "127538964", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '784236159')", "intermediate": "487632951", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"639548217\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"936845712\"\nresult = \"256143789\"", "target": "256143789", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '639548217')", "intermediate": "936845712", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"562184973\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"265481379\"\nresult = \"915786342\"", "target": "915786342", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '562184973')", "intermediate": "265481379", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"853214796\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"358412697\"\nresult = \"728915643\"", "target": "728915643", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '853214796')", "intermediate": "358412697", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"267841395\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"762148593\"\nresult = \"382946517\"", "target": "382946517", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '267841395')", "intermediate": "762148593", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"245913876\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"542319678\"\nresult = \"892714635\"", "target": "892714635", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '245913876')", "intermediate": "542319678", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"971648235\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"179846532\"\nresult = \"269347581\"", "target": "269347581", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '971648235')", "intermediate": "179846532", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"583246917\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"385642719\"\nresult = \"925148763\"", "target": "925148763", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '583246917')", "intermediate": "385642719", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"896325471\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"698523174\"\nresult = \"438729156\"", "target": "438729156", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '896325471')", "intermediate": "698523174", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"157864239\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"751468932\"\nresult = \"281365947\"", "target": "281365947", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '157864239')", "intermediate": "751468932", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"178326495\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"871623594\"\nresult = \"431927568\"", "target": "431927568", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '178326495')", "intermediate": "871623594", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"548719632\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"845917236\"\nresult = \"675314298\"", "target": "675314298", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '548719632')", "intermediate": "845917236", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"261573849\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"162375948\"\nresult = \"852476931\"", "target": "852476931", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '261573849')", "intermediate": "162375948", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"697153824\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"796351428\"\nresult = \"816259437\"", "target": "816259437", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '697153824')", "intermediate": "796351428", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"493128756\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"394821657\"\nresult = \"714529683\"", "target": "714529683", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '493128756')", "intermediate": "394821657", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"138425697\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"831524796\"\nresult = \"641923758\"", "target": "641923758", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '138425697')", "intermediate": "831524796", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"496275381\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"694572183\"\nresult = \"324879156\"", "target": "324879156", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '496275381')", "intermediate": "694572183", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"137864952\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"731468259\"\nresult = \"981563247\"", "target": "981563247", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '137864952')", "intermediate": "731468259", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"287564931\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"782465139\"\nresult = \"952368147\"", "target": "952368147", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '287564931')", "intermediate": "782465139", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"935612487\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"539216784\"\nresult = \"469813725\"", "target": "469813725", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '935612487')", "intermediate": "539216784", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"853146729\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"358641927\"\nresult = \"718245963\"", "target": "718245963", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '853146729')", "intermediate": "358641927", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"476895231\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"674598132\"\nresult = \"284397156\"", "target": "284397156", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '476895231')", "intermediate": "674598132", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"342581679\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"243185976\"\nresult = \"653784912\"", "target": "653784912", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '342581679')", "intermediate": "243185976", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"493618257\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"394816752\"\nresult = \"264519783\"", "target": "264519783", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '493618257')", "intermediate": "394816752", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"917426358\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"719624853\"\nresult = \"349521867\"", "target": "349521867", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '917426358')", "intermediate": "719624853", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"256738149\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"652837941\"\nresult = \"172435986\"", "target": "172435986", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '256738149')", "intermediate": "652837941", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"695423178\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"596324871\"\nresult = \"146729835\"", "target": "146729835", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '695423178')", "intermediate": "596324871", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"925743618\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"529347816\"\nresult = \"679142835\"", "target": "679142835", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '925743618')", "intermediate": "529347816", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"629853714\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"926358417\"\nresult = \"786152439\"", "target": "786152439", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '629853714')", "intermediate": "926358417", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"381962754\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"183269457\"\nresult = \"793568421\"", "target": "793568421", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '381962754')", "intermediate": "183269457", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"361874925\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"163478529\"\nresult = \"983276541\"", "target": "983276541", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '361874925')", "intermediate": "163478529", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"639842517\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"936248715\"\nresult = \"586143729\"", "target": "586143729", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '639842517')", "intermediate": "936248715", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"594286173\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"495682371\"\nresult = \"125789364\"", "target": "125789364", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '594286173')", "intermediate": "495682371", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"547938126\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"745839621\"\nresult = \"195234687\"", "target": "195234687", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '547938126')", "intermediate": "745839621", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"982347651\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"289743156\"\nresult = \"639548172\"", "target": "639548172", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '982347651')", "intermediate": "289743156", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"458697123\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"854796321\"\nresult = \"164295378\"", "target": "164295378", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '458697123')", "intermediate": "854796321", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"951763842\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"159367248\"\nresult = \"879465231\"", "target": "879465231", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '951763842')", "intermediate": "159367248", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"176295348\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"671592843\"\nresult = \"321497856\"", "target": "321497856", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '176295348')", "intermediate": "671592843", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"359724618\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"953427816\"\nresult = \"673125849\"", "target": "673125849", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '359724618')", "intermediate": "953427816", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"465237981\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"564732189\"\nresult = \"924836175\"", "target": "924836175", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '465237981')", "intermediate": "564732189", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"482157396\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"284751693\"\nresult = \"314958672\"", "target": "314958672", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '482157396')", "intermediate": "284751693", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"234786195\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"432687591\"\nresult = \"172983564\"", "target": "172983564", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '234786195')", "intermediate": "432687591", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"159374682\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"951473286\"\nresult = \"631875249\"", "target": "631875249", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '159374682')", "intermediate": "951473286", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"465791283\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"564197382\"\nresult = \"274896315\"", "target": "274896315", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '465791283')", "intermediate": "564197382", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"278153496\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"872351694\"\nresult = \"412957638\"", "target": "412957638", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '278153496')", "intermediate": "872351694", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"689514237\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"986415732\"\nresult = \"256318749\"", "target": "256318749", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '689514237')", "intermediate": "986415732", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"254698173\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"452896371\"\nresult = \"162795384\"", "target": "162795384", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '254698173')", "intermediate": "452896371", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"391524687\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"193425786\"\nresult = \"653829741\"", "target": "653829741", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '391524687')", "intermediate": "193425786", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"792315648\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"297513846\"\nresult = \"637419852\"", "target": "637419852", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '792315648')", "intermediate": "297513846", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"914278365\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"419872563\"\nresult = \"329671584\"", "target": "329671584", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '914278365')", "intermediate": "419872563", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"518697243\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"815796342\"\nresult = \"265491378\"", "target": "265491378", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '518697243')", "intermediate": "815796342", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"413968257\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"314869752\"\nresult = \"294561783\"", "target": "294561783", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '413968257')", "intermediate": "314869752", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"635247918\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"536742819\"\nresult = \"926143875\"", "target": "926143875", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '635247918')", "intermediate": "536742819", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"483769251\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"384967152\"\nresult = \"274568193\"", "target": "274568193", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '483769251')", "intermediate": "384967152", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"817349562\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"718943265\"\nresult = \"538641297\"", "target": "538641297", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '817349562')", "intermediate": "718943265", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"748531962\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"847135269\"\nresult = \"957634218\"", "target": "957634218", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '748531962')", "intermediate": "847135269", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"936728154\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"639827451\"\nresult = \"179523486\"", "target": "179523486", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '936728154')", "intermediate": "639827451", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"947218536\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"749812635\"\nresult = \"529314687\"", "target": "529314687", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '947218536')", "intermediate": "749812635", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"253674189\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"352476981\"\nresult = \"162875943\"", "target": "162875943", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '253674189')", "intermediate": "352476981", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"157348629\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"751843926\"\nresult = \"631245987\"", "target": "631245987", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '157348629')", "intermediate": "751843926", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"842693175\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"248396571\"\nresult = \"168794532\"", "target": "168794532", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '842693175')", "intermediate": "248396571", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"739542861\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"937245168\"\nresult = \"857643129\"", "target": "857643129", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '739542861')", "intermediate": "937245168", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"528961437\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"825169734\"\nresult = \"495362718\"", "target": "495362718", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '528961437')", "intermediate": "825169734", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"549761238\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"945167832\"\nresult = \"275364819\"", "target": "275364819", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '549761238')", "intermediate": "945167832", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"134795862\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"431597268\"\nresult = \"871693254\"", "target": "871693254", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '134795862')", "intermediate": "431597268", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"826547193\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"628745391\"\nresult = \"158942376\"", "target": "158942376", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '826547193')", "intermediate": "628745391", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"265789413\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"562987314\"\nresult = \"472186395\"", "target": "472186395", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '265789413')", "intermediate": "562987314", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"813692574\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"318296475\"\nresult = \"568791423\"", "target": "568791423", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '813692574')", "intermediate": "318296475", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"689342571\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"986243175\"\nresult = \"536748129\"", "target": "536748129", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '689342571')", "intermediate": "986243175", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"826375194\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"628573491\"\nresult = \"138972456\"", "target": "138972456", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '826375194')", "intermediate": "628573491", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"197234658\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"791432856\"\nresult = \"621539847\"", "target": "621539847", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '197234658')", "intermediate": "791432856", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"379124586\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"973421685\"\nresult = \"513827649\"", "target": "513827649", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '379124586')", "intermediate": "973421685", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"136275948\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"631572849\"\nresult = \"921473856\"", "target": "921473856", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '136275948')", "intermediate": "631572849", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"571643892\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"175346298\"\nresult = \"865947231\"", "target": "865947231", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '571643892')", "intermediate": "175346298", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"453726819\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"354627918\"\nresult = \"874125963\"", "target": "874125963", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '453726819')", "intermediate": "354627918", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"637845129\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"736548921\"\nresult = \"186243957\"", "target": "186243957", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '637845129')", "intermediate": "736548921", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"615738942\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"516837249\"\nresult = \"976431285\"", "target": "976431285", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '615738942')", "intermediate": "516837249", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"174893562\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"471398265\"\nresult = \"581697234\"", "target": "581697234", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '174893562')", "intermediate": "471398265", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"167245938\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"761542839\"\nresult = \"921346857\"", "target": "921346857", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '167245938')", "intermediate": "761542839", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"685217349\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"586712943\"\nresult = \"326418975\"", "target": "326418975", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '685217349')", "intermediate": "586712943", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"718249653\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"817942356\"\nresult = \"627541398\"", "target": "627541398", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '718249653')", "intermediate": "817942356", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"572843619\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"275348916\"\nresult = \"685147932\"", "target": "685147932", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '572843619')", "intermediate": "275348916", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"197283456\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"791382654\"\nresult = \"421589637\"", "target": "421589637", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '197283456')", "intermediate": "791382654", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"436157982\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"634751289\"\nresult = \"914853276\"", "target": "914853276", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '436157982')", "intermediate": "634751289", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"349271865\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"943172568\"\nresult = \"823674519\"", "target": "823674519", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '349271865')", "intermediate": "943172568", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"684213597\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"486312795\"\nresult = \"526918734\"", "target": "526918734", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '684213597')", "intermediate": "486312795", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"462357891\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"264753198\"\nresult = \"834956172\"", "target": "834956172", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '462357891')", "intermediate": "264753198", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"817342569\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"718243965\"\nresult = \"538641927\"", "target": "538641927", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '817342569')", "intermediate": "718243965", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"831729564\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"138927465\"\nresult = \"578623491\"", "target": "578623491", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '831729564')", "intermediate": "138927465", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"645927183\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"546729381\"\nresult = \"196824375\"", "target": "196824375", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '645927183')", "intermediate": "546729381", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"827435691\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"728534196\"\nresult = \"648932157\"", "target": "648932157", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '827435691')", "intermediate": "728534196", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"892567134\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"298765431\"\nresult = \"158369472\"", "target": "158369472", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '892567134')", "intermediate": "298765431", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"895267134\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"598762431\"\nresult = \"128369475\"", "target": "128369475", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '895267134')", "intermediate": "598762431", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"961325874\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"169523478\"\nresult = \"839726451\"", "target": "839726451", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '961325874')", "intermediate": "169523478", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"732495681\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"237594186\"\nresult = \"647893152\"", "target": "647893152", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '732495681')", "intermediate": "237594186", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"645317982\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"546713289\"\nresult = \"936814275\"", "target": "936814275", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '645317982')", "intermediate": "546713289", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"459137862\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"954731268\"\nresult = \"814635279\"", "target": "814635279", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '459137862')", "intermediate": "954731268", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"847126359\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"748621953\"\nresult = \"318524967\"", "target": "318524967", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '847126359')", "intermediate": "748621953", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"149876253\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"941678352\"\nresult = \"281574369\"", "target": "281574369", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '149876253')", "intermediate": "941678352", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"168925374\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"861529473\"\nresult = \"391726458\"", "target": "391726458", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '168925374')", "intermediate": "861529473", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"653249718\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"356942817\"\nresult = \"726145893\"", "target": "726145893", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '653249718')", "intermediate": "356942817", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"936218574\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"639812475\"\nresult = \"529713486\"", "target": "529713486", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '936218574')", "intermediate": "639812475", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"647385921\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"746583129\"\nresult = \"936284157\"", "target": "936284157", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '647385921')", "intermediate": "746583129", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"743586291\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"347685192\"\nresult = \"257984163\"", "target": "257984163", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '743586291')", "intermediate": "347685192", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"738415962\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"837514269\"\nresult = \"947613258\"", "target": "947613258", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '738415962')", "intermediate": "837514269", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"823567194\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"328765491\"\nresult = \"158962473\"", "target": "158962473", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '823567194')", "intermediate": "328765491", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"645371928\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"546173829\"\nresult = \"936274815\"", "target": "936274815", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '645371928')", "intermediate": "546173829", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"429863157\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"924368751\"\nresult = \"184562739\"", "target": "184562739", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '429863157')", "intermediate": "924368751", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"942153786\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"249351687\"\nresult = \"719854632\"", "target": "719854632", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '942153786')", "intermediate": "249351687", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"659814327\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"956418723\"\nresult = \"386215749\"", "target": "386215749", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '659814327')", "intermediate": "956418723", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"867291435\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"768192534\"\nresult = \"428396517\"", "target": "428396517", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '867291435')", "intermediate": "768192534", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"835279461\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"538972164\"\nresult = \"428673195\"", "target": "428673195", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '835279461')", "intermediate": "538972164", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"417632859\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"714236958\"\nresult = \"864531927\"", "target": "864531927", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '417632859')", "intermediate": "714236958", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"259476138\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"952674831\"\nresult = \"142375869\"", "target": "142375869", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '259476138')", "intermediate": "952674831", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"352784196\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"253487691\"\nresult = \"173985642\"", "target": "173985642", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '352784196')", "intermediate": "253487691", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"915287346\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"519782643\"\nresult = \"329481675\"", "target": "329481675", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '915287346')", "intermediate": "519782643", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"492167538\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"294761835\"\nresult = \"514369872\"", "target": "514369872", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '492167538')", "intermediate": "294761835", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_h to the grid \"621854739\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"126458937\"\nresult = \"786352941\"", "target": "786352941", "fn_f": "anti_transpose", "fn_g": "flip_h", "fn_chain": "anti_transpose|flip_h", "input_str": "('grid', '621854739')", "intermediate": "126458937", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"638295471\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"158793426\"\nresult = \"851397624\"", "target": "851397624", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '638295471')", "intermediate": "158793426", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"267849135\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"597346182\"\nresult = \"795643281\"", "target": "795643281", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '267849135')", "intermediate": "597346182", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"879352416\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"629157438\"\nresult = \"926751834\"", "target": "926751834", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '879352416')", "intermediate": "629157438", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"761832495\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"521936487\"\nresult = \"125639784\"", "target": "125639784", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '761832495')", "intermediate": "521936487", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"236719584\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"496813572\"\nresult = \"694318275\"", "target": "694318275", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '236719584')", "intermediate": "496813572", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"179623854\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"439527861\"\nresult = \"934725168\"", "target": "934725168", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '179623854')", "intermediate": "439527861", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"294356187\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"764859132\"\nresult = \"467958231\"", "target": "467958231", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '294356187')", "intermediate": "764859132", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"358961274\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"418765293\"\nresult = \"814567392\"", "target": "814567392", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '358961274')", "intermediate": "418765293", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"716354829\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"946251837\"\nresult = \"649152738\"", "target": "649152738", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '716354829')", "intermediate": "946251837", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"175368492\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"285967431\"\nresult = \"582769134\"", "target": "582769134", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '175368492')", "intermediate": "285967431", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"791523648\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"831429657\"\nresult = \"138924756\"", "target": "138924756", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '791523648')", "intermediate": "831429657", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"134976258\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"864573291\"\nresult = \"468375192\"", "target": "468375192", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '134976258')", "intermediate": "864573291", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"438951276\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"618753294\"\nresult = \"816357492\"", "target": "816357492", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '438951276')", "intermediate": "618753294", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"175869324\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"495267381\"\nresult = \"594762183\"", "target": "594762183", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '175869324')", "intermediate": "495267381", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"231679854\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"491573862\"\nresult = \"194375268\"", "target": "194375268", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '231679854')", "intermediate": "491573862", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"165372498\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"825976431\"\nresult = \"528679134\"", "target": "528679134", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '165372498')", "intermediate": "825976431", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"297614538\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"847319562\"\nresult = \"748913265\"", "target": "748913265", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '297614538')", "intermediate": "847319562", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"645973128\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"835274196\"\nresult = \"538472691\"", "target": "538472691", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '645973128')", "intermediate": "835274196", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"192657438\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"872359461\"\nresult = \"278953164\"", "target": "278953164", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '192657438')", "intermediate": "872359461", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"419256378\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"869751324\"\nresult = \"968157423\"", "target": "968157423", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '419256378')", "intermediate": "869751324", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"738452916\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"628153947\"\nresult = \"826351749\"", "target": "826351749", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '738452916')", "intermediate": "628153947", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"694132875\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"524739816\"\nresult = \"425937618\"", "target": "425937618", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '694132875')", "intermediate": "524739816", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"197824635\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"547329681\"\nresult = \"745923186\"", "target": "745923186", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '197824635')", "intermediate": "547329681", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"389751264\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"419658273\"\nresult = \"914856372\"", "target": "914856372", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '389751264')", "intermediate": "419658273", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"319786452\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"269581473\"\nresult = \"962185374\"", "target": "962185374", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '319786452')", "intermediate": "269581473", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"934278165\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"584673129\"\nresult = \"485376921\"", "target": "485376921", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '934278165')", "intermediate": "584673129", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"632598147\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"782493156\"\nresult = \"287394651\"", "target": "287394651", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '632598147')", "intermediate": "782493156", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"195732486\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"625839471\"\nresult = \"526938174\"", "target": "526938174", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '195732486')", "intermediate": "625839471", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"126743589\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"936842571\"\nresult = \"639248175\"", "target": "639248175", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '126743589')", "intermediate": "936842571", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"321897456\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"671592483\"\nresult = \"176295384\"", "target": "176295384", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '321897456')", "intermediate": "671592483", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"628194537\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"748392516\"\nresult = \"847293615\"", "target": "847293615", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '628194537')", "intermediate": "748392516", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"527493861\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"137692845\"\nresult = \"731296548\"", "target": "731296548", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '527493861')", "intermediate": "137692845", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"649187235\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"579384216\"\nresult = \"975483612\"", "target": "975483612", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '649187235')", "intermediate": "579384216", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"613758924\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"483251976\"\nresult = \"384152679\"", "target": "384152679", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '613758924')", "intermediate": "483251976", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"681925347\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"751428396\"\nresult = \"157824693\"", "target": "157824693", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '681925347')", "intermediate": "751428396", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"859234761\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"149635728\"\nresult = \"941536827\"", "target": "941536827", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '859234761')", "intermediate": "149635728", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"427859136\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"697352184\"\nresult = \"796253481\"", "target": "796253481", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '427859136')", "intermediate": "697352184", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"793542168\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"823649157\"\nresult = \"328946751\"", "target": "328946751", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '793542168')", "intermediate": "823649157", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"512674938\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"842371965\"\nresult = \"248173569\"", "target": "248173569", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '512674938')", "intermediate": "842371965", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"453819672\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"293715684\"\nresult = \"392517486\"", "target": "392517486", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '453819672')", "intermediate": "293715684", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"328914567\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"748612593\"\nresult = \"847216395\"", "target": "847216395", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '328914567')", "intermediate": "748612593", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"967382514\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"427186539\"\nresult = \"724681935\"", "target": "724681935", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '967382514')", "intermediate": "427186539", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"628394571\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"148792536\"\nresult = \"841297635\"", "target": "841297635", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '628394571')", "intermediate": "148792536", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"256187493\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"376985412\"\nresult = \"673589214\"", "target": "673589214", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '256187493')", "intermediate": "376985412", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"892146537\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"762349518\"\nresult = \"267943815\"", "target": "267943815", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '892146537')", "intermediate": "762349518", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"817536924\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"467231958\"\nresult = \"764132859\"", "target": "764132859", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '817536924')", "intermediate": "467231958", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"941372586\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"621874539\"\nresult = \"126478935\"", "target": "126478935", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '941372586')", "intermediate": "621874539", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"623985147\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"753482196\"\nresult = \"357284691\"", "target": "357284691", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '623985147')", "intermediate": "753482196", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"789621354\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"419528367\"\nresult = \"914825763\"", "target": "914825763", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '789621354')", "intermediate": "419528367", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"785234691\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"145938627\"\nresult = \"541839726\"", "target": "541839726", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '785234691')", "intermediate": "145938627", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"537124896\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"647923815\"\nresult = \"746329518\"", "target": "746329518", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '537124896')", "intermediate": "647923815", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"613987245\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"573481296\"\nresult = \"375184692\"", "target": "375184692", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '613987245')", "intermediate": "573481296", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"945267813\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"375164829\"\nresult = \"573461928\"", "target": "573461928", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '945267813')", "intermediate": "375164829", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"538794612\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"248193675\"\nresult = \"842391576\"", "target": "842391576", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '538794612')", "intermediate": "248193675", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"289364571\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"149768532\"\nresult = \"941867235\"", "target": "941867235", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '289364571')", "intermediate": "149768532", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"529136487\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"769832415\"\nresult = \"967238514\"", "target": "967238514", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '529136487')", "intermediate": "769832415", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"896274135\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"546379128\"\nresult = \"645973821\"", "target": "645973821", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '896274135')", "intermediate": "546379128", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"437681259\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"917583264\"\nresult = \"719385462\"", "target": "719385462", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '437681259')", "intermediate": "917583264", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"793248651\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"183549627\"\nresult = \"381945726\"", "target": "381945726", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '793248651')", "intermediate": "183549627", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"734852691\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"124953687\"\nresult = \"421359786\"", "target": "421359786", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '734852691')", "intermediate": "124953687", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"498631275\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"518739264\"\nresult = \"815937462\"", "target": "815937462", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '498631275')", "intermediate": "518739264", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"345176298\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"865974213\"\nresult = \"568479312\"", "target": "568479312", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '345176298')", "intermediate": "865974213", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"761245938\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"851346927\"\nresult = \"158643729\"", "target": "158643729", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '761245938')", "intermediate": "851346927", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"159286437\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"769385421\"\nresult = \"967583124\"", "target": "967583124", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '159286437')", "intermediate": "769385421", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"841536279\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"961734258\"\nresult = \"169437852\"", "target": "169437852", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '841536279')", "intermediate": "961734258", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"742953618\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"832154697\"\nresult = \"238451796\"", "target": "238451796", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '742953618')", "intermediate": "832154697", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"526487931\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"176382945\"\nresult = \"671283549\"", "target": "671283549", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '526487931')", "intermediate": "176382945", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"678543192\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"238947156\"\nresult = \"832749651\"", "target": "832749651", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '678543192')", "intermediate": "238947156", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"419286573\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"369781524\"\nresult = \"963187425\"", "target": "963187425", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '419286573')", "intermediate": "369781524", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"189465273\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"359768241\"\nresult = \"953867142\"", "target": "953867142", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '189465273')", "intermediate": "359768241", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"391786524\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"461289573\"\nresult = \"164982375\"", "target": "164982375", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '391786524')", "intermediate": "461289573", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"635419728\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"895213746\"\nresult = \"598312647\"", "target": "598312647", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '635419728')", "intermediate": "895213746", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"145382976\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"625784931\"\nresult = \"526487139\"", "target": "526487139", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '145382976')", "intermediate": "625784931", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"628597413\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"378192456\"\nresult = \"873291654\"", "target": "873291654", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '628597413')", "intermediate": "378192456", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"298736415\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"568139472\"\nresult = \"865931274\"", "target": "865931274", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '298736415')", "intermediate": "568139472", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"356248197\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"786945123\"\nresult = \"687549321\"", "target": "687549321", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '356248197')", "intermediate": "786945123", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"784365129\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"954268137\"\nresult = \"459862731\"", "target": "459862731", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '784365129')", "intermediate": "954268137", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"385964172\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"245768193\"\nresult = \"542867391\"", "target": "542867391", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '385964172')", "intermediate": "245768193", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"312745698\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"852941673\"\nresult = \"258149376\"", "target": "258149376", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '312745698')", "intermediate": "852941673", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"197564238\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"847369251\"\nresult = \"748963152\"", "target": "748963152", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '197564238')", "intermediate": "847369251", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"624371589\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"914872536\"\nresult = \"419278635\"", "target": "419278635", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '624371589')", "intermediate": "914872536", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"419687235\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"579381264\"\nresult = \"975183462\"", "target": "975183462", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '419687235')", "intermediate": "579381264", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"657342819\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"927145836\"\nresult = \"729541638\"", "target": "729541638", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '657342819')", "intermediate": "927145836", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"765298431\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"185396427\"\nresult = \"581693724\"", "target": "581693724", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '765298431')", "intermediate": "185396427", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"526719483\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"396812475\"\nresult = \"693218574\"", "target": "693218574", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '526719483')", "intermediate": "396812475", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"496783215\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"536189274\"\nresult = \"635981472\"", "target": "635981472", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '496783215')", "intermediate": "536189274", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"194563782\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"234869751\"\nresult = \"432968157\"", "target": "432968157", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '194563782')", "intermediate": "234869751", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"823791456\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"613592478\"\nresult = \"316295874\"", "target": "316295874", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '823791456')", "intermediate": "613592478", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"956213478\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"836715429\"\nresult = \"638517924\"", "target": "638517924", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '956213478')", "intermediate": "836715429", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"857412369\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"927615348\"\nresult = \"729516843\"", "target": "729516843", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '857412369')", "intermediate": "927615348", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"521684793\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"341982765\"\nresult = \"143289567\"", "target": "143289567", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '521684793')", "intermediate": "341982765", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"723681594\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"413982567\"\nresult = \"314289765\"", "target": "314289765", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '723681594')", "intermediate": "413982567", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"934156728\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"864253719\"\nresult = \"468352917\"", "target": "468352917", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '934156728')", "intermediate": "864253719", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"179256483\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"369857421\"\nresult = \"963758124\"", "target": "963758124", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '179256483')", "intermediate": "369857421", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"815362974\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"425761938\"\nresult = \"524167839\"", "target": "524167839", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '815362974')", "intermediate": "425761938", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"938257614\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"478153629\"\nresult = \"874351926\"", "target": "874351926", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '938257614')", "intermediate": "478153629", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"846329517\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"796124538\"\nresult = \"697421835\"", "target": "697421835", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '846329517')", "intermediate": "796124538", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"719564283\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"349861257\"\nresult = \"943168752\"", "target": "943168752", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '719564283')", "intermediate": "349861257", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"349561827\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"719264853\"\nresult = \"917462358\"", "target": "917462358", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '349561827')", "intermediate": "719264853", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"421893765\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"531692784\"\nresult = \"135296487\"", "target": "135296487", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '421893765')", "intermediate": "531692784", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"859674123\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"349275168\"\nresult = \"943572861\"", "target": "943572861", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '859674123')", "intermediate": "349275168", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"681572493\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"321978456\"\nresult = \"123879654\"", "target": "123879654", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '681572493')", "intermediate": "321978456", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"415937862\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"275631894\"\nresult = \"572136498\"", "target": "572136498", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '415937862')", "intermediate": "275631894", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"523479618\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"893172645\"\nresult = \"398271546\"", "target": "398271546", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '523479618')", "intermediate": "893172645", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"412378659\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"982571634\"\nresult = \"289175436\"", "target": "289175436", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '412378659')", "intermediate": "982571634", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"924571368\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"814672359\"\nresult = \"418276953\"", "target": "418276953", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '924571368')", "intermediate": "814672359", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"158746329\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"968245371\"\nresult = \"869542173\"", "target": "869542173", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '158746329')", "intermediate": "968245371", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"946521837\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"716324859\"\nresult = \"617423958\"", "target": "617423958", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '946521837')", "intermediate": "716324859", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"415982376\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"625781394\"\nresult = \"526187493\"", "target": "526187493", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '415982376')", "intermediate": "625781394", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"348625791\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"158924763\"\nresult = \"851429367\"", "target": "851429367", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '348625791')", "intermediate": "158924763", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"241593786\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"631894752\"\nresult = \"136498257\"", "target": "136498257", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '241593786')", "intermediate": "631894752", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"374851926\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"614257983\"\nresult = \"416752389\"", "target": "416752389", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '374851926')", "intermediate": "614257983", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"672348195\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"582947136\"\nresult = \"285749631\"", "target": "285749631", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '672348195')", "intermediate": "582947136", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"521837496\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"671932485\"\nresult = \"176239584\"", "target": "176239584", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '521837496')", "intermediate": "671932485", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"136947285\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"576843291\"\nresult = \"675348192\"", "target": "675348192", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '136947285')", "intermediate": "576843291", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"459387162\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"279685134\"\nresult = \"972586431\"", "target": "972586431", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '459387162')", "intermediate": "279685134", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"264851793\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"314956782\"\nresult = \"413659287\"", "target": "413659287", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '264851793')", "intermediate": "314956782", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"378219546\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"698417523\"\nresult = \"896714325\"", "target": "896714325", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '378219546')", "intermediate": "698417523", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"753914286\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"643815297\"\nresult = \"346518792\"", "target": "346518792", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '753914286')", "intermediate": "643815297", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"364972851\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"124576893\"\nresult = \"421675398\"", "target": "421675398", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '364972851')", "intermediate": "124576893", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"376824195\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"546927183\"\nresult = \"645729381\"", "target": "645729381", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '376824195')", "intermediate": "546927183", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"239165478\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"859763412\"\nresult = \"958367214\"", "target": "958367214", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '239165478')", "intermediate": "859763412", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"318469275\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"598761243\"\nresult = \"895167342\"", "target": "895167342", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '318469275')", "intermediate": "598761243", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"287195346\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"657498312\"\nresult = \"756894213\"", "target": "756894213", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '287195346')", "intermediate": "657498312", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"485697213\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"375198264\"\nresult = \"573891462\"", "target": "573891462", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '485697213')", "intermediate": "375198264", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"295341678\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"815749632\"\nresult = \"518947236\"", "target": "518947236", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '295341678')", "intermediate": "815749632", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"961827534\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"471326589\"\nresult = \"174623985\"", "target": "174623985", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '961827534')", "intermediate": "471326589", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"956721483\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"316825479\"\nresult = \"613528974\"", "target": "613528974", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '956721483')", "intermediate": "316825479", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"521946783\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"361842795\"\nresult = \"163248597\"", "target": "163248597", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '521946783')", "intermediate": "361842795", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"924768315\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"584162379\"\nresult = \"485261973\"", "target": "485261973", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '924768315')", "intermediate": "584162379", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"439856721\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"169253784\"\nresult = \"961352487\"", "target": "961352487", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '439856721')", "intermediate": "169253784", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"952638174\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"482735169\"\nresult = \"284537961\"", "target": "284537961", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '952638174')", "intermediate": "482735169", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"289173456\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"639578412\"\nresult = \"936875214\"", "target": "936875214", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '289173456')", "intermediate": "639578412", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"762391548\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"812496537\"\nresult = \"218694735\"", "target": "218694735", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '762391548')", "intermediate": "812496537", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"792348561\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"182649537\"\nresult = \"281946735\"", "target": "281946735", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '792348561')", "intermediate": "182649537", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"587291463\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"317698425\"\nresult = \"713896524\"", "target": "713896524", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '587291463')", "intermediate": "317698425", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"247683915\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"537184962\"\nresult = \"735481269\"", "target": "735481269", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '247683915')", "intermediate": "537184962", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"476983251\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"136587294\"\nresult = \"631785492\"", "target": "631785492", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '476983251')", "intermediate": "136587294", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"123458679\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"983752641\"\nresult = \"389257146\"", "target": "389257146", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '123458679')", "intermediate": "983752641", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"458329716\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"698125734\"\nresult = \"896521437\"", "target": "896521437", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '458329716')", "intermediate": "698125734", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"238719456\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"698513472\"\nresult = \"896315274\"", "target": "896315274", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '238719456')", "intermediate": "698513472", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"145239867\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"795634821\"\nresult = \"597436128\"", "target": "597436128", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '145239867')", "intermediate": "795634821", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"639574821\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"149273856\"\nresult = \"941372658\"", "target": "941372658", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '639574821')", "intermediate": "149273856", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"543728196\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"683924175\"\nresult = \"386429571\"", "target": "386429571", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '543728196')", "intermediate": "683924175", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"538496271\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"168793245\"\nresult = \"861397542\"", "target": "861397542", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '538496271')", "intermediate": "168793245", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"437698512\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"287193564\"\nresult = \"782391465\"", "target": "782391465", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '437698512')", "intermediate": "287193564", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"748931562\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"218634597\"\nresult = \"812436795\"", "target": "812436795", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '748931562')", "intermediate": "218634597", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"514279683\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"394871625\"\nresult = \"493178526\"", "target": "493178526", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '514279683')", "intermediate": "394871625", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"951628437\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"781325469\"\nresult = \"187523964\"", "target": "187523964", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '951628437')", "intermediate": "781325469", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"358164279\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"948765213\"\nresult = \"849567312\"", "target": "849567312", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '358164279')", "intermediate": "948765213", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"489216573\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"369718524\"\nresult = \"963817425\"", "target": "963817425", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '489216573')", "intermediate": "369718524", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"392867145\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"572469183\"\nresult = \"275964381\"", "target": "275964381", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '392867145')", "intermediate": "572469183", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"567918432\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"287316495\"\nresult = \"782613594\"", "target": "782613594", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '567918432')", "intermediate": "287316495", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"263147985\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"573846912\"\nresult = \"375648219\"", "target": "375648219", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '263147985')", "intermediate": "573846912", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"689257143\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"379458126\"\nresult = \"973854621\"", "target": "973854621", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '689257143')", "intermediate": "379458126", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"249137856\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"679534812\"\nresult = \"976435218\"", "target": "976435218", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '249137856')", "intermediate": "679534812", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"128569374\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"498762351\"\nresult = \"894267153\"", "target": "894267153", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '128569374')", "intermediate": "498762351", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"194825376\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"654729381\"\nresult = \"456927183\"", "target": "456927183", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '194825376')", "intermediate": "654729381", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"238546791\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"168943752\"\nresult = \"861349257\"", "target": "861349257", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '238546791')", "intermediate": "168943752", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"637259148\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"897453126\"\nresult = \"798354621\"", "target": "798354621", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '637259148')", "intermediate": "897453126", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"614879532\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"294371586\"\nresult = \"492173685\"", "target": "492173685", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '614879532')", "intermediate": "294371586", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"653947281\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"173845296\"\nresult = \"371548692\"", "target": "371548692", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '653947281')", "intermediate": "173845296", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"473569128\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"893267154\"\nresult = \"398762451\"", "target": "398762451", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '473569128')", "intermediate": "893267154", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"943567182\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"273864159\"\nresult = \"372468951\"", "target": "372468951", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '943567182')", "intermediate": "273864159", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"653914782\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"243815796\"\nresult = \"342518697\"", "target": "342518697", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '653914782')", "intermediate": "243815796", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"197835624\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"457239681\"\nresult = \"754932186\"", "target": "754932186", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '197835624')", "intermediate": "457239681", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"391827546\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"671429583\"\nresult = \"176924385\"", "target": "176924385", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '391827546')", "intermediate": "671429583", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"729314658\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"849512637\"\nresult = \"948215736\"", "target": "948215736", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '729314658')", "intermediate": "849512637", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"732648159\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"982543167\"\nresult = \"289345761\"", "target": "289345761", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '732648159')", "intermediate": "982543167", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"684173952\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"234578916\"\nresult = \"432875619\"", "target": "432875619", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '684173952')", "intermediate": "234578916", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"647981235\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"517384296\"\nresult = \"715483692\"", "target": "715483692", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '647981235')", "intermediate": "517384296", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"184537629\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"974238651\"\nresult = \"479832156\"", "target": "479832156", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '184537629')", "intermediate": "974238651", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"598723614\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"438129675\"\nresult = \"834921576\"", "target": "834921576", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '598723614')", "intermediate": "438129675", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"597861234\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"417369285\"\nresult = \"714963582\"", "target": "714963582", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '597861234')", "intermediate": "417369285", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"893451762\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"213659748\"\nresult = \"312956847\"", "target": "312956847", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '893451762')", "intermediate": "213659748", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"593168472\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"283769415\"\nresult = \"382967514\"", "target": "382967514", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '593168472')", "intermediate": "283769415", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"293487516\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"673189542\"\nresult = \"376981245\"", "target": "376981245", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '293487516')", "intermediate": "673189542", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"361985427\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"751286493\"\nresult = \"157682394\"", "target": "157682394", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '361985427')", "intermediate": "751286493", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"419587632\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"279381654\"\nresult = \"972183456\"", "target": "972183456", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '419587632')", "intermediate": "279381654", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"651893472\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"231795486\"\nresult = \"132597684\"", "target": "132597684", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '651893472')", "intermediate": "231795486", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"861537492\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"271936458\"\nresult = \"172639854\"", "target": "172639854", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '861537492')", "intermediate": "271936458", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"259743681\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"139845672\"\nresult = \"931548276\"", "target": "931548276", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '259743681')", "intermediate": "139845672", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"624381957\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"714582936\"\nresult = \"417285639\"", "target": "417285639", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '624381957')", "intermediate": "714582936", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"728351469\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"918652437\"\nresult = \"819256734\"", "target": "819256734", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '728351469')", "intermediate": "918652437", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"698127543\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"378429516\"\nresult = \"873924615\"", "target": "873924615", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '698127543')", "intermediate": "378429516", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"592174368\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"842679315\"\nresult = \"248976513\"", "target": "248976513", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '592174368')", "intermediate": "842679315", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"498365712\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"258169734\"\nresult = \"852961437\"", "target": "852961437", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '498365712')", "intermediate": "258169734", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"978314265\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"548617239\"\nresult = \"845716932\"", "target": "845716932", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '978314265')", "intermediate": "548617239", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"542361978\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"812764935\"\nresult = \"218467539\"", "target": "218467539", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '542361978')", "intermediate": "812764935", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"514329876\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"694721835\"\nresult = \"496127538\"", "target": "496127538", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '514329876')", "intermediate": "694721835", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"237659841\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"197453862\"\nresult = \"791354268\"", "target": "791354268", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '237659841')", "intermediate": "197453862", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"352719486\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"692815473\"\nresult = \"296518374\"", "target": "296518374", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '352719486')", "intermediate": "692815473", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"368791452\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"218596473\"\nresult = \"812695374\"", "target": "812695374", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '368791452')", "intermediate": "218596473", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"847325619\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"957124638\"\nresult = \"759421836\"", "target": "759421836", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '847325619')", "intermediate": "957124638", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"734615289\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"954813267\"\nresult = \"459318762\"", "target": "459318762", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '734615289')", "intermediate": "954813267", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"625398714\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"485192736\"\nresult = \"584291637\"", "target": "584291637", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '625398714')", "intermediate": "485192736", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"934271568\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"814673529\"\nresult = \"418376925\"", "target": "418376925", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '934271568')", "intermediate": "814673529", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"321657498\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"871952463\"\nresult = \"178259364\"", "target": "178259364", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '321657498')", "intermediate": "871952463", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"649817235\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"579314286\"\nresult = \"975413682\"", "target": "975413682", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '649817235')", "intermediate": "579314286", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"826495731\", then apply flip_h to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"156392748\"\nresult = \"651293847\"", "target": "651293847", "fn_f": "flip_h", "fn_g": "anti_transpose", "fn_chain": "flip_h|anti_transpose", "input_str": "('grid', '826495731')", "intermediate": "156392748", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"413827695\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"695827413\"\nresult = \"375129486\"", "target": "375129486", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '413827695')", "intermediate": "695827413", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"698751234\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"234751698\"\nresult = \"814953672\"", "target": "814953672", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '698751234')", "intermediate": "234751698", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"348956271\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"271956348\"\nresult = \"861457392\"", "target": "861457392", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '348956271')", "intermediate": "271956348", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"138964752\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"752964138\"\nresult = \"842365197\"", "target": "842365197", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '138964752')", "intermediate": "752964138", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"123965784\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"784965123\"\nresult = \"354268197\"", "target": "354268197", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '123965784')", "intermediate": "784965123", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"924531867\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"867531924\"\nresult = \"417236958\"", "target": "417236958", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '924531867')", "intermediate": "867531924", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"815276439\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"439276815\"\nresult = \"569173824\"", "target": "569173824", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '815276439')", "intermediate": "439276815", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"125847963\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"963847125\"\nresult = \"573246189\"", "target": "573246189", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '125847963')", "intermediate": "963847125", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"618294537\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"537294618\"\nresult = \"847193625\"", "target": "847193625", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '618294537')", "intermediate": "537294618", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"387591264\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"264591387\"\nresult = \"714896352\"", "target": "714896352", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '387591264')", "intermediate": "264591387", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"863549217\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"217549863\"\nresult = \"397641852\"", "target": "397641852", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '863549217')", "intermediate": "217549863", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"145289673\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"673289145\"\nresult = \"593487126\"", "target": "593487126", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '145289673')", "intermediate": "673289145", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"781425639\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"639425781\"\nresult = \"159823746\"", "target": "159823746", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '781425639')", "intermediate": "639425781", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"429378561\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"561378429\"\nresult = \"981276435\"", "target": "981276435", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '429378561')", "intermediate": "561378429", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"289156734\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"734156289\"\nresult = \"964853217\"", "target": "964853217", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '289156734')", "intermediate": "734156289", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"439185672\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"672185439\"\nresult = \"952387416\"", "target": "952387416", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '439185672')", "intermediate": "672185439", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"567483912\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"912483567\"\nresult = \"732681549\"", "target": "732681549", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '567483912')", "intermediate": "912483567", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"469713582\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"582713469\"\nresult = \"932618475\"", "target": "932618475", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '469713582')", "intermediate": "582713469", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"291467583\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"583467291\"\nresult = \"173968245\"", "target": "173968245", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '291467583')", "intermediate": "583467291", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"837629415\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"415629837\"\nresult = \"795321864\"", "target": "795321864", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '837629415')", "intermediate": "415629837", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"761328954\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"954328761\"\nresult = \"184625739\"", "target": "184625739", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '761328954')", "intermediate": "954328761", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"592183647\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"647183592\"\nresult = \"237984516\"", "target": "237984516", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '592183647')", "intermediate": "647183592", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"493657128\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"128657493\"\nresult = \"378952461\"", "target": "378952461", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '493657128')", "intermediate": "128657493", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"621375984\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"984375621\"\nresult = \"154278639\"", "target": "154278639", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '621375984')", "intermediate": "984375621", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"346518279\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"279518346\"\nresult = \"689417352\"", "target": "689417352", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '346518279')", "intermediate": "279518346", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"621798354\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"354798621\"\nresult = \"184295673\"", "target": "184295673", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '621798354')", "intermediate": "354798621", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"781564923\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"923564781\"\nresult = \"143862759\"", "target": "143862759", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '781564923')", "intermediate": "923564781", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"468731259\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"259731468\"\nresult = \"819635472\"", "target": "819635472", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '468731259')", "intermediate": "259731468", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"835926741\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"741926835\"\nresult = \"561324897\"", "target": "561324897", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '835926741')", "intermediate": "741926835", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"457819362\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"362819457\"\nresult = \"792516483\"", "target": "792516483", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '457819362')", "intermediate": "362819457", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"763145289\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"289145763\"\nresult = \"359648712\"", "target": "359648712", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '763145289')", "intermediate": "289145763", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"619478532\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"532478619\"\nresult = \"982173645\"", "target": "982173645", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '619478532')", "intermediate": "532478619", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"284671359\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"359671284\"\nresult = \"419875263\"", "target": "419875263", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '284671359')", "intermediate": "359671284", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"478936521\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"521936478\"\nresult = \"861732495\"", "target": "861732495", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '478936521')", "intermediate": "521936478", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"492861753\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"753861492\"\nresult = \"213965487\"", "target": "213965487", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '492861753')", "intermediate": "753861492", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"169523487\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"487523169\"\nresult = \"937628154\"", "target": "937628154", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '169523487')", "intermediate": "487523169", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"248763591\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"591763248\"\nresult = \"831469275\"", "target": "831469275", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '248763591')", "intermediate": "591763248", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"581394276\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"276394581\"\nresult = \"146897532\"", "target": "146897532", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '581394276')", "intermediate": "276394581", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"531764289\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"289764531\"\nresult = \"149368572\"", "target": "149368572", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '531764289')", "intermediate": "289764531", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"954761238\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"238761954\"\nresult = \"418563972\"", "target": "418563972", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '954761238')", "intermediate": "238761954", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"753946218\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"218946753\"\nresult = \"368541792\"", "target": "368541792", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '753946218')", "intermediate": "218946753", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"469128753\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"753128469\"\nresult = \"983625417\"", "target": "983625417", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '469128753')", "intermediate": "753128469", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"327691845\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"845691327\"\nresult = \"715294368\"", "target": "715294368", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '327691845')", "intermediate": "845691327", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"687234519\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"519234687\"\nresult = \"749831625\"", "target": "749831625", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '687234519')", "intermediate": "519234687", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"348615279\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"279615348\"\nresult = \"859417362\"", "target": "859417362", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '348615279')", "intermediate": "279615348", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"145932768\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"768932145\"\nresult = \"528436197\"", "target": "528436197", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '145932768')", "intermediate": "768932145", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"413879652\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"652879413\"\nresult = \"392175486\"", "target": "392175486", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '413879652')", "intermediate": "652879413", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"482976531\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"531976482\"\nresult = \"261873495\"", "target": "261873495", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '482976531')", "intermediate": "531976482", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"321465987\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"987465321\"\nresult = \"157268349\"", "target": "157268349", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '321465987')", "intermediate": "987465321", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"867214359\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"359214867\"\nresult = \"749615823\"", "target": "749615823", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '867214359')", "intermediate": "359214867", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"581364927\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"927364581\"\nresult = \"147862539\"", "target": "147862539", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '581364927')", "intermediate": "927364581", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"382615497\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"497615382\"\nresult = \"257819364\"", "target": "257819364", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '382615497')", "intermediate": "497615382", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"974268531\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"531268974\"\nresult = \"481763925\"", "target": "481763925", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '974268531')", "intermediate": "531268974", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"385279641\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"641279385\"\nresult = \"591874326\"", "target": "591874326", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '385279641')", "intermediate": "641279385", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"938571264\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"264571938\"\nresult = \"814376952\"", "target": "814376952", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '938571264')", "intermediate": "264571938", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"386192574\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"574192386\"\nresult = \"624897315\"", "target": "624897315", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '386192574')", "intermediate": "574192386", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"746985312\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"312985746\"\nresult = \"652481793\"", "target": "652481793", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '746985312')", "intermediate": "312985746", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"164982375\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"375982164\"\nresult = \"425687193\"", "target": "425687193", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '164982375')", "intermediate": "375982164", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"843127695\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"695127843\"\nresult = \"375429816\"", "target": "375429816", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '843127695')", "intermediate": "695127843", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"546298713\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"713298546\"\nresult = \"683491527\"", "target": "683491527", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '546298713')", "intermediate": "713298546", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"386157492\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"492157386\"\nresult = \"672859314\"", "target": "672859314", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '386157492')", "intermediate": "492157386", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"761594283\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"283594761\"\nresult = \"143698752\"", "target": "143698752", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '761594283')", "intermediate": "283594761", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"597431628\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"628431597\"\nresult = \"718932546\"", "target": "718932546", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '597431628')", "intermediate": "628431597", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"984725613\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"613725984\"\nresult = \"453821976\"", "target": "453821976", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '984725613')", "intermediate": "613725984", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"482563197\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"197563482\"\nresult = \"237869451\"", "target": "237869451", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '482563197')", "intermediate": "197563482", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"148759632\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"632759148\"\nresult = \"892453176\"", "target": "892453176", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '148759632')", "intermediate": "632759148", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"263549871\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"871549263\"\nresult = \"391647258\"", "target": "391647258", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '263549871')", "intermediate": "871549263", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"692541873\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"873541692\"\nresult = \"213947658\"", "target": "213947658", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '692541873')", "intermediate": "873541692", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"639428157\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"157428639\"\nresult = \"987325641\"", "target": "987325641", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '639428157')", "intermediate": "157428639", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"273465198\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"198465273\"\nresult = \"358769241\"", "target": "358769241", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '273465198')", "intermediate": "198465273", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"374826519\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"519826374\"\nresult = \"469721385\"", "target": "469721385", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '374826519')", "intermediate": "519826374", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"625794381\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"381794625\"\nresult = \"541298673\"", "target": "541298673", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '625794381')", "intermediate": "381794625", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"861592437\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"437592861\"\nresult = \"127693854\"", "target": "127693854", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '861592437')", "intermediate": "437592861", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"531826947\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"947826531\"\nresult = \"167324589\"", "target": "167324589", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '531826947')", "intermediate": "947826531", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"382765491\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"491765382\"\nresult = \"251869374\"", "target": "251869374", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '382765491')", "intermediate": "491765382", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"931657428\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"428657931\"\nresult = \"178352964\"", "target": "178352964", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '931657428')", "intermediate": "428657931", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"354972681\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"681972354\"\nresult = \"421578396\"", "target": "421578396", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '354972681')", "intermediate": "681972354", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"235617849\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"849617235\"\nresult = \"579314268\"", "target": "579314268", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '235617849')", "intermediate": "849617235", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"413762985\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"985762413\"\nresult = \"325168479\"", "target": "325168479", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '413762985')", "intermediate": "985762413", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"157648923\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"923648157\"\nresult = \"783542169\"", "target": "783542169", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '157648923')", "intermediate": "923648157", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"263578941\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"941578263\"\nresult = \"381674259\"", "target": "381674259", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '263578941')", "intermediate": "941578263", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"849615237\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"237615849\"\nresult = \"957413862\"", "target": "957413862", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '849615237')", "intermediate": "237615849", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"931754268\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"268754931\"\nresult = \"148356972\"", "target": "148356972", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '931754268')", "intermediate": "268754931", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"137846529\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"529846137\"\nresult = \"769342185\"", "target": "769342185", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '137846529')", "intermediate": "529846137", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"672819354\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"354819672\"\nresult = \"294715683\"", "target": "294715683", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '672819354')", "intermediate": "354819672", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"657291834\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"834291657\"\nresult = \"714593628\"", "target": "714593628", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '657291834')", "intermediate": "834291657", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"387425619\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"619425387\"\nresult = \"759821346\"", "target": "759821346", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '387425619')", "intermediate": "619425387", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"257934618\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"618934257\"\nresult = \"748531296\"", "target": "748531296", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '257934618')", "intermediate": "618934257", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"342597186\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"186597342\"\nresult = \"276498351\"", "target": "276498351", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '342597186')", "intermediate": "186597342", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"962174583\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"583174962\"\nresult = \"243678915\"", "target": "243678915", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '962174583')", "intermediate": "583174962", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"253784196\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"196784253\"\nresult = \"346589271\"", "target": "346589271", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '253784196')", "intermediate": "196784253", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"489725136\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"136725489\"\nresult = \"956823471\"", "target": "956823471", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '489725136')", "intermediate": "136725489", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"319247658\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"658247319\"\nresult = \"978145326\"", "target": "978145326", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '319247658')", "intermediate": "658247319", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"459861372\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"372861459\"\nresult = \"912567483\"", "target": "912567483", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '459861372')", "intermediate": "372861459", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"532749618\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"618749532\"\nresult = \"298341576\"", "target": "298341576", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '532749618')", "intermediate": "618749532", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"968137524\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"524137968\"\nresult = \"874632915\"", "target": "874632915", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '968137524')", "intermediate": "524137968", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"724698531\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"531698724\"\nresult = \"481293765\"", "target": "481293765", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '724698531')", "intermediate": "531698724", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"358946271\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"271946358\"\nresult = \"861547392\"", "target": "861547392", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '358946271')", "intermediate": "271946358", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"195248763\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"763248195\"\nresult = \"583946127\"", "target": "583946127", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '195248763')", "intermediate": "763248195", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"569723814\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"814723569\"\nresult = \"934621578\"", "target": "934621578", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '569723814')", "intermediate": "814723569", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"281349765\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"765349281\"\nresult = \"195846237\"", "target": "195846237", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '281349765')", "intermediate": "765349281", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"397628154\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"154628397\"\nresult = \"784925361\"", "target": "784925361", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '397628154')", "intermediate": "154628397", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"421563987\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"987563421\"\nresult = \"137268459\"", "target": "137268459", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '421563987')", "intermediate": "987563421", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"239618745\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"745618239\"\nresult = \"985314267\"", "target": "985314267", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '239618745')", "intermediate": "745618239", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"876593142\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"142593876\"\nresult = \"632794851\"", "target": "632794851", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '876593142')", "intermediate": "142593876", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"941358276\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"276358941\"\nresult = \"186457932\"", "target": "186457932", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '941358276')", "intermediate": "276358941", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"312589476\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"476589312\"\nresult = \"296187354\"", "target": "296187354", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '312589476')", "intermediate": "476589312", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"194832576\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"576832194\"\nresult = \"426937185\"", "target": "426937185", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '194832576')", "intermediate": "576832194", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"674319528\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"528319674\"\nresult = \"498712635\"", "target": "498712635", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '674319528')", "intermediate": "528319674", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"231875496\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"496875231\"\nresult = \"156379284\"", "target": "156379284", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '231875496')", "intermediate": "496875231", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"293156874\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"874156293\"\nresult = \"364957218\"", "target": "364957218", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '293156874')", "intermediate": "874156293", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"316958472\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"472958316\"\nresult = \"682157394\"", "target": "682157394", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '316958472')", "intermediate": "472958316", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"729314685\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"685314729\"\nresult = \"945218736\"", "target": "945218736", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '729314685')", "intermediate": "685314729", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"417963258\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"258963417\"\nresult = \"738165492\"", "target": "738165492", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '417963258')", "intermediate": "258963417", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"745382961\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"961382745\"\nresult = \"521486739\"", "target": "521486739", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '745382961')", "intermediate": "961382745", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"736452981\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"981452736\"\nresult = \"621358749\"", "target": "621358749", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '736452981')", "intermediate": "981452736", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"459238176\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"176238459\"\nresult = \"986537421\"", "target": "986537421", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '459238176')", "intermediate": "176238459", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"367524891\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"891524367\"\nresult = \"741629358\"", "target": "741629358", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '367524891')", "intermediate": "891524367", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"928745163\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"163745928\"\nresult = \"853246971\"", "target": "853246971", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '928745163')", "intermediate": "163745928", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"952683417\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"417683952\"\nresult = \"237581964\"", "target": "237581964", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '952683417')", "intermediate": "417683952", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"739641582\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"582641739\"\nresult = \"912348765\"", "target": "912348765", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '739641582')", "intermediate": "582641739", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"178952463\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"463952178\"\nresult = \"823756194\"", "target": "823756194", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '178952463')", "intermediate": "463952178", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"897132456\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"456132897\"\nresult = \"726935814\"", "target": "726935814", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '897132456')", "intermediate": "456132897", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"912635874\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"874635912\"\nresult = \"254137968\"", "target": "254137968", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '912635874')", "intermediate": "874635912", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"523864917\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"917864523\"\nresult = \"347261589\"", "target": "347261589", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '523864917')", "intermediate": "917864523", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"263748195\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"195748263\"\nresult = \"385649271\"", "target": "385649271", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '263748195')", "intermediate": "195748263", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"893127645\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"645127893\"\nresult = \"375924816\"", "target": "375924816", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '893127645')", "intermediate": "645127893", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"586927431\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"431927586\"\nresult = \"671823594\"", "target": "671823594", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '586927431')", "intermediate": "431927586", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"468792513\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"513792468\"\nresult = \"823691475\"", "target": "823691475", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '468792513')", "intermediate": "513792468", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"756194328\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"328194756\"\nresult = \"648592713\"", "target": "648592713", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '756194328')", "intermediate": "328194756", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"431762985\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"985762431\"\nresult = \"125368479\"", "target": "125368479", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '431762985')", "intermediate": "985762431", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"745923816\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"816923745\"\nresult = \"536421798\"", "target": "536421798", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '745923816')", "intermediate": "816923745", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"198753246\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"246753198\"\nresult = \"836954172\"", "target": "836954172", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '198753246')", "intermediate": "246753198", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"643581972\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"972581643\"\nresult = \"312487659\"", "target": "312487659", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '643581972')", "intermediate": "972581643", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"423967158\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"158967423\"\nresult = \"378265491\"", "target": "378265491", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '423967158')", "intermediate": "158967423", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"179356428\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"428356179\"\nresult = \"968752134\"", "target": "968752134", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '179356428')", "intermediate": "428356179", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"964275831\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"831275964\"\nresult = \"451673928\"", "target": "451673928", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '964275831')", "intermediate": "831275964", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"231897465\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"465897231\"\nresult = \"175396284\"", "target": "175396284", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '231897465')", "intermediate": "465897231", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"581694732\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"732694581\"\nresult = \"142893567\"", "target": "142893567", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '581694732')", "intermediate": "732694581", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"475938261\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"261938475\"\nresult = \"581736492\"", "target": "581736492", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '475938261')", "intermediate": "261938475", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"583472196\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"196472583\"\nresult = \"326879541\"", "target": "326879541", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '583472196')", "intermediate": "196472583", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"429615837\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"837615429\"\nresult = \"957213468\"", "target": "957213468", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '429615837')", "intermediate": "837615429", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"389512764\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"764512389\"\nresult = \"924816357\"", "target": "924816357", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '389512764')", "intermediate": "764512389", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"158624793\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"793624158\"\nresult = \"843529167\"", "target": "843529167", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '158624793')", "intermediate": "793624158", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"573629814\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"814629573\"\nresult = \"394721568\"", "target": "394721568", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '573629814')", "intermediate": "814629573", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"147239658\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"658239147\"\nresult = \"798435126\"", "target": "798435126", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '147239658')", "intermediate": "658239147", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"425938671\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"671938425\"\nresult = \"581237496\"", "target": "581237496", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '425938671')", "intermediate": "671938425", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"517932486\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"486932517\"\nresult = \"726138594\"", "target": "726138594", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '517932486')", "intermediate": "486932517", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"196728345\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"345728196\"\nresult = \"685924173\"", "target": "685924173", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '196728345')", "intermediate": "345728196", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"925364718\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"718364925\"\nresult = \"548261937\"", "target": "548261937", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '925364718')", "intermediate": "718364925", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"935467182\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"182467935\"\nresult = \"572368941\"", "target": "572368941", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '935467182')", "intermediate": "182467935", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"538794621\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"621794538\"\nresult = \"841392576\"", "target": "841392576", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '538794621')", "intermediate": "621794538", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"486395712\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"712395486\"\nresult = \"652891437\"", "target": "652891437", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '486395712')", "intermediate": "712395486", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"248713659\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"659713248\"\nresult = \"839415276\"", "target": "839415276", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '248713659')", "intermediate": "659713248", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"134568279\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"279568134\"\nresult = \"489367152\"", "target": "489367152", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '134568279')", "intermediate": "279568134", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"782159364\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"364159782\"\nresult = \"294856713\"", "target": "294856713", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '782159364')", "intermediate": "364159782", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"549873216\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"216873549\"\nresult = \"936471582\"", "target": "936471582", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '549873216')", "intermediate": "216873549", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"382795146\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"146795382\"\nresult = \"256894371\"", "target": "256894371", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '382795146')", "intermediate": "146795382", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"365781942\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"942781365\"\nresult = \"512684379\"", "target": "512684379", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '365781942')", "intermediate": "942781365", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"815347629\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"629347815\"\nresult = \"579142836\"", "target": "579142836", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '815347629')", "intermediate": "629347815", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"738152469\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"469152738\"\nresult = \"829356714\"", "target": "829356714", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '738152469')", "intermediate": "469152738", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"369275184\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"184275369\"\nresult = \"954678321\"", "target": "954678321", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '369275184')", "intermediate": "184275369", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"156478392\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"392478156\"\nresult = \"682579143\"", "target": "682579143", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '156478392')", "intermediate": "392478156", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"714925863\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"863925714\"\nresult = \"453126798\"", "target": "453126798", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '714925863')", "intermediate": "863925714", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"957316428\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"428316957\"\nresult = \"768512934\"", "target": "768512934", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '957316428')", "intermediate": "428316957", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"724156398\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"398156724\"\nresult = \"468259713\"", "target": "468259713", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '724156398')", "intermediate": "398156724", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"529374681\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"681374529\"\nresult = \"941278536\"", "target": "941278536", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '529374681')", "intermediate": "681374529", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"856724319\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"319724856\"\nresult = \"649521873\"", "target": "649521873", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '856724319')", "intermediate": "319724856", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"987625314\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"314625987\"\nresult = \"754821963\"", "target": "754821963", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '987625314')", "intermediate": "314625987", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"476853129\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"129853476\"\nresult = \"639752481\"", "target": "639752481", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '476853129')", "intermediate": "129853476", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"421653789\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"789653421\"\nresult = \"139258467\"", "target": "139258467", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '421653789')", "intermediate": "789653421", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"465812397\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"397812465\"\nresult = \"527619483\"", "target": "527619483", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '465812397')", "intermediate": "397812465", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"862974531\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"531974862\"\nresult = \"241673895\"", "target": "241673895", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '862974531')", "intermediate": "531974862", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"715632849\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"849632715\"\nresult = \"529134768\"", "target": "529134768", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '715632849')", "intermediate": "849632715", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"579634182\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"182634579\"\nresult = \"942738561\"", "target": "942738561", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '579634182')", "intermediate": "182634579", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"867253149\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"149253867\"\nresult = \"739654821\"", "target": "739654821", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '867253149')", "intermediate": "149253867", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"812496573\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"573496812\"\nresult = \"263197845\"", "target": "263197845", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '812496573')", "intermediate": "573496812", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"417362958\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"958362417\"\nresult = \"728165439\"", "target": "728165439", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '417362958')", "intermediate": "958362417", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"146879532\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"532879146\"\nresult = \"692473185\"", "target": "692473185", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '146879532')", "intermediate": "532879146", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"673124985\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"985124673\"\nresult = \"345728619\"", "target": "345728619", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '673124985')", "intermediate": "985124673", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"167943582\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"582943167\"\nresult = \"732648195\"", "target": "732648195", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '167943582')", "intermediate": "582943167", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"832149567\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"567149832\"\nresult = \"297346815\"", "target": "297346815", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '832149567')", "intermediate": "567149832", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"734651298\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"298651734\"\nresult = \"418359762\"", "target": "418359762", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '734651298')", "intermediate": "298651734", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"418972635\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"635972418\"\nresult = \"825173496\"", "target": "825173496", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '418972635')", "intermediate": "635972418", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"723658941\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"941658723\"\nresult = \"381254769\"", "target": "381254769", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '723658941')", "intermediate": "941658723", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"395421876\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"876421395\"\nresult = \"516927348\"", "target": "516927348", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '395421876')", "intermediate": "876421395", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"345218967\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"967218345\"\nresult = \"587416329\"", "target": "587416329", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '345218967')", "intermediate": "967218345", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"631294578\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"578294631\"\nresult = \"148397625\"", "target": "148397625", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '631294578')", "intermediate": "578294631", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"254381967\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"967381254\"\nresult = \"417586239\"", "target": "417586239", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '254381967')", "intermediate": "967381254", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"697352814\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"814352697\"\nresult = \"724951638\"", "target": "724951638", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '697352814')", "intermediate": "814352697", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"182946537\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"537946182\"\nresult = \"267843195\"", "target": "267843195", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '182946537')", "intermediate": "537946182", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"273945618\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"618945273\"\nresult = \"358741296\"", "target": "358741296", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '273945618')", "intermediate": "618945273", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"968453712\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"712453968\"\nresult = \"832651947\"", "target": "832651947", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '968453712')", "intermediate": "712453968", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"982315476\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"476315982\"\nresult = \"256817934\"", "target": "256817934", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '982315476')", "intermediate": "476315982", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"672135489\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"489135672\"\nresult = \"259738614\"", "target": "259738614", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '672135489')", "intermediate": "489135672", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"134258796\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"796258134\"\nresult = \"486359127\"", "target": "486359127", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '134258796')", "intermediate": "796258134", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"934782561\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"561782934\"\nresult = \"421386975\"", "target": "421386975", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '934782561')", "intermediate": "561782934", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"795463281\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"281463795\"\nresult = \"531968742\"", "target": "531968742", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '795463281')", "intermediate": "281463795", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"257816349\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"349816257\"\nresult = \"769514283\"", "target": "769514283", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '257816349')", "intermediate": "349816257", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply flip_v to the grid \"192645837\", then apply anti_transpose to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"837645192\"\nresult = \"257943168\"", "target": "257943168", "fn_f": "anti_transpose", "fn_g": "flip_v", "fn_chain": "anti_transpose|flip_v", "input_str": "('grid', '192645837')", "intermediate": "837645192", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"915273486\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"635871429\"\nresult = \"429871635\"", "target": "429871635", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '915273486')", "intermediate": "635871429", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"438196257\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"768593214\"\nresult = \"214593768\"", "target": "214593768", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '438196257')", "intermediate": "768593214", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"724185936\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"654382917\"\nresult = \"917382654\"", "target": "917382654", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '724185936')", "intermediate": "654382917", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"682495731\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"152398746\"\nresult = \"746398152\"", "target": "746398152", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '682495731')", "intermediate": "152398746", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"862197354\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"472596318\"\nresult = \"318596472\"", "target": "318596472", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '862197354')", "intermediate": "472596318", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"642198537\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"782394516\"\nresult = \"516394782\"", "target": "516394782", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '642198537')", "intermediate": "782394516", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"985374261\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"145678239\"\nresult = \"239678145\"", "target": "239678145", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '985374261')", "intermediate": "145678239", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"536742198\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"826943175\"\nresult = \"175943826\"", "target": "175943826", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '536742198')", "intermediate": "826943175", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"352749681\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"192845673\"\nresult = \"673845192\"", "target": "673845192", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '352749681')", "intermediate": "192845673", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"726519843\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"396412857\"\nresult = \"857412396\"", "target": "857412396", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '726519843')", "intermediate": "396412857", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"374219586\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"694817523\"\nresult = \"523817694\"", "target": "523817694", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '374219586')", "intermediate": "694817523", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"735641892\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"215943867\"\nresult = \"867943215\"", "target": "867943215", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '735641892')", "intermediate": "215943867", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"451289637\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"791385624\"\nresult = \"624385791\"", "target": "624385791", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '451289637')", "intermediate": "791385624", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"685327194\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"475928136\"\nresult = \"136928475\"", "target": "136928475", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '685327194')", "intermediate": "475928136", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"392586471\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"162789453\"\nresult = \"453789162\"", "target": "453789162", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '392586471')", "intermediate": "162789453", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"875342691\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"125947638\"\nresult = \"638947125\"", "target": "638947125", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '875342691')", "intermediate": "125947638", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"695378142\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"285479136\"\nresult = \"136479285\"", "target": "136479285", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '695378142')", "intermediate": "285479136", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"861524937\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"741326958\"\nresult = \"958326741\"", "target": "958326741", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '861524937')", "intermediate": "741326958", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"561932847\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"721436895\"\nresult = \"895436721\"", "target": "895436721", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '561932847')", "intermediate": "721436895", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"625391874\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"415792836\"\nresult = \"836792415\"", "target": "836792415", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '625391874')", "intermediate": "415792836", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"156843792\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"236945781\"\nresult = \"781945236\"", "target": "781945236", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '156843792')", "intermediate": "236945781", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"673192584\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"423897516\"\nresult = \"516897423\"", "target": "516897423", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '673192584')", "intermediate": "423897516", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"523978416\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"683172495\"\nresult = \"495172683\"", "target": "495172683", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '523978416')", "intermediate": "683172495", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"752486139\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"962385147\"\nresult = \"147385962\"", "target": "147385962", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '752486139')", "intermediate": "962385147", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"563178942\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"283476915\"\nresult = \"915476283\"", "target": "915476283", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '563178942')", "intermediate": "283476915", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"371285964\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"451687923\"\nresult = \"923687451\"", "target": "923687451", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '371285964')", "intermediate": "451687923", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"348529671\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"198724653\"\nresult = \"653724198\"", "target": "653724198", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '348529671')", "intermediate": "198724653", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"834267519\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"974163528\"\nresult = \"528163974\"", "target": "528163974", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '834267519')", "intermediate": "974163528", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"587124936\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"647328915\"\nresult = \"915328647\"", "target": "915328647", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '587124936')", "intermediate": "647328915", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"475913862\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"235617894\"\nresult = \"894617235\"", "target": "894617235", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '475913862')", "intermediate": "235617894", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"671859342\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"291457386\"\nresult = \"386457291\"", "target": "386457291", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '671859342')", "intermediate": "291457386", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"436957182\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"276853194\"\nresult = \"194853276\"", "target": "194853276", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '436957182')", "intermediate": "276853194", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"562983174\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"432786195\"\nresult = \"195786432\"", "target": "195786432", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '562983174')", "intermediate": "432786195", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"186439572\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"296738541\"\nresult = \"541738296\"", "target": "541738296", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '186439572')", "intermediate": "296738541", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"385479261\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"195678243\"\nresult = \"243678195\"", "target": "243678195", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '385479261')", "intermediate": "195678243", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"921356874\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"461752839\"\nresult = \"839752461\"", "target": "839752461", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '921356874')", "intermediate": "461752839", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"385742916\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"625148973\"\nresult = \"973148625\"", "target": "973148625", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '385742916')", "intermediate": "625148973", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"263598417\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"783196452\"\nresult = \"452196783\"", "target": "452196783", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '263598417')", "intermediate": "783196452", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"854976213\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"364175298\"\nresult = \"298175364\"", "target": "298175364", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '854976213')", "intermediate": "364175298", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"324765891\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"154962873\"\nresult = \"873962154\"", "target": "873962154", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '324765891')", "intermediate": "154962873", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"136789452\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"296583471\"\nresult = \"471583296\"", "target": "471583296", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '136789452')", "intermediate": "296583471", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"437158629\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"987253614\"\nresult = \"614253987\"", "target": "614253987", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '437158629')", "intermediate": "987253614", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"942713685\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"532814679\"\nresult = \"679814532\"", "target": "679814532", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '942713685')", "intermediate": "532814679", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"652437918\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"872135946\"\nresult = \"946135872\"", "target": "946135872", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '652437918')", "intermediate": "872135946", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"297681345\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"517489362\"\nresult = \"362489517\"", "target": "362489517", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '297681345')", "intermediate": "517489362", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"416385972\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"256781934\"\nresult = \"934781256\"", "target": "934781256", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '416385972')", "intermediate": "256781934", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"869472315\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"529176348\"\nresult = \"348176529\"", "target": "348176529", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '869472315')", "intermediate": "529176348", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"583179246\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"693478215\"\nresult = \"215478693\"", "target": "215478693", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '583179246')", "intermediate": "693478215", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"423798615\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"583192674\"\nresult = \"674192583\"", "target": "674192583", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '423798615')", "intermediate": "583192674", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"857369124\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"497265138\"\nresult = \"138265497\"", "target": "138265497", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '857369124')", "intermediate": "497265138", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"879314652\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"249517638\"\nresult = \"638517249\"", "target": "638517249", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '879314652')", "intermediate": "249517638", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"891632547\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"721439568\"\nresult = \"568439721\"", "target": "568439721", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '891632547')", "intermediate": "721439568", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"485219673\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"395718624\"\nresult = \"624718395\"", "target": "624718395", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '485219673')", "intermediate": "395718624", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"842596173\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"362794158\"\nresult = \"158794362\"", "target": "158794362", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '842596173')", "intermediate": "362794158", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"591483276\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"631789245\"\nresult = \"245789631\"", "target": "245789631", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '591483276')", "intermediate": "631789245", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"283975416\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"653178492\"\nresult = \"492178653\"", "target": "492178653", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '283975416')", "intermediate": "653178492", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"481752639\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"921358674\"\nresult = \"674358921\"", "target": "674358921", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '481752639')", "intermediate": "921358674", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"569472831\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"129376845\"\nresult = \"845376129\"", "target": "845376129", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '569472831')", "intermediate": "129376845", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"125768943\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"385462971\"\nresult = \"971462385\"", "target": "971462385", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '125768943')", "intermediate": "385462971", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"238716954\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"468513972\"\nresult = \"972513468\"", "target": "972513468", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '238716954')", "intermediate": "468513972", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"489652137\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"729358164\"\nresult = \"164358729\"", "target": "164358729", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '489652137')", "intermediate": "729358164", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"761382549\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"921486537\"\nresult = \"537486921\"", "target": "537486921", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '761382549')", "intermediate": "921486537", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"249573861\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"139674852\"\nresult = \"852674139\"", "target": "852674139", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '249573861')", "intermediate": "139674852", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"497836251\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"167539284\"\nresult = \"284539167\"", "target": "284539167", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '497836251')", "intermediate": "167539284", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"657831924\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"417235986\"\nresult = \"986235417\"", "target": "986235417", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '657831924')", "intermediate": "417235986", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"472158639\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"982357614\"\nresult = \"614357982\"", "target": "614357982", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '472158639')", "intermediate": "982357614", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"682579341\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"192478356\"\nresult = \"356478192\"", "target": "356478192", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '682579341')", "intermediate": "192478356", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"463718259\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"983516274\"\nresult = \"274516983\"", "target": "274516983", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '463718259')", "intermediate": "983516274", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"491682573\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"321789564\"\nresult = \"564789321\"", "target": "564789321", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '491682573')", "intermediate": "321789564", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"139762584\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"429863571\"\nresult = \"571863429\"", "target": "571863429", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '139762584')", "intermediate": "429863571", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"749536821\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"169234857\"\nresult = \"857234169\"", "target": "857234169", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '749536821')", "intermediate": "169234857", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"435976812\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"265173894\"\nresult = \"894173265\"", "target": "894173265", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '435976812')", "intermediate": "265173894", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"641528397\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"781924356\"\nresult = \"356924781\"", "target": "356924781", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '641528397')", "intermediate": "781924356", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"213459876\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"693751842\"\nresult = \"842751693\"", "target": "842751693", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '213459876')", "intermediate": "693751842", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"817326459\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"967521438\"\nresult = \"438521967\"", "target": "438521967", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '817326459')", "intermediate": "967521438", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"651823497\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"731925486\"\nresult = \"486925731\"", "target": "486925731", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '651823497')", "intermediate": "731925486", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"698154237\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"748359216\"\nresult = \"216359748\"", "target": "216359748", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '698154237')", "intermediate": "748359216", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"634258179\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"984753126\"\nresult = \"126753984\"", "target": "126753984", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '634258179')", "intermediate": "984753126", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"374295186\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"654897123\"\nresult = \"123897654\"", "target": "123897654", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '374295186')", "intermediate": "654897123", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"914853762\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"234651789\"\nresult = \"789651234\"", "target": "789651234", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '914853762')", "intermediate": "234651789", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"856293174\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"436795128\"\nresult = \"128795436\"", "target": "128795436", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '856293174')", "intermediate": "436795128", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"186359472\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"296758431\"\nresult = \"431758296\"", "target": "431758296", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '186359472')", "intermediate": "296758431", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"387215469\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"957618423\"\nresult = \"423618957\"", "target": "423618957", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '387215469')", "intermediate": "957618423", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"187396524\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"467298531\"\nresult = \"531298467\"", "target": "531298467", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '187396524')", "intermediate": "467298531", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"792415863\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"352619847\"\nresult = \"847619352\"", "target": "847619352", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '792415863')", "intermediate": "352619847", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"572481693\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"312987645\"\nresult = \"645987312\"", "target": "645987312", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '572481693')", "intermediate": "312987645", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"984275361\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"154678329\"\nresult = \"329678154\"", "target": "329678154", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '984275361')", "intermediate": "154678329", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"982167435\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"572368419\"\nresult = \"419368572\"", "target": "419368572", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '982167435')", "intermediate": "572368419", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"162974385\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"542876391\"\nresult = \"391876542\"", "target": "391876542", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '162974385')", "intermediate": "542876391", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"697354281\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"147859236\"\nresult = \"236859147\"", "target": "236859147", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '697354281')", "intermediate": "147859236", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"685794321\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"145298376\"\nresult = \"376298145\"", "target": "376298145", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '685794321')", "intermediate": "145298376", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"197352468\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"827659431\"\nresult = \"431659827\"", "target": "431659827", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '197352468')", "intermediate": "827659431", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"241589376\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"691784352\"\nresult = \"352784691\"", "target": "352784691", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '241589376')", "intermediate": "691784352", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"978512364\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"428617359\"\nresult = \"359617428\"", "target": "359617428", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '978512364')", "intermediate": "428617359", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"517492368\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"827691345\"\nresult = \"345691827\"", "target": "345691827", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '517492368')", "intermediate": "827691345", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"829431657\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"719532648\"\nresult = \"648532719\"", "target": "648532719", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '829431657')", "intermediate": "719532648", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"379428651\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"189527643\"\nresult = \"643527189\"", "target": "643527189", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '379428651')", "intermediate": "189527643", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"647893521\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"137294586\"\nresult = \"586294137\"", "target": "586294137", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '647893521')", "intermediate": "137294586", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"236745198\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"856943172\"\nresult = \"172943856\"", "target": "172943856", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '236745198')", "intermediate": "856943172", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"752418396\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"682915347\"\nresult = \"347915682\"", "target": "347915682", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '752418396')", "intermediate": "682915347", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"365198274\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"485796213\"\nresult = \"213796485\"", "target": "213796485", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '365198274')", "intermediate": "485796213", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"864752931\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"124356978\"\nresult = \"978356124\"", "target": "978356124", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '864752931')", "intermediate": "124356978", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"496251837\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"716359824\"\nresult = \"824359716\"", "target": "824359716", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '496251837')", "intermediate": "716359824", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"439685712\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"259183764\"\nresult = \"764183259\"", "target": "764183259", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '439685712')", "intermediate": "259183764", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"576249381\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"196847325\"\nresult = \"325847196\"", "target": "325847196", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '576249381')", "intermediate": "196847325", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"267385149\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"957486132\"\nresult = \"132486957\"", "target": "132486957", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '267385149')", "intermediate": "957486132", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"248793651\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"138594672\"\nresult = \"672594138\"", "target": "672594138", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '248793651')", "intermediate": "138594672", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"483762519\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"923168574\"\nresult = \"574168923\"", "target": "574168923", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '483762519')", "intermediate": "923168574", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"192645387\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"752849361\"\nresult = \"361849752\"", "target": "361849752", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '192645387')", "intermediate": "752849361", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"846397215\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"576194238\"\nresult = \"238194576\"", "target": "238194576", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '846397215')", "intermediate": "576194238", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"782619435\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"592318467\"\nresult = \"467318592\"", "target": "467318592", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '782619435')", "intermediate": "592318467", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"691425837\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"751329846\"\nresult = \"846329751\"", "target": "846329751", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '691425837')", "intermediate": "751329846", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"371948265\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"581647293\"\nresult = \"293647581\"", "target": "293647581", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '371948265')", "intermediate": "581647293", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"178342569\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"928647531\"\nresult = \"531647928\"", "target": "531647928", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '178342569')", "intermediate": "928647531", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"728539641\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"198432657\"\nresult = \"657432198\"", "target": "657432198", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '728539641')", "intermediate": "198432657", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"279351684\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"419857632\"\nresult = \"632857419\"", "target": "632857419", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '279351684')", "intermediate": "419857632", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"614752389\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"924851376\"\nresult = \"376851924\"", "target": "376851924", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '614752389')", "intermediate": "924851376", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"375968142\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"285467193\"\nresult = \"193467285\"", "target": "193467285", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '375968142')", "intermediate": "285467193", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"586741923\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"316248975\"\nresult = \"975248316\"", "target": "975248316", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '586741923')", "intermediate": "316248975", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"946137258\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"876534219\"\nresult = \"219534876\"", "target": "219534876", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '946137258')", "intermediate": "876534219", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"763892541\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"123496587\"\nresult = \"587496123\"", "target": "587496123", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '763892541')", "intermediate": "123496587", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"168732594\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"428936571\"\nresult = \"571936428\"", "target": "571936428", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '168732594')", "intermediate": "428936571", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"197625843\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"357429861\"\nresult = \"861429357\"", "target": "861429357", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '197625843')", "intermediate": "357429861", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"629871543\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"319472586\"\nresult = \"586472319\"", "target": "586472319", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '629871543')", "intermediate": "319472586", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"192437568\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"872639541\"\nresult = \"541639872\"", "target": "541639872", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '192437568')", "intermediate": "872639541", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"952764183\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"342865179\"\nresult = \"179865342\"", "target": "179865342", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '952764183')", "intermediate": "342865179", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"745186923\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"365284917\"\nresult = \"917284365\"", "target": "917284365", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '745186923')", "intermediate": "365284917", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"965831742\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"215436789\"\nresult = \"789436215\"", "target": "789436215", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '965831742')", "intermediate": "215436789", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"432679581\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"192873564\"\nresult = \"564873192\"", "target": "564873192", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '432679581')", "intermediate": "192873564", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"469328157\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"789526134\"\nresult = \"134526789\"", "target": "134526789", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '469328157')", "intermediate": "789526134", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"389745162\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"259648173\"\nresult = \"173648259\"", "target": "173648259", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '389745162')", "intermediate": "259648173", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"132794568\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"842693571\"\nresult = \"571693842\"", "target": "571693842", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '132794568')", "intermediate": "842693571", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"518932476\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"628731495\"\nresult = \"495731628\"", "target": "495731628", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '518932476')", "intermediate": "628731495", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"127963854\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"437562891\"\nresult = \"891562437\"", "target": "891562437", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '127963854')", "intermediate": "437562891", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"815463972\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"235761948\"\nresult = \"948761235\"", "target": "948761235", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '815463972')", "intermediate": "235761948", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"927146358\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"867542319\"\nresult = \"319542867\"", "target": "319542867", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '927146358')", "intermediate": "867542319", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"963214578\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"843716529\"\nresult = \"529716843\"", "target": "529716843", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '963214578')", "intermediate": "843716529", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"568493712\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"238196745\"\nresult = \"745196238\"", "target": "745196238", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '568493712')", "intermediate": "238196745", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"834576219\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"964173258\"\nresult = \"258173964\"", "target": "258173964", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '834576219')", "intermediate": "964173258", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"234867195\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"574963182\"\nresult = \"182963574\"", "target": "182963574", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '234867195')", "intermediate": "574963182", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"827415936\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"657312948\"\nresult = \"948312657\"", "target": "948312657", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '827415936')", "intermediate": "657312948", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"892467153\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"372569148\"\nresult = \"148569372\"", "target": "148569372", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '892467153')", "intermediate": "372569148", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"321687495\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"571982463\"\nresult = \"463982571\"", "target": "463982571", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '321687495')", "intermediate": "571982463", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"389645271\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"159748263\"\nresult = \"263748159\"", "target": "263748159", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '389645271')", "intermediate": "159748263", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"453697128\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"873295164\"\nresult = \"164295873\"", "target": "164295873", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '453697128')", "intermediate": "873295164", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"365482719\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"925186743\"\nresult = \"743186925\"", "target": "743186925", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '365482719')", "intermediate": "925186743", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"273986145\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"563487192\"\nresult = \"192487563\"", "target": "192487563", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '273986145')", "intermediate": "563487192", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"178654923\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"348257961\"\nresult = \"961257348\"", "target": "961257348", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '178654923')", "intermediate": "348257961", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"569734812\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"249136875\"\nresult = \"875136249\"", "target": "875136249", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '569734812')", "intermediate": "249136875", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"367524819\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"947126853\"\nresult = \"853126947\"", "target": "853126947", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '367524819')", "intermediate": "947126853", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"173854296\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"643957281\"\nresult = \"281957643\"", "target": "281957643", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '173854296')", "intermediate": "643957281", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"579634128\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"849237165\"\nresult = \"165237849\"", "target": "165237849", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '579634128')", "intermediate": "849237165", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"892765134\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"452369178\"\nresult = \"178369452\"", "target": "178369452", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '892765134')", "intermediate": "452369178", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"485317269\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"975618234\"\nresult = \"234618975\"", "target": "234618975", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '485317269')", "intermediate": "975618234", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"849752631\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"129354678\"\nresult = \"678354129\"", "target": "678354129", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '849752631')", "intermediate": "129354678", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"398417265\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"578619243\"\nresult = \"243619578\"", "target": "243619578", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '398417265')", "intermediate": "578619243", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"126743985\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"536842971\"\nresult = \"971842536\"", "target": "971842536", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '126743985')", "intermediate": "536842971", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"971284563\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"341687529\"\nresult = \"529687341\"", "target": "529687341", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '971284563')", "intermediate": "341687529", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"297653418\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"837159462\"\nresult = \"462159837\"", "target": "462159837", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '297653418')", "intermediate": "837159462", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"475962183\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"325867194\"\nresult = \"194867325\"", "target": "194867325", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '475962183')", "intermediate": "325867194", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"965482317\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"725186349\"\nresult = \"349186725\"", "target": "349186725", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '965482317')", "intermediate": "725186349", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"794682351\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"124589367\"\nresult = \"367589124\"", "target": "367589124", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '794682351')", "intermediate": "124589367", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"134265978\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"854763921\"\nresult = \"921763854\"", "target": "921763854", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '134265978')", "intermediate": "854763921", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"597361842\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"217469835\"\nresult = \"835469217\"", "target": "835469217", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '597361842')", "intermediate": "217469835", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"479351286\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"619857234\"\nresult = \"234857619\"", "target": "234857619", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '479351286')", "intermediate": "619857234", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"983165274\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"453768219\"\nresult = \"219768453\"", "target": "219768453", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '983165274')", "intermediate": "453768219", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"938647251\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"178543269\"\nresult = \"269543178\"", "target": "269543178", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '938647251')", "intermediate": "178543269", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"978165234\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"458367219\"\nresult = \"219367458\"", "target": "219367458", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '978165234')", "intermediate": "458367219", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"834162579\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"924763518\"\nresult = \"518763924\"", "target": "518763924", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '834162579')", "intermediate": "924763518", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"169723845\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"539426871\"\nresult = \"871426539\"", "target": "871426539", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '169723845')", "intermediate": "539426871", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"521786349\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"961482375\"\nresult = \"375482961\"", "target": "375482961", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '521786349')", "intermediate": "961482375", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"756813294\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"436915287\"\nresult = \"287915436\"", "target": "287915436", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '756813294')", "intermediate": "436915287", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"574189623\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"394287615\"\nresult = \"615287394\"", "target": "615287394", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '574189623')", "intermediate": "394287615", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"589364172\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"249768135\"\nresult = \"135768249\"", "target": "135768249", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '589364172')", "intermediate": "249768135", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"384791256\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"614598273\"\nresult = \"273598614\"", "target": "273598614", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '384791256')", "intermediate": "614598273", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"798513462\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"238619457\"\nresult = \"457619238\"", "target": "457619238", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '798513462')", "intermediate": "238619457", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"572946381\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"162847395\"\nresult = \"395847162\"", "target": "395847162", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '572946381')", "intermediate": "162847395", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"436172859\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"926573814\"\nresult = \"814573926\"", "target": "814573926", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '436172859')", "intermediate": "926573814", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"259136478\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"869735412\"\nresult = \"412735869\"", "target": "412735869", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '259136478')", "intermediate": "869735412", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"524187369\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"974682315\"\nresult = \"315682974\"", "target": "315682974", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '524187369')", "intermediate": "974682315", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"324619587\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"794812563\"\nresult = \"563812794\"", "target": "563812794", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '324619587')", "intermediate": "794812563", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"165927483\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"375826491\"\nresult = \"491826375\"", "target": "491826375", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '165927483')", "intermediate": "375826491", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"621539874\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"491732856\"\nresult = \"856732491\"", "target": "856732491", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '621539874')", "intermediate": "491732856", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"895462371\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"125769348\"\nresult = \"348769125\"", "target": "348769125", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '895462371')", "intermediate": "125769348", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"647913258\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"837514296\"\nresult = \"296514837\"", "target": "296514837", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '647913258')", "intermediate": "837514296", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"173642958\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"823547961\"\nresult = \"961547823\"", "target": "961547823", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '173642958')", "intermediate": "823547961", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"751294368\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"841695327\"\nresult = \"327695841\"", "target": "327695841", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '751294368')", "intermediate": "841695327", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"832675941\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"152473968\"\nresult = \"968473152\"", "target": "968473152", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '832675941')", "intermediate": "152473968", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"827365491\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"157962438\"\nresult = \"438962157\"", "target": "438962157", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '827365491')", "intermediate": "157962438", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"164327589\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"974826531\"\nresult = \"531826974\"", "target": "531826974", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '164327589')", "intermediate": "974826531", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"716852394\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"426951387\"\nresult = \"387951426\"", "target": "387951426", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '716852394')", "intermediate": "426951387", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"917846235\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"567341289\"\nresult = \"289341567\"", "target": "289341567", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '917846235')", "intermediate": "567341289", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"453829167\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"793625184\"\nresult = \"184625793\"", "target": "184625793", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '453829167')", "intermediate": "793625184", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"394876152\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"264579183\"\nresult = \"183579264\"", "target": "183579264", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '394876152')", "intermediate": "264579183", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"358167429\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"978265413\"\nresult = \"413265978\"", "target": "413265978", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '358167429')", "intermediate": "978265413", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"829374156\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"649572138\"\nresult = \"138572649\"", "target": "138572649", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '829374156')", "intermediate": "649572138", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"519628734\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"489321765\"\nresult = \"765321489\"", "target": "765321489", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '519628734')", "intermediate": "489321765", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"826435719\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"956132748\"\nresult = \"748132956\"", "target": "748132956", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '826435719')", "intermediate": "956132748", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"743185962\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"253684917\"\nresult = \"917684253\"", "target": "917684253", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '743185962')", "intermediate": "253684917", "split_id": 0}
+{"task_name": "fg_compose", "task_no": 1, "valid": true, "system": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\".", "messages": [{"role": "system", "content": "You are a precise operations engine. Apply the named operations exactly, in order, and end with result = \"<answer>\"."}, {"role": "user", "content": "Apply anti_transpose to the grid \"394576182\", then apply flip_v to the result.\nReturn one step then the final:\nstep1 = \"<...>\"\nresult = \"<...>\""}], "completion": "step1 = \"264879153\"\nresult = \"153879264\"", "target": "153879264", "fn_f": "flip_v", "fn_g": "anti_transpose", "fn_chain": "flip_v|anti_transpose", "input_str": "('grid', '394576182')", "intermediate": "264879153", "split_id": 0}