{ "manifest": { "config": { "base": "https://api.teai.io", "budget_fx": 200, "cap_jpy": 1400, "cases": [ { "expected": { "order": [ "A", "B", "C", "D" ], "score": 108 }, "family": "plan", "id": "plan-1", "input": { "jobs": [ { "after": [], "duration": 1, "group": "Y", "id": "A", "weight": 6 }, { "after": [], "duration": 3, "group": "Y", "id": "B", "weight": 4 }, { "after": [ "A" ], "duration": 3, "group": "X", "id": "C", "weight": 3 }, { "after": [], "duration": 6, "group": "Y", "id": "D", "weight": 5 } ], "switch": 0 }, "level": 1, "prompt": "One worker executes all jobs without idle time, starting at time 0. Each job must start after all its after jobs finish. Before a job, add switch minutes when its group differs from the previous job. No setup before the first job. Minimize sum(weight * completion_time) over ALL jobs. Among tied optima choose the lexicographically smallest order of IDs. Return JSON {\"order\":[IDs],\"score\":integer}. {\"jobs\":[{\"after\":[],\"duration\":1,\"group\":\"Y\",\"id\":\"A\",\"weight\":6},{\"after\":[],\"duration\":3,\"group\":\"Y\",\"id\":\"B\",\"weight\":4},{\"after\":[\"A\"],\"duration\":3,\"group\":\"X\",\"id\":\"C\",\"weight\":3},{\"after\":[],\"duration\":6,\"group\":\"Y\",\"id\":\"D\",\"weight\":5}],\"switch\":0}" }, { "expected": [ { "billed": 1200, "customer": "A", "open": 700, "paid": 500 }, { "billed": 1337, "customer": "B", "open": 776, "paid": 561 }, { "billed": 1474, "customer": "C", "open": 852, "paid": 622 }, { "billed": 0, "customer": "D", "open": 0, "paid": 0 } ], "family": "ledger", "id": "ledger-1", "input": { "events": [ { "amount": 500, "day": 10, "id": "P00", "invoice": "I00", "status": "posted" }, { "amount": 622, "day": 12, "id": "P02", "invoice": "I02", "status": "posted" }, { "amount": 561, "day": 11, "id": "P01", "invoice": "I01", "status": "posted" } ], "invoices": [ { "amount": 1200, "customer": "A", "id": "I00", "status": "active", "version": 1 }, { "amount": 1337, "customer": "B", "id": "I01", "status": "active", "version": 1 }, { "amount": 1474, "customer": "C", "id": "I02", "status": "active", "version": 1 } ] }, "level": 1, "prompt": "Compute this synthetic ledger, all amounts integer minor units. For each invoice ID keep only the highest version. Discard void invoices AND all their payment events. Deduplicate events by event ID (duplicates are identical). Count only posted events with day <= 20; negative amounts are refunds. For each customer A,B,C,D in that order return billed=sum(active invoice amounts), paid=sum(eligible signed payments), open=billed-paid (do not clamp). Include customers with no invoices as zeros. JSON array only, each object has customer,billed,paid,open. {\"events\":[{\"amount\":500,\"day\":10,\"id\":\"P00\",\"invoice\":\"I00\",\"status\":\"posted\"},{\"amount\":622,\"day\":12,\"id\":\"P02\",\"invoice\":\"I02\",\"status\":\"posted\"},{\"amount\":561,\"day\":11,\"id\":\"P01\",\"invoice\":\"I01\",\"status\":\"posted\"}],\"invoices\":[{\"amount\":1200,\"customer\":\"A\",\"id\":\"I00\",\"status\":\"active\",\"version\":1},{\"amount\":1337,\"customer\":\"B\",\"id\":\"I01\",\"status\":\"active\",\"version\":1},{\"amount\":1474,\"customer\":\"C\",\"id\":\"I02\",\"status\":\"active\",\"version\":1}]}" }, { "expected": { "order": [ "B", "C", "E", "A", "D", "F" ], "score": 373 }, "family": "plan", "id": "plan-2", "input": { "jobs": [ { "after": [], "duration": 5, "group": "X", "id": "A", "weight": 5 }, { "after": [], "duration": 3, "group": "Y", "id": "B", "weight": 6 }, { "after": [ "B" ], "duration": 3, "group": "X", "id": "C", "weight": 4 }, { "after": [], "duration": 8, "group": "X", "id": "D", "weight": 4 }, { "after": [ "C" ], "duration": 2, "group": "X", "id": "E", "weight": 6 }, { "after": [], "duration": 7, "group": "Y", "id": "F", "weight": 3 } ], "switch": 2 }, "level": 2, "prompt": "One worker executes all jobs without idle time, starting at time 0. Each job must start after all its after jobs finish. Before a job, add switch minutes when its group differs from the previous job. No setup before the first job. Minimize sum(weight * completion_time) over ALL jobs. Among tied optima choose the lexicographically smallest order of IDs. Return JSON {\"order\":[IDs],\"score\":integer}. {\"jobs\":[{\"after\":[],\"duration\":5,\"group\":\"X\",\"id\":\"A\",\"weight\":5},{\"after\":[],\"duration\":3,\"group\":\"Y\",\"id\":\"B\",\"weight\":6},{\"after\":[\"B\"],\"duration\":3,\"group\":\"X\",\"id\":\"C\",\"weight\":4},{\"after\":[],\"duration\":8,\"group\":\"X\",\"id\":\"D\",\"weight\":4},{\"after\":[\"C\"],\"duration\":2,\"group\":\"X\",\"id\":\"E\",\"weight\":6},{\"after\":[],\"duration\":7,\"group\":\"Y\",\"id\":\"F\",\"weight\":3}],\"switch\":2}" }, { "expected": [ { "billed": 3042, "customer": "A", "open": 1859, "paid": 1183 }, { "billed": 3316, "customer": "B", "open": 2011, "paid": 1305 }, { "billed": 3590, "customer": "C", "open": 2163, "paid": 1427 }, { "billed": 0, "customer": "D", "open": 0, "paid": 0 } ], "family": "ledger", "id": "ledger-2", "input": { "events": [ { "amount": 805, "day": 15, "id": "P05", "invoice": "I05", "status": "posted" }, { "amount": 744, "day": 14, "id": "P04", "invoice": "I04", "status": "posted" }, { "amount": 683, "day": 13, "id": "P03", "invoice": "I03", "status": "posted" }, { "amount": 683, "day": 13, "id": "P03", "invoice": "I03", "status": "posted" }, { "amount": 805, "day": 15, "id": "P05", "invoice": "I05", "status": "posted" }, { "amount": 622, "day": 12, "id": "P02", "invoice": "I02", "status": "posted" }, { "amount": 500, "day": 10, "id": "P00", "invoice": "I00", "status": "posted" }, { "amount": 622, "day": 12, "id": "P02", "invoice": "I02", "status": "posted" }, { "amount": 744, "day": 14, "id": "P04", "invoice": "I04", "status": "posted" }, { "amount": 561, "day": 11, "id": "P01", "invoice": "I01", "status": "posted" }, { "amount": 500, "day": 10, "id": "P00", "invoice": "I00", "status": "posted" }, { "amount": 561, "day": 11, "id": "P01", "invoice": "I01", "status": "posted" } ], "invoices": [ { "amount": 1979, "customer": "B", "id": "I04", "status": "active", "version": 2 }, { "amount": 1337, "customer": "B", "id": "I01", "status": "active", "version": 1 }, { "amount": 1200, "customer": "A", "id": "I00", "status": "active", "version": 1 }, { "amount": 1885, "customer": "C", "id": "I05", "status": "active", "version": 1 }, { "amount": 1431, "customer": "A", "id": "I00", "status": "active", "version": 2 }, { "amount": 1611, "customer": "A", "id": "I03", "status": "active", "version": 1 }, { "amount": 1748, "customer": "B", "id": "I04", "status": "active", "version": 1 }, { "amount": 1705, "customer": "C", "id": "I02", "status": "active", "version": 2 }, { "amount": 1474, "customer": "C", "id": "I02", "status": "active", "version": 1 } ] }, "level": 2, "prompt": "Compute this synthetic ledger, all amounts integer minor units. For each invoice ID keep only the highest version. Discard void invoices AND all their payment events. Deduplicate events by event ID (duplicates are identical). Count only posted events with day <= 20; negative amounts are refunds. For each customer A,B,C,D in that order return billed=sum(active invoice amounts), paid=sum(eligible signed payments), open=billed-paid (do not clamp). Include customers with no invoices as zeros. JSON array only, each object has customer,billed,paid,open. {\"events\":[{\"amount\":805,\"day\":15,\"id\":\"P05\",\"invoice\":\"I05\",\"status\":\"posted\"},{\"amount\":744,\"day\":14,\"id\":\"P04\",\"invoice\":\"I04\",\"status\":\"posted\"},{\"amount\":683,\"day\":13,\"id\":\"P03\",\"invoice\":\"I03\",\"status\":\"posted\"},{\"amount\":683,\"day\":13,\"id\":\"P03\",\"invoice\":\"I03\",\"status\":\"posted\"},{\"amount\":805,\"day\":15,\"id\":\"P05\",\"invoice\":\"I05\",\"status\":\"posted\"},{\"amount\":622,\"day\":12,\"id\":\"P02\",\"invoice\":\"I02\",\"status\":\"posted\"},{\"amount\":500,\"day\":10,\"id\":\"P00\",\"invoice\":\"I00\",\"status\":\"posted\"},{\"amount\":622,\"day\":12,\"id\":\"P02\",\"invoice\":\"I02\",\"status\":\"posted\"},{\"amount\":744,\"day\":14,\"id\":\"P04\",\"invoice\":\"I04\",\"status\":\"posted\"},{\"amount\":561,\"day\":11,\"id\":\"P01\",\"invoice\":\"I01\",\"status\":\"posted\"},{\"amount\":500,\"day\":10,\"id\":\"P00\",\"invoice\":\"I00\",\"status\":\"posted\"},{\"amount\":561,\"day\":11,\"id\":\"P01\",\"invoice\":\"I01\",\"status\":\"posted\"}],\"invoices\":[{\"amount\":1979,\"customer\":\"B\",\"id\":\"I04\",\"status\":\"active\",\"version\":2},{\"amount\":1337,\"customer\":\"B\",\"id\":\"I01\",\"status\":\"active\",\"version\":1},{\"amount\":1200,\"customer\":\"A\",\"id\":\"I00\",\"status\":\"active\",\"version\":1},{\"amount\":1885,\"customer\":\"C\",\"id\":\"I05\",\"status\":\"active\",\"version\":1},{\"amount\":1431,\"customer\":\"A\",\"id\":\"I00\",\"status\":\"active\",\"version\":2},{\"amount\":1611,\"customer\":\"A\",\"id\":\"I03\",\"status\":\"active\",\"version\":1},{\"amount\":1748,\"customer\":\"B\",\"id\":\"I04\",\"status\":\"active\",\"version\":1},{\"amount\":1705,\"customer\":\"C\",\"id\":\"I02\",\"status\":\"active\",\"version\":2},{\"amount\":1474,\"customer\":\"C\",\"id\":\"I02\",\"status\":\"active\",\"version\":1}]}" }, { "expected": { "order": [ "B", "H", "C", "G", "F", "D", "E", "A" ], "score": 740 }, "family": "plan", "id": "plan-3", "input": { "jobs": [ { "after": [], "duration": 8, "group": "Y", "id": "A", "weight": 1 }, { "after": [], "duration": 2, "group": "Y", "id": "B", "weight": 8 }, { "after": [ "B" ], "duration": 8, "group": "Y", "id": "C", "weight": 6 }, { "after": [], "duration": 3, "group": "X", "id": "D", "weight": 3 }, { "after": [ "C" ], "duration": 7, "group": "Y", "id": "E", "weight": 5 }, { "after": [], "duration": 5, "group": "X", "id": "F", "weight": 7 }, { "after": [ "C" ], "duration": 3, "group": "X", "id": "G", "weight": 8 }, { "after": [], "duration": 3, "group": "Y", "id": "H", "weight": 3 } ], "switch": 3 }, "level": 3, "prompt": "One worker executes all jobs without idle time, starting at time 0. Each job must start after all its after jobs finish. Before a job, add switch minutes when its group differs from the previous job. No setup before the first job. Minimize sum(weight * completion_time) over ALL jobs. Among tied optima choose the lexicographically smallest order of IDs. Return JSON {\"order\":[IDs],\"score\":integer}. {\"jobs\":[{\"after\":[],\"duration\":8,\"group\":\"Y\",\"id\":\"A\",\"weight\":1},{\"after\":[],\"duration\":2,\"group\":\"Y\",\"id\":\"B\",\"weight\":8},{\"after\":[\"B\"],\"duration\":8,\"group\":\"Y\",\"id\":\"C\",\"weight\":6},{\"after\":[],\"duration\":3,\"group\":\"X\",\"id\":\"D\",\"weight\":3},{\"after\":[\"C\"],\"duration\":7,\"group\":\"Y\",\"id\":\"E\",\"weight\":5},{\"after\":[],\"duration\":5,\"group\":\"X\",\"id\":\"F\",\"weight\":7},{\"after\":[\"C\"],\"duration\":3,\"group\":\"X\",\"id\":\"G\",\"weight\":8},{\"after\":[],\"duration\":3,\"group\":\"Y\",\"id\":\"H\",\"weight\":3}],\"switch\":3}" }, { "expected": [ { "billed": 5295, "customer": "A", "open": 3492, "paid": 1803 }, { "billed": 4138, "customer": "B", "open": 2636, "paid": 1502 }, { "billed": 4232, "customer": "C", "open": 2790, "paid": 1442 }, { "billed": 0, "customer": "D", "open": 0, "paid": 0 } ], "family": "ledger", "id": "ledger-3", "input": { "events": [ { "amount": 805, "day": 15, "id": "P05", "invoice": "I05", "status": "posted" }, { "amount": 988, "day": 18, "id": "P08", "invoice": "I08", "status": "posted" }, { "amount": -80, "day": 18, "id": "R01", "invoice": "I01", "status": "posted" }, { "amount": -87, "day": 18, "id": "R08", "invoice": "I08", "status": "posted" }, { "amount": 622, "day": 12, "id": "P02", "invoice": "I02", "status": "posted" }, { "amount": -88, "day": 18, "id": "R09", "invoice": "I09", "status": "posted" }, { "amount": -84, "day": 18, "id": "R05", "invoice": "I05", "status": "posted" }, { "amount": 744, "day": 14, "id": "P04", "invoice": "I04", "status": "posted" }, { "amount": 1049, "day": 19, "id": "P09", "invoice": "I09", "status": "posted" }, { "amount": 500, "day": 10, "id": "P00", "invoice": "I00", "status": "posted" }, { "amount": 683, "day": 13, "id": "P03", "invoice": "I03", "status": "posted" }, { "amount": 927, "day": 17, "id": "P07", "invoice": "I07", "status": "posted" }, { "amount": -83, "day": 18, "id": "R04", "invoice": "I04", "status": "posted" }, { "amount": 561, "day": 11, "id": "P01", "invoice": "I01", "status": "posted" }, { "amount": 622, "day": 12, "id": "P02", "invoice": "I02", "status": "posted" }, { "amount": 866, "day": 16, "id": "P06", "invoice": "I06", "status": "posted" }, { "amount": -86, "day": 18, "id": "R07", "invoice": "I07", "status": "posted" }, { "amount": 805, "day": 15, "id": "P05", "invoice": "I05", "status": "posted" }, { "amount": 1049, "day": 19, "id": "P09", "invoice": "I09", "status": "posted" }, { "amount": 744, "day": 14, "id": "P04", "invoice": "I04", "status": "posted" }, { "amount": -79, "day": 18, "id": "R00", "invoice": "I00", "status": "posted" }, { "amount": 683, "day": 13, "id": "P03", "invoice": "I03", "status": "posted" }, { "amount": 500, "day": 10, "id": "P00", "invoice": "I00", "status": "posted" }, { "amount": -85, "day": 18, "id": "R06", "invoice": "I06", "status": "posted" }, { "amount": 866, "day": 16, "id": "P06", "invoice": "I06", "status": "posted" }, { "amount": -81, "day": 18, "id": "R02", "invoice": "I02", "status": "posted" }, { "amount": 927, "day": 17, "id": "P07", "invoice": "I07", "status": "posted" }, { "amount": 561, "day": 11, "id": "P01", "invoice": "I01", "status": "posted" }, { "amount": -82, "day": 18, "id": "R03", "invoice": "I03", "status": "posted" }, { "amount": 988, "day": 18, "id": "P08", "invoice": "I08", "status": "posted" } ], "invoices": [ { "amount": 1885, "customer": "C", "id": "I05", "status": "active", "version": 1 }, { "amount": 1200, "customer": "A", "id": "I00", "status": "active", "version": 1 }, { "amount": 1474, "customer": "C", "id": "I02", "status": "active", "version": 1 }, { "amount": 1337, "customer": "B", "id": "I01", "status": "void", "version": 3 }, { "amount": 1979, "customer": "B", "id": "I04", "status": "active", "version": 2 }, { "amount": 1885, "customer": "C", "id": "I05", "status": "void", "version": 3 }, { "amount": 2433, "customer": "A", "id": "I09", "status": "active", "version": 1 }, { "amount": 2527, "customer": "C", "id": "I08", "status": "active", "version": 2 }, { "amount": 1337, "customer": "B", "id": "I01", "status": "active", "version": 1 }, { "amount": 2296, "customer": "C", "id": "I08", "status": "active", "version": 1 }, { "amount": 1431, "customer": "A", "id": "I00", "status": "active", "version": 2 }, { "amount": 2022, "customer": "A", "id": "I06", "status": "active", "version": 1 }, { "amount": 1748, "customer": "B", "id": "I04", "status": "active", "version": 1 }, { "amount": 2433, "customer": "A", "id": "I09", "status": "void", "version": 3 }, { "amount": 1705, "customer": "C", "id": "I02", "status": "active", "version": 2 }, { "amount": 2253, "customer": "A", "id": "I06", "status": "active", "version": 2 }, { "amount": 1611, "customer": "A", "id": "I03", "status": "active", "version": 1 }, { "amount": 2159, "customer": "B", "id": "I07", "status": "active", "version": 1 } ] }, "level": 3, "prompt": "Compute this synthetic ledger, all amounts integer minor units. For each invoice ID keep only the highest version. Discard void invoices AND all their payment events. Deduplicate events by event ID (duplicates are identical). Count only posted events with day <= 20; negative amounts are refunds. For each customer A,B,C,D in that order return billed=sum(active invoice amounts), paid=sum(eligible signed payments), open=billed-paid (do not clamp). Include customers with no invoices as zeros. JSON array only, each object has customer,billed,paid,open. {\"events\":[{\"amount\":805,\"day\":15,\"id\":\"P05\",\"invoice\":\"I05\",\"status\":\"posted\"},{\"amount\":988,\"day\":18,\"id\":\"P08\",\"invoice\":\"I08\",\"status\":\"posted\"},{\"amount\":-80,\"day\":18,\"id\":\"R01\",\"invoice\":\"I01\",\"status\":\"posted\"},{\"amount\":-87,\"day\":18,\"id\":\"R08\",\"invoice\":\"I08\",\"status\":\"posted\"},{\"amount\":622,\"day\":12,\"id\":\"P02\",\"invoice\":\"I02\",\"status\":\"posted\"},{\"amount\":-88,\"day\":18,\"id\":\"R09\",\"invoice\":\"I09\",\"status\":\"posted\"},{\"amount\":-84,\"day\":18,\"id\":\"R05\",\"invoice\":\"I05\",\"status\":\"posted\"},{\"amount\":744,\"day\":14,\"id\":\"P04\",\"invoice\":\"I04\",\"status\":\"posted\"},{\"amount\":1049,\"day\":19,\"id\":\"P09\",\"invoice\":\"I09\",\"status\":\"posted\"},{\"amount\":500,\"day\":10,\"id\":\"P00\",\"invoice\":\"I00\",\"status\":\"posted\"},{\"amount\":683,\"day\":13,\"id\":\"P03\",\"invoice\":\"I03\",\"status\":\"posted\"},{\"amount\":927,\"day\":17,\"id\":\"P07\",\"invoice\":\"I07\",\"status\":\"posted\"},{\"amount\":-83,\"day\":18,\"id\":\"R04\",\"invoice\":\"I04\",\"status\":\"posted\"},{\"amount\":561,\"day\":11,\"id\":\"P01\",\"invoice\":\"I01\",\"status\":\"posted\"},{\"amount\":622,\"day\":12,\"id\":\"P02\",\"invoice\":\"I02\",\"status\":\"posted\"},{\"amount\":866,\"day\":16,\"id\":\"P06\",\"invoice\":\"I06\",\"status\":\"posted\"},{\"amount\":-86,\"day\":18,\"id\":\"R07\",\"invoice\":\"I07\",\"status\":\"posted\"},{\"amount\":805,\"day\":15,\"id\":\"P05\",\"invoice\":\"I05\",\"status\":\"posted\"},{\"amount\":1049,\"day\":19,\"id\":\"P09\",\"invoice\":\"I09\",\"status\":\"posted\"},{\"amount\":744,\"day\":14,\"id\":\"P04\",\"invoice\":\"I04\",\"status\":\"posted\"},{\"amount\":-79,\"day\":18,\"id\":\"R00\",\"invoice\":\"I00\",\"status\":\"posted\"},{\"amount\":683,\"day\":13,\"id\":\"P03\",\"invoice\":\"I03\",\"status\":\"posted\"},{\"amount\":500,\"day\":10,\"id\":\"P00\",\"invoice\":\"I00\",\"status\":\"posted\"},{\"amount\":-85,\"day\":18,\"id\":\"R06\",\"invoice\":\"I06\",\"status\":\"posted\"},{\"amount\":866,\"day\":16,\"id\":\"P06\",\"invoice\":\"I06\",\"status\":\"posted\"},{\"amount\":-81,\"day\":18,\"id\":\"R02\",\"invoice\":\"I02\",\"status\":\"posted\"},{\"amount\":927,\"day\":17,\"id\":\"P07\",\"invoice\":\"I07\",\"status\":\"posted\"},{\"amount\":561,\"day\":11,\"id\":\"P01\",\"invoice\":\"I01\",\"status\":\"posted\"},{\"amount\":-82,\"day\":18,\"id\":\"R03\",\"invoice\":\"I03\",\"status\":\"posted\"},{\"amount\":988,\"day\":18,\"id\":\"P08\",\"invoice\":\"I08\",\"status\":\"posted\"}],\"invoices\":[{\"amount\":1885,\"customer\":\"C\",\"id\":\"I05\",\"status\":\"active\",\"version\":1},{\"amount\":1200,\"customer\":\"A\",\"id\":\"I00\",\"status\":\"active\",\"version\":1},{\"amount\":1474,\"customer\":\"C\",\"id\":\"I02\",\"status\":\"active\",\"version\":1},{\"amount\":1337,\"customer\":\"B\",\"id\":\"I01\",\"status\":\"void\",\"version\":3},{\"amount\":1979,\"customer\":\"B\",\"id\":\"I04\",\"status\":\"active\",\"version\":2},{\"amount\":1885,\"customer\":\"C\",\"id\":\"I05\",\"status\":\"void\",\"version\":3},{\"amount\":2433,\"customer\":\"A\",\"id\":\"I09\",\"status\":\"active\",\"version\":1},{\"amount\":2527,\"customer\":\"C\",\"id\":\"I08\",\"status\":\"active\",\"version\":2},{\"amount\":1337,\"customer\":\"B\",\"id\":\"I01\",\"status\":\"active\",\"version\":1},{\"amount\":2296,\"customer\":\"C\",\"id\":\"I08\",\"status\":\"active\",\"version\":1},{\"amount\":1431,\"customer\":\"A\",\"id\":\"I00\",\"status\":\"active\",\"version\":2},{\"amount\":2022,\"customer\":\"A\",\"id\":\"I06\",\"status\":\"active\",\"version\":1},{\"amount\":1748,\"customer\":\"B\",\"id\":\"I04\",\"status\":\"active\",\"version\":1},{\"amount\":2433,\"customer\":\"A\",\"id\":\"I09\",\"status\":\"void\",\"version\":3},{\"amount\":1705,\"customer\":\"C\",\"id\":\"I02\",\"status\":\"active\",\"version\":2},{\"amount\":2253,\"customer\":\"A\",\"id\":\"I06\",\"status\":\"active\",\"version\":2},{\"amount\":1611,\"customer\":\"A\",\"id\":\"I03\",\"status\":\"active\",\"version\":1},{\"amount\":2159,\"customer\":\"B\",\"id\":\"I07\",\"status\":\"active\",\"version\":1}]}" }, { "expected": { "order": [ "A", "I", "B", "C", "G", "F", "E", "J", "D", "H" ], "score": 1167 }, "family": "plan", "id": "plan-4", "input": { "jobs": [ { "after": [], "duration": 1, "group": "Y", "id": "A", "weight": 7 }, { "after": [], "duration": 5, "group": "Y", "id": "B", "weight": 6 }, { "after": [ "A" ], "duration": 4, "group": "Y", "id": "C", "weight": 3 }, { "after": [], "duration": 3, "group": "X", "id": "D", "weight": 1 }, { "after": [ "B" ], "duration": 7, "group": "X", "id": "E", "weight": 8 }, { "after": [], "duration": 5, "group": "X", "id": "F", "weight": 6 }, { "after": [ "C" ], "duration": 7, "group": "X", "id": "G", "weight": 9 }, { "after": [], "duration": 8, "group": "X", "id": "H", "weight": 2 }, { "after": [ "A" ], "duration": 3, "group": "Y", "id": "I", "weight": 9 }, { "after": [], "duration": 5, "group": "X", "id": "J", "weight": 5 } ], "switch": 4 }, "level": 4, "prompt": "One worker executes all jobs without idle time, starting at time 0. Each job must start after all its after jobs finish. Before a job, add switch minutes when its group differs from the previous job. No setup before the first job. Minimize sum(weight * completion_time) over ALL jobs. Among tied optima choose the lexicographically smallest order of IDs. Return JSON {\"order\":[IDs],\"score\":integer}. {\"jobs\":[{\"after\":[],\"duration\":1,\"group\":\"Y\",\"id\":\"A\",\"weight\":7},{\"after\":[],\"duration\":5,\"group\":\"Y\",\"id\":\"B\",\"weight\":6},{\"after\":[\"A\"],\"duration\":4,\"group\":\"Y\",\"id\":\"C\",\"weight\":3},{\"after\":[],\"duration\":3,\"group\":\"X\",\"id\":\"D\",\"weight\":1},{\"after\":[\"B\"],\"duration\":7,\"group\":\"X\",\"id\":\"E\",\"weight\":8},{\"after\":[],\"duration\":5,\"group\":\"X\",\"id\":\"F\",\"weight\":6},{\"after\":[\"C\"],\"duration\":7,\"group\":\"X\",\"id\":\"G\",\"weight\":9},{\"after\":[],\"duration\":8,\"group\":\"X\",\"id\":\"H\",\"weight\":2},{\"after\":[\"A\"],\"duration\":3,\"group\":\"Y\",\"id\":\"I\",\"weight\":9},{\"after\":[],\"duration\":5,\"group\":\"X\",\"id\":\"J\",\"weight\":5}],\"switch\":4}" }, { "expected": [ { "billed": 11625, "customer": "A", "open": 10007, "paid": 1618 }, { "billed": 6939, "customer": "B", "open": 4416, "paid": 2523 }, { "billed": 10288, "customer": "C", "open": 9029, "paid": 1259 }, { "billed": 0, "customer": "D", "open": 0, "paid": 0 } ], "family": "ledger", "id": "ledger-4", "input": { "events": [ { "amount": -94, "day": 18, "id": "R15", "invoice": "I15", "status": "posted" }, { "amount": -86, "day": 18, "id": "R07", "invoice": "I07", "status": "posted" }, { "amount": 1293, "day": 23, "id": "P13", "invoice": "I13", "status": "posted" }, { "amount": 805, "day": 15, "id": "P05", "invoice": "I05", "status": "posted" }, { "amount": -82, "day": 18, "id": "R03", "invoice": "I03", "status": "posted" }, { "amount": 622, "day": 12, "id": "P02", "invoice": "I02", "status": "posted" }, { "amount": 400, "day": 12, "id": "Q09", "invoice": "I09", "status": "pending" }, { "amount": -91, "day": 18, "id": "R12", "invoice": "I12", "status": "posted" }, { "amount": 1049, "day": 19, "id": "P09", "invoice": "I09", "status": "posted" }, { "amount": 622, "day": 12, "id": "P02", "invoice": "I02", "status": "posted" }, { "amount": 1049, "day": 19, "id": "P09", "invoice": "I09", "status": "posted" }, { "amount": -88, "day": 18, "id": "R09", "invoice": "I09", "status": "posted" }, { "amount": 1354, "day": 24, "id": "P14", "invoice": "I14", "status": "posted" }, { "amount": 1415, "day": 25, "id": "P15", "invoice": "I15", "status": "posted" }, { "amount": 400, "day": 12, "id": "Q13", "invoice": "I13", "status": "pending" }, { "amount": 1110, "day": 20, "id": "P10", "invoice": "I10", "status": "posted" }, { "amount": 400, "day": 12, "id": "Q04", "invoice": "I04", "status": "pending" }, { "amount": 400, "day": 12, "id": "Q06", "invoice": "I06", "status": "pending" }, { "amount": 805, "day": 15, "id": "P05", "invoice": "I05", "status": "posted" }, { "amount": 927, "day": 17, "id": "P07", "invoice": "I07", "status": "posted" }, { "amount": -85, "day": 18, "id": "R06", "invoice": "I06", "status": "posted" }, { "amount": 866, "day": 16, "id": "P06", "invoice": "I06", "status": "posted" }, { "amount": 400, "day": 12, "id": "Q02", "invoice": "I02", "status": "pending" }, { "amount": 1232, "day": 22, "id": "P12", "invoice": "I12", "status": "posted" }, { "amount": 500, "day": 10, "id": "P00", "invoice": "I00", "status": "posted" }, { "amount": 400, "day": 12, "id": "Q08", "invoice": "I08", "status": "pending" }, { "amount": 561, "day": 11, "id": "P01", "invoice": "I01", "status": "posted" }, { "amount": 400, "day": 12, "id": "Q14", "invoice": "I14", "status": "pending" }, { "amount": -80, "day": 18, "id": "R01", "invoice": "I01", "status": "posted" }, { "amount": -93, "day": 18, "id": "R14", "invoice": "I14", "status": "posted" }, { "amount": 400, "day": 12, "id": "Q11", "invoice": "I11", "status": "pending" }, { "amount": 400, "day": 12, "id": "Q15", "invoice": "I15", "status": "pending" }, { "amount": 1415, "day": 25, "id": "P15", "invoice": "I15", "status": "posted" }, { "amount": 988, "day": 18, "id": "P08", "invoice": "I08", "status": "posted" }, { "amount": 744, "day": 14, "id": "P04", "invoice": "I04", "status": "posted" }, { "amount": 683, "day": 13, "id": "P03", "invoice": "I03", "status": "posted" }, { "amount": 744, "day": 14, "id": "P04", "invoice": "I04", "status": "posted" }, { "amount": -81, "day": 18, "id": "R02", "invoice": "I02", "status": "posted" }, { "amount": -90, "day": 18, "id": "R11", "invoice": "I11", "status": "posted" }, { "amount": -87, "day": 18, "id": "R08", "invoice": "I08", "status": "posted" }, { "amount": 400, "day": 12, "id": "Q03", "invoice": "I03", "status": "pending" }, { "amount": -84, "day": 18, "id": "R05", "invoice": "I05", "status": "posted" }, { "amount": 400, "day": 12, "id": "Q07", "invoice": "I07", "status": "pending" }, { "amount": 400, "day": 12, "id": "Q05", "invoice": "I05", "status": "pending" }, { "amount": 1110, "day": 20, "id": "P10", "invoice": "I10", "status": "posted" }, { "amount": 1171, "day": 21, "id": "P11", "invoice": "I11", "status": "posted" }, { "amount": 400, "day": 12, "id": "Q10", "invoice": "I10", "status": "pending" }, { "amount": -83, "day": 18, "id": "R04", "invoice": "I04", "status": "posted" }, { "amount": 500, "day": 10, "id": "P00", "invoice": "I00", "status": "posted" }, { "amount": 400, "day": 12, "id": "Q01", "invoice": "I01", "status": "pending" }, { "amount": 400, "day": 12, "id": "Q12", "invoice": "I12", "status": "pending" }, { "amount": 400, "day": 12, "id": "Q00", "invoice": "I00", "status": "pending" }, { "amount": 683, "day": 13, "id": "P03", "invoice": "I03", "status": "posted" }, { "amount": -79, "day": 18, "id": "R00", "invoice": "I00", "status": "posted" }, { "amount": 1171, "day": 21, "id": "P11", "invoice": "I11", "status": "posted" }, { "amount": 866, "day": 16, "id": "P06", "invoice": "I06", "status": "posted" }, { "amount": 988, "day": 18, "id": "P08", "invoice": "I08", "status": "posted" }, { "amount": 1293, "day": 23, "id": "P13", "invoice": "I13", "status": "posted" }, { "amount": 1232, "day": 22, "id": "P12", "invoice": "I12", "status": "posted" }, { "amount": -89, "day": 18, "id": "R10", "invoice": "I10", "status": "posted" }, { "amount": -92, "day": 18, "id": "R13", "invoice": "I13", "status": "posted" }, { "amount": 1354, "day": 24, "id": "P14", "invoice": "I14", "status": "posted" }, { "amount": 927, "day": 17, "id": "P07", "invoice": "I07", "status": "posted" }, { "amount": 561, "day": 11, "id": "P01", "invoice": "I01", "status": "posted" } ], "invoices": [ { "amount": 2296, "customer": "C", "id": "I08", "status": "active", "version": 1 }, { "amount": 2981, "customer": "B", "id": "I13", "status": "void", "version": 3 }, { "amount": 1200, "customer": "A", "id": "I00", "status": "active", "version": 1 }, { "amount": 3118, "customer": "C", "id": "I14", "status": "active", "version": 1 }, { "amount": 1337, "customer": "B", "id": "I01", "status": "active", "version": 1 }, { "amount": 2159, "customer": "B", "id": "I07", "status": "active", "version": 1 }, { "amount": 2801, "customer": "B", "id": "I10", "status": "active", "version": 2 }, { "amount": 3255, "customer": "A", "id": "I15", "status": "active", "version": 1 }, { "amount": 1979, "customer": "B", "id": "I04", "status": "active", "version": 2 }, { "amount": 1431, "customer": "A", "id": "I00", "status": "active", "version": 2 }, { "amount": 1748, "customer": "B", "id": "I04", "status": "active", "version": 1 }, { "amount": 2433, "customer": "A", "id": "I09", "status": "void", "version": 3 }, { "amount": 1611, "customer": "A", "id": "I03", "status": "active", "version": 1 }, { "amount": 1885, "customer": "C", "id": "I05", "status": "void", "version": 3 }, { "amount": 1337, "customer": "B", "id": "I01", "status": "void", "version": 3 }, { "amount": 2707, "customer": "C", "id": "I11", "status": "active", "version": 1 }, { "amount": 1885, "customer": "C", "id": "I05", "status": "active", "version": 1 }, { "amount": 3075, "customer": "A", "id": "I12", "status": "active", "version": 2 }, { "amount": 2570, "customer": "B", "id": "I10", "status": "active", "version": 1 }, { "amount": 1705, "customer": "C", "id": "I02", "status": "active", "version": 2 }, { "amount": 2981, "customer": "B", "id": "I13", "status": "active", "version": 1 }, { "amount": 2253, "customer": "A", "id": "I06", "status": "active", "version": 2 }, { "amount": 2022, "customer": "A", "id": "I06", "status": "active", "version": 1 }, { "amount": 1474, "customer": "C", "id": "I02", "status": "active", "version": 1 }, { "amount": 2527, "customer": "C", "id": "I08", "status": "active", "version": 2 }, { "amount": 2433, "customer": "A", "id": "I09", "status": "active", "version": 1 }, { "amount": 3349, "customer": "C", "id": "I14", "status": "active", "version": 2 }, { "amount": 2844, "customer": "A", "id": "I12", "status": "active", "version": 1 } ] }, "level": 4, "prompt": "Compute this synthetic ledger, all amounts integer minor units. For each invoice ID keep only the highest version. Discard void invoices AND all their payment events. Deduplicate events by event ID (duplicates are identical). Count only posted events with day <= 20; negative amounts are refunds. For each customer A,B,C,D in that order return billed=sum(active invoice amounts), paid=sum(eligible signed payments), open=billed-paid (do not clamp). Include customers with no invoices as zeros. JSON array only, each object has customer,billed,paid,open. {\"events\":[{\"amount\":-94,\"day\":18,\"id\":\"R15\",\"invoice\":\"I15\",\"status\":\"posted\"},{\"amount\":-86,\"day\":18,\"id\":\"R07\",\"invoice\":\"I07\",\"status\":\"posted\"},{\"amount\":1293,\"day\":23,\"id\":\"P13\",\"invoice\":\"I13\",\"status\":\"posted\"},{\"amount\":805,\"day\":15,\"id\":\"P05\",\"invoice\":\"I05\",\"status\":\"posted\"},{\"amount\":-82,\"day\":18,\"id\":\"R03\",\"invoice\":\"I03\",\"status\":\"posted\"},{\"amount\":622,\"day\":12,\"id\":\"P02\",\"invoice\":\"I02\",\"status\":\"posted\"},{\"amount\":400,\"day\":12,\"id\":\"Q09\",\"invoice\":\"I09\",\"status\":\"pending\"},{\"amount\":-91,\"day\":18,\"id\":\"R12\",\"invoice\":\"I12\",\"status\":\"posted\"},{\"amount\":1049,\"day\":19,\"id\":\"P09\",\"invoice\":\"I09\",\"status\":\"posted\"},{\"amount\":622,\"day\":12,\"id\":\"P02\",\"invoice\":\"I02\",\"status\":\"posted\"},{\"amount\":1049,\"day\":19,\"id\":\"P09\",\"invoice\":\"I09\",\"status\":\"posted\"},{\"amount\":-88,\"day\":18,\"id\":\"R09\",\"invoice\":\"I09\",\"status\":\"posted\"},{\"amount\":1354,\"day\":24,\"id\":\"P14\",\"invoice\":\"I14\",\"status\":\"posted\"},{\"amount\":1415,\"day\":25,\"id\":\"P15\",\"invoice\":\"I15\",\"status\":\"posted\"},{\"amount\":400,\"day\":12,\"id\":\"Q13\",\"invoice\":\"I13\",\"status\":\"pending\"},{\"amount\":1110,\"day\":20,\"id\":\"P10\",\"invoice\":\"I10\",\"status\":\"posted\"},{\"amount\":400,\"day\":12,\"id\":\"Q04\",\"invoice\":\"I04\",\"status\":\"pending\"},{\"amount\":400,\"day\":12,\"id\":\"Q06\",\"invoice\":\"I06\",\"status\":\"pending\"},{\"amount\":805,\"day\":15,\"id\":\"P05\",\"invoice\":\"I05\",\"status\":\"posted\"},{\"amount\":927,\"day\":17,\"id\":\"P07\",\"invoice\":\"I07\",\"status\":\"posted\"},{\"amount\":-85,\"day\":18,\"id\":\"R06\",\"invoice\":\"I06\",\"status\":\"posted\"},{\"amount\":866,\"day\":16,\"id\":\"P06\",\"invoice\":\"I06\",\"status\":\"posted\"},{\"amount\":400,\"day\":12,\"id\":\"Q02\",\"invoice\":\"I02\",\"status\":\"pending\"},{\"amount\":1232,\"day\":22,\"id\":\"P12\",\"invoice\":\"I12\",\"status\":\"posted\"},{\"amount\":500,\"day\":10,\"id\":\"P00\",\"invoice\":\"I00\",\"status\":\"posted\"},{\"amount\":400,\"day\":12,\"id\":\"Q08\",\"invoice\":\"I08\",\"status\":\"pending\"},{\"amount\":561,\"day\":11,\"id\":\"P01\",\"invoice\":\"I01\",\"status\":\"posted\"},{\"amount\":400,\"day\":12,\"id\":\"Q14\",\"invoice\":\"I14\",\"status\":\"pending\"},{\"amount\":-80,\"day\":18,\"id\":\"R01\",\"invoice\":\"I01\",\"status\":\"posted\"},{\"amount\":-93,\"day\":18,\"id\":\"R14\",\"invoice\":\"I14\",\"status\":\"posted\"},{\"amount\":400,\"day\":12,\"id\":\"Q11\",\"invoice\":\"I11\",\"status\":\"pending\"},{\"amount\":400,\"day\":12,\"id\":\"Q15\",\"invoice\":\"I15\",\"status\":\"pending\"},{\"amount\":1415,\"day\":25,\"id\":\"P15\",\"invoice\":\"I15\",\"status\":\"posted\"},{\"amount\":988,\"day\":18,\"id\":\"P08\",\"invoice\":\"I08\",\"status\":\"posted\"},{\"amount\":744,\"day\":14,\"id\":\"P04\",\"invoice\":\"I04\",\"status\":\"posted\"},{\"amount\":683,\"day\":13,\"id\":\"P03\",\"invoice\":\"I03\",\"status\":\"posted\"},{\"amount\":744,\"day\":14,\"id\":\"P04\",\"invoice\":\"I04\",\"status\":\"posted\"},{\"amount\":-81,\"day\":18,\"id\":\"R02\",\"invoice\":\"I02\",\"status\":\"posted\"},{\"amount\":-90,\"day\":18,\"id\":\"R11\",\"invoice\":\"I11\",\"status\":\"posted\"},{\"amount\":-87,\"day\":18,\"id\":\"R08\",\"invoice\":\"I08\",\"status\":\"posted\"},{\"amount\":400,\"day\":12,\"id\":\"Q03\",\"invoice\":\"I03\",\"status\":\"pending\"},{\"amount\":-84,\"day\":18,\"id\":\"R05\",\"invoice\":\"I05\",\"status\":\"posted\"},{\"amount\":400,\"day\":12,\"id\":\"Q07\",\"invoice\":\"I07\",\"status\":\"pending\"},{\"amount\":400,\"day\":12,\"id\":\"Q05\",\"invoice\":\"I05\",\"status\":\"pending\"},{\"amount\":1110,\"day\":20,\"id\":\"P10\",\"invoice\":\"I10\",\"status\":\"posted\"},{\"amount\":1171,\"day\":21,\"id\":\"P11\",\"invoice\":\"I11\",\"status\":\"posted\"},{\"amount\":400,\"day\":12,\"id\":\"Q10\",\"invoice\":\"I10\",\"status\":\"pending\"},{\"amount\":-83,\"day\":18,\"id\":\"R04\",\"invoice\":\"I04\",\"status\":\"posted\"},{\"amount\":500,\"day\":10,\"id\":\"P00\",\"invoice\":\"I00\",\"status\":\"posted\"},{\"amount\":400,\"day\":12,\"id\":\"Q01\",\"invoice\":\"I01\",\"status\":\"pending\"},{\"amount\":400,\"day\":12,\"id\":\"Q12\",\"invoice\":\"I12\",\"status\":\"pending\"},{\"amount\":400,\"day\":12,\"id\":\"Q00\",\"invoice\":\"I00\",\"status\":\"pending\"},{\"amount\":683,\"day\":13,\"id\":\"P03\",\"invoice\":\"I03\",\"status\":\"posted\"},{\"amount\":-79,\"day\":18,\"id\":\"R00\",\"invoice\":\"I00\",\"status\":\"posted\"},{\"amount\":1171,\"day\":21,\"id\":\"P11\",\"invoice\":\"I11\",\"status\":\"posted\"},{\"amount\":866,\"day\":16,\"id\":\"P06\",\"invoice\":\"I06\",\"status\":\"posted\"},{\"amount\":988,\"day\":18,\"id\":\"P08\",\"invoice\":\"I08\",\"status\":\"posted\"},{\"amount\":1293,\"day\":23,\"id\":\"P13\",\"invoice\":\"I13\",\"status\":\"posted\"},{\"amount\":1232,\"day\":22,\"id\":\"P12\",\"invoice\":\"I12\",\"status\":\"posted\"},{\"amount\":-89,\"day\":18,\"id\":\"R10\",\"invoice\":\"I10\",\"status\":\"posted\"},{\"amount\":-92,\"day\":18,\"id\":\"R13\",\"invoice\":\"I13\",\"status\":\"posted\"},{\"amount\":1354,\"day\":24,\"id\":\"P14\",\"invoice\":\"I14\",\"status\":\"posted\"},{\"amount\":927,\"day\":17,\"id\":\"P07\",\"invoice\":\"I07\",\"status\":\"posted\"},{\"amount\":561,\"day\":11,\"id\":\"P01\",\"invoice\":\"I01\",\"status\":\"posted\"}],\"invoices\":[{\"amount\":2296,\"customer\":\"C\",\"id\":\"I08\",\"status\":\"active\",\"version\":1},{\"amount\":2981,\"customer\":\"B\",\"id\":\"I13\",\"status\":\"void\",\"version\":3},{\"amount\":1200,\"customer\":\"A\",\"id\":\"I00\",\"status\":\"active\",\"version\":1},{\"amount\":3118,\"customer\":\"C\",\"id\":\"I14\",\"status\":\"active\",\"version\":1},{\"amount\":1337,\"customer\":\"B\",\"id\":\"I01\",\"status\":\"active\",\"version\":1},{\"amount\":2159,\"customer\":\"B\",\"id\":\"I07\",\"status\":\"active\",\"version\":1},{\"amount\":2801,\"customer\":\"B\",\"id\":\"I10\",\"status\":\"active\",\"version\":2},{\"amount\":3255,\"customer\":\"A\",\"id\":\"I15\",\"status\":\"active\",\"version\":1},{\"amount\":1979,\"customer\":\"B\",\"id\":\"I04\",\"status\":\"active\",\"version\":2},{\"amount\":1431,\"customer\":\"A\",\"id\":\"I00\",\"status\":\"active\",\"version\":2},{\"amount\":1748,\"customer\":\"B\",\"id\":\"I04\",\"status\":\"active\",\"version\":1},{\"amount\":2433,\"customer\":\"A\",\"id\":\"I09\",\"status\":\"void\",\"version\":3},{\"amount\":1611,\"customer\":\"A\",\"id\":\"I03\",\"status\":\"active\",\"version\":1},{\"amount\":1885,\"customer\":\"C\",\"id\":\"I05\",\"status\":\"void\",\"version\":3},{\"amount\":1337,\"customer\":\"B\",\"id\":\"I01\",\"status\":\"void\",\"version\":3},{\"amount\":2707,\"customer\":\"C\",\"id\":\"I11\",\"status\":\"active\",\"version\":1},{\"amount\":1885,\"customer\":\"C\",\"id\":\"I05\",\"status\":\"active\",\"version\":1},{\"amount\":3075,\"customer\":\"A\",\"id\":\"I12\",\"status\":\"active\",\"version\":2},{\"amount\":2570,\"customer\":\"B\",\"id\":\"I10\",\"status\":\"active\",\"version\":1},{\"amount\":1705,\"customer\":\"C\",\"id\":\"I02\",\"status\":\"active\",\"version\":2},{\"amount\":2981,\"customer\":\"B\",\"id\":\"I13\",\"status\":\"active\",\"version\":1},{\"amount\":2253,\"customer\":\"A\",\"id\":\"I06\",\"status\":\"active\",\"version\":2},{\"amount\":2022,\"customer\":\"A\",\"id\":\"I06\",\"status\":\"active\",\"version\":1},{\"amount\":1474,\"customer\":\"C\",\"id\":\"I02\",\"status\":\"active\",\"version\":1},{\"amount\":2527,\"customer\":\"C\",\"id\":\"I08\",\"status\":\"active\",\"version\":2},{\"amount\":2433,\"customer\":\"A\",\"id\":\"I09\",\"status\":\"active\",\"version\":1},{\"amount\":3349,\"customer\":\"C\",\"id\":\"I14\",\"status\":\"active\",\"version\":2},{\"amount\":2844,\"customer\":\"A\",\"id\":\"I12\",\"status\":\"active\",\"version\":1}]}" } ], "max_tokens": 2048, "models": [ "z-ai/glm-5.3-flash", "deepseek/deepseek-v4.1-flash", "tencent/hy4-preview", "moonshotai/kimi-k3", "openai/gpt-6-astra" ], "rounds": 3, "system": "Solve the supplied synthetic task. Return only the requested JSON, without markdown or explanation. No tools are available.", "temperature": 0, "timeout_s": 120 }, "event": "manifest", "fingerprint": "bb652b795fea78f3100d31e1accb85dd1e1777a20f20f518ae103e8e181a2850", "limitations": [ "Eight synthetic English tasks, three repeated calls per task; repetitions are not independent task samples.", "Size increases by level, but empirical difficulty need not be monotonic.", "No tools, temperature 0, 2048 output tokens; truncation is distinct from a wrong answer.", "API-reported model and route identity, not independent attestation of model weights.", "Selection labels predate this test; coding, tool use, context limits and diverse perspectives are not evaluated.", "Latency is full response wall time, not TTFT. Costs are uncached token estimates, not settled bills.", "No client retries; gateway-side routing/retries may occur. 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