{"query": "The best a knapsack can carry", "count": 20, "results": [{"id": "card_works_knapsack", "title": "The best a knapsack can carry", "shelf": "the-works", "surface": "secular", "snippet": "Given items of weight and value and a fixed capacity, the 0-1 knapsack picks the most valuable subset that fits — here a total value of 7 within a weight of 5. The core of scheduling, budgeting and ca", "authority_tier": "verified", "source": "The Works — worked & sealed", "readable": false, "generated": false}, {"id": "card_calc_v_operations_research_knapsack_01", "title": "Knapsack 01", "shelf": "calculations", "surface": "secular", "snippet": "Knapsack 01 — operations_research. Formula: 0-1 knapsack (DP). Canonical FORM: optimization (d/dx f = 0) — engine verifier operations_research.knapsack_01 — the deterministic check the concordance run", "authority_tier": "reference", "source": "The Calculation Map — every calculation, mapped by form", "readable": false, "generated": false}, {"id": "card_span_5b1cc65fa68c", "title": "Illustrations", "shelf": "practical", "surface": "secular", "snippet": "_Page_\r\n  \"Nessmuk\"                         _Frontispiece_\r\n  Knapsack and Ditty-Bag                         7\r\n  Hatchet and Knives                             8\r\n  Indian Camp                       ", "authority_tier": "primary_pd", "source": "Woodcraft and Camping", "readable": true, "generated": false}, {"id": "card_src_word_knapsack", "title": "knapsack", "shelf": "dictionary", "surface": "secular", "snippet": "knapsack: (noun) a bag carried by a strap on your back or shoulder — syn: backpack, back pack, packsack, rucksack, haversack", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_v_03794e9aea45", "title": "0-1 knapsack (cap 5) → optimal value 7", "shelf": "operations_research", "surface": "secular", "snippet": "Verdict: HOLDS.\n• operations_research.knapsack_01: optimal_value=7.0 (matches claim)\nSealed and independently re-checkable: https://narrowhighway.com/s/146ec914dad0d44e177cd894b09742163848ac2508926d7b", "authority_tier": "engine", "source": "Verified by the engine — operations_research", "readable": false, "generated": false}, {"id": "card_src_word_haversack", "title": "haversack", "shelf": "dictionary", "surface": "secular", "snippet": "haversack: (noun) a bag carried by a strap on your back or shoulder — syn: backpack, back pack, knapsack, packsack, rucksack", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_src_word_packsack", "title": "packsack", "shelf": "dictionary", "surface": "secular", "snippet": "packsack: (noun) a bag carried by a strap on your back or shoulder — syn: backpack, back pack, knapsack, rucksack, haversack", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_src_word_rucksack", "title": "rucksack", "shelf": "dictionary", "surface": "secular", "snippet": "rucksack: (noun) a bag carried by a strap on your back or shoulder — syn: backpack, back pack, knapsack, packsack, haversack", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_src_word_back_pack", "title": "back pack", "shelf": "dictionary", "surface": "secular", "snippet": "back pack: (noun) a bag carried by a strap on your back or shoulder — syn: backpack, knapsack, packsack, rucksack, haversack", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_src_book_17532", "title": "Two Knapsacks: A Novel of Canadian Summer Life — John Campbell", "shelf": "gutenberg", "surface": "secular", "snippet": "Two Knapsacks: A Novel of Canadian Summer Life, by John Campbell. Subjects: Canada -- Fiction. Read the full text (public domain): https://www.gutenberg.org/ebooks/17532", "authority_tier": "reference", "source": "Project Gutenberg (public domain)", "readable": true, "generated": false}, {"id": "card_src_pron_knapsack", "title": "knapsack", "shelf": "pronunciation", "surface": "secular", "snippet": "knapsack: pronounced (ARPABET) N AE1 P S AE2 K. From the CMU Pronouncing Dictionary — the standard machine-readable pronunciations of North American English.", "authority_tier": "reference", "source": "CMU Pronouncing Dictionary (cmudict) — BSD-2-Clause, Carnegie Mellon", "readable": false, "generated": false}, {"id": "card_src_book_78129", "title": "The nature lover's knapsack — Edwin Osgood, 1870-1965 [Editor] Grover", "shelf": "gutenberg", "surface": "secular", "snippet": "The nature lover's knapsack, by Edwin Osgood, 1870-1965 [Editor] Grover. Subjects: English poetry; American poetry; Nature -- Poetry. Read the full text (public domain): https://www.gutenberg.org/eboo", "authority_tier": "reference", "source": "Project Gutenberg (public domain)", "readable": true, "generated": false}, {"id": "card_src_word_backpack", "title": "backpack", "shelf": "dictionary", "surface": "secular", "snippet": "backpack: (noun) a bag carried by a strap on your back or shoulder — syn: back pack, knapsack, packsack, rucksack, haversack · (verb) hike with a backpack — syn: pack", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_src_etym_knapsack", "title": "knapsack", "shelf": "etymology", "surface": "secular", "snippet": "knapsack: etymology (Webster 1913) — n.: [D. knapzak; knappen to eat + zak a bag. See Knap, v. t., and Sack.]. From Webster's Revised Unabridged Dictionary (1913), public domain.", "authority_tier": "reference", "source": "Webster's Revised Unabridged Dictionary (1913), Project Gutenberg eBook #29765 — public domain", "readable": true, "generated": false}, {"id": "card_src_book_11535", "title": "Views A-foot; Or, Europe Seen with Knapsack and Staff — Bayard Taylor", "shelf": "gutenberg", "surface": "secular", "snippet": "Views A-foot; Or, Europe Seen with Knapsack and Staff, by Bayard Taylor. Subjects: Europe -- Description and travel. Read the full text (public domain): https://www.gutenberg.org/ebooks/11535", "authority_tier": "reference", "source": "Project Gutenberg (public domain)", "readable": true, "generated": false}, {"id": "card_principle_napoleon_bonaparte_1d5dc8028c", "title": "Napoleon Bonaparte: There are five things the soldier should never be without--his musket, his ammunition, his knapsack, his provi", "shelf": "strategy", "surface": "secular", "snippet": "There are five things the soldier should never be without--his musket, his ammunition, his knapsack, his provisions (for at least four days), and his entrenching-tool.", "authority_tier": "primary", "source": "Napoleon Bonaparte, The Officer's Manual: Napoleon's Maxims of War (tr. D'Aguilar) (1831) — Project Gutenberg #50750, public domain", "readable": true, "generated": false}, {"id": "card_src_etym_valise", "title": "valise", "shelf": "etymology", "surface": "secular", "snippet": "valise: etymology (Webster 1913) — n.: [F. valise; cf. It. valigia, Sp. balija, LL. valisia, valesia; of uncertain origin, perhaps through (assumed) LL. vidulitia, from L. vidulus a leathern trunk; a ", "authority_tier": "reference", "source": "Webster's Revised Unabridged Dictionary (1913), Project Gutenberg eBook #29765 — public domain", "readable": true, "generated": false}, {"id": "card_src_word_wallet", "title": "wallet", "shelf": "dictionary", "surface": "secular", "snippet": "1. A bag or sack for carrying about the person, as a bag for carrying the necessaries for a journey; a knapsack; a beggar's receptacle for charity; a peddler's pack. [His hood] was trussed up in his w", "authority_tier": "reference", "source": "webster-1913", "readable": false, "generated": false}, {"id": "card_src_etym_budge", "title": "budge", "shelf": "etymology", "surface": "secular", "snippet": "budge: etymology (Webster 1913) — v. i.: [F. bouger to stir, move (akin to Pr. bojar, bolegar, to stir, move, It. bulicare to boil, bubble), fr. L. bullire. See Boil, v. i.]; a.: [See Budge, v.]; n.: ", "authority_tier": "reference", "source": "Webster's Revised Unabridged Dictionary (1913), Project Gutenberg eBook #29765 — public domain", "readable": true, "generated": false}, {"id": "card_seal_8f4c8f834bf693596262243547fdfef631df65028484c9b0b223ecb321e98f65", "title": "Receipt 8f4c8f834bf6… — sealed: record", "shelf": "seals", "surface": "secular", "snippet": "{\n \"anchors\": [],\n \"axis_coords\": {\n  \"axis\": \"operations_research\",\n  \"dimensions\": [\n   \"conservation_balance\",\n   \"reasoning\",\n   \"time_sequence\"\n  ]\n },\n \"gate_results\": [\n  {\n   \"details\": {\n    ", "authority_tier": "engine_derived", "source": "Narrow Highway engine — sealed record", "readable": false, "generated": false}], "house": {"door": "FIND", "kind": "cards", "trail": "results", "seal": null, "next_step": {"do": "open the top card", "door": "FIND", "tool": "card_get", "params": {"id": "card_works_knapsack"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}