{"abstract":"Adult-only tables are rejected with a gap.","category":"Actuarial life tables","checks":7,"contract":"Input groups [[start age, width n, nqx per 100000]]; groups must be contiguous from the first start (else 'gap at <start>'). An nqx of 100000 is the open group and ends the table. Each closed group yields n equal single-year rates 1-(1-nqx)^(1/n) rounded to 8.","evaluation_group":"w2-actuarial_life_tables-abridged-to-single","failed_approach":"Starting from the minimum age misreports unsorted input.","family":"w2-actuarial_life_tables-abridged-to-single-table-start","id":"FA-63681","implementations":{"attempt":{"sha256":"df0a7aa9909413c926dc092cc74afe9ca174adfc8d6fcc1af1e108ce852152cf","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\nimport math\nfrom fractions import Fraction\nN = 1\nobservations = []\ndef solve(x):\n    out=[]; exp_start=min(g[0] for g in x['groups'])\n    for st,n,q in x['groups']:\n        if st!=exp_start: return 'gap at '+str(st)\n        exp_start=st+n\n        if q>=100000: break\n        p1=(1-q/100000)**(1/n)\n        out.extend([round(1-p1,8)]*n)\n    return out\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[['infant groups', {'groups': [[0, 1, 748], [1, 4, 209], [5, 5, 1651], [10, 5, 798], [15, 5, 931], [20, 5, 2632], [25, 5, 2702], [30, 20, 100000]]}, [0.00748, 0.00052291, 0.00052291, 0.00052291, 0.00052291, 0.00332402, 0.00332402, 0.00332402, 0.00332402, 0.00332402, 0.00160112, 0.00160112, 0.00160112, 0.00160112, 0.00160112, 0.00186897, 0.00186897, 0.00186897, 0.00186897, 0.00186897, 0.00532031, 0.00532031, 0.00532031, 0.00532031, 0.00532031, 0.00546337, 0.00546337, 0.00546337, 0.00546337, 0.00546337]], ['adult table from 20', {'groups': [[20, 5, 900], [25, 5, 1101], [30, 10, 3000], [40, 20, 100000]]}, [0.00180652, 0.00180652, 0.00180652, 0.00180652, 0.00180652, 0.00221176, 0.00221176, 0.00221176, 0.00221176, 0.00221176, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129]], ['closed without open group', {'groups': [[0, 1, 510], [1, 4, 262], [5, 5, 2631], [10, 5, 696], [15, 5, 976], [20, 5, 1597], [25, 5, 730]]}, [0.0051, 0.00065564, 0.00065564, 0.00065564, 0.00065564, 0.00531827, 0.00531827, 0.00531827, 0.00531827, 0.00531827, 0.00139589, 0.00139589, 0.00139589, 0.00139589, 0.00139589, 0.00195967, 0.00195967, 0.00195967, 0.00195967, 0.00195967, 0.0032146, 0.0032146, 0.0032146, 0.0032146, 0.0032146, 0.00146428, 0.00146428, 0.00146428, 0.00146428, 0.00146428]], ['gap between groups', {'groups': [[0, 1, 700], [1, 4, 200], [6, 4, 150]]}, 'gap at 6'], ['overlapping groups', {'groups': [[10, 5, 400], [14, 5, 500], [19, 5, 600]]}, 'gap at 14'], ['unsorted groups', {'groups': [[15, 5, 600], [10, 5, 400], [20, 5, 800]]}, 'gap at 10'], ['open group early', {'groups': [[50, 5, 20000], [55, 10, 100000]]}, [0.0436475, 0.0436475, 0.0436475, 0.0436475, 0.0436475]]], [['infant groups', {'groups': [[0, 1, 406], [1, 4, 137], [5, 5, 705], [10, 5, 2892], [15, 5, 1557], [20, 5, 589], [25, 5, 950], [30, 20, 100000]]}, [0.00406, 0.00034268, 0.00034268, 0.00034268, 0.00034268, 0.00141399, 0.00141399, 0.00141399, 0.00141399, 0.00141399, 0.00585209, 0.00585209, 0.00585209, 0.00585209, 0.00585209, 0.00313358, 0.00313358, 0.00313358, 0.00313358, 0.00313358, 0.00118079, 0.00118079, 0.00118079, 0.00118079, 0.00118079, 0.00190726, 0.00190726, 0.00190726, 0.00190726, 0.00190726]], ['adult table from 20', {'groups': [[20, 5, 900], [25, 5, 1102], [30, 10, 3000], [40, 20, 100000]]}, [0.00180652, 0.00180652, 0.00180652, 0.00180652, 0.00180652, 0.00221378, 0.00221378, 0.00221378, 0.00221378, 0.00221378, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129]], ['closed without open group', {'groups': [[0, 1, 431], [1, 4, 105], [5, 5, 1859], [10, 5, 1595], [15, 5, 2533], [20, 5, 876], [25, 5, 705]]}, [0.00431, 0.0002626, 0.0002626, 0.0002626, 0.0002626, 0.00374596, 0.00374596, 0.00374596, 0.00374596, 0.00374596, 0.00321055, 0.00321055, 0.00321055, 0.00321055, 0.00321055, 0.00511812, 0.00511812, 0.00511812, 0.00511812, 0.00511812, 0.00175817, 0.00175817, 0.00175817, 0.00175817, 0.00175817, 0.00141399, 0.00141399, 0.00141399, 0.00141399, 0.00141399]], ['gap between groups', {'groups': [[0, 1, 700], [1, 4, 200], [6, 4, 150]]}, 'gap at 6'], ['overlapping groups', {'groups': [[10, 5, 400], [14, 5, 500], [19, 5, 600]]}, 'gap at 14'], ['unsorted groups', {'groups': [[15, 5, 600], [10, 5, 400], [20, 5, 800]]}, 'gap at 10'], ['open group early', {'groups': [[50, 5, 20000], [55, 10, 100000]]}, [0.0436475, 0.0436475, 0.0436475, 0.0436475, 0.0436475]]], [['infant groups', {'groups': [[0, 1, 436], [1, 4, 270], [5, 5, 359], [10, 5, 2641], [15, 5, 346], [20, 5, 2991], [25, 5, 614], [30, 20, 100000]]}, [0.00436, 0.00067568, 0.00067568, 0.00067568, 0.00067568, 0.00071903, 0.00071903, 0.00071903, 0.00071903, 0.00071903, 0.0053387, 0.0053387, 0.0053387, 0.0053387, 0.0053387, 0.00069296, 0.00069296, 0.00069296, 0.00069296, 0.00069296, 0.00605488, 0.00605488, 0.00605488, 0.00605488, 0.00605488, 0.00123103, 0.00123103, 0.00123103, 0.00123103, 0.00123103]], ['adult table from 20', {'groups': [[20, 5, 900], [25, 5, 1103], [30, 10, 3000], [40, 20, 100000]]}, [0.00180652, 0.00180652, 0.00180652, 0.00180652, 0.00180652, 0.0022158, 0.0022158, 0.0022158, 0.0022158, 0.0022158, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129]], ['closed without open group', {'groups': [[0, 1, 622], [1, 4, 298], [5, 5, 1431], [10, 5, 1208], [15, 5, 861], [20, 5, 1701], [25, 5, 1427]]}, [0.00622, 0.00074583, 0.00074583, 0.00074583, 0.00074583, 0.00287852, 0.00287852, 0.00287852, 0.00287852, 0.00287852, 0.00242776, 0.00242776, 0.00242776, 0.00242776, 0.00242776, 0.00172796, 0.00172796, 0.00172796, 0.00172796, 0.00172796, 0.00342539, 0.00342539, 0.00342539, 0.00342539, 0.00342539, 0.00287043, 0.00287043, 0.00287043, 0.00287043, 0.00287043]], ['gap between groups', {'groups': [[0, 1, 700], [1, 4, 200], [6, 4, 150]]}, 'gap at 6'], ['overlapping groups', {'groups': [[10, 5, 400], [14, 5, 500], [19, 5, 600]]}, 'gap at 14'], ['unsorted groups', {'groups': [[15, 5, 600], [10, 5, 400], [20, 5, 800]]}, 'gap at 10'], ['open group early', {'groups': [[50, 5, 20000], [55, 10, 100000]]}, [0.0436475, 0.0436475, 0.0436475, 0.0436475, 0.0436475]]], [['infant groups', {'groups': [[0, 1, 479], [1, 4, 217], [5, 5, 321], [10, 5, 2470], [15, 5, 1331], [20, 5, 2469], [25, 5, 1105], [30, 20, 100000]]}, [0.00479, 0.00054294, 0.00054294, 0.00054294, 0.00054294, 0.00064283, 0.00064283, 0.00064283, 0.00064283, 0.00064283, 0.00498954, 0.00498954, 0.00498954, 0.00498954, 0.00498954, 0.00267629, 0.00267629, 0.00267629, 0.00267629, 0.00267629, 0.0049875, 0.0049875, 0.0049875, 0.0049875, 0.0049875, 0.00221983, 0.00221983, 0.00221983, 0.00221983, 0.00221983]], ['adult table from 20', {'groups': [[20, 5, 900], [25, 5, 1104], [30, 10, 3000], [40, 20, 100000]]}, [0.00180652, 0.00180652, 0.00180652, 0.00180652, 0.00180652, 0.00221782, 0.00221782, 0.00221782, 0.00221782, 0.00221782, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129]], ['closed without open group', {'groups': [[0, 1, 442], [1, 4, 179], [5, 5, 2837], [10, 5, 2146], [15, 5, 1469], [20, 5, 2654], [25, 5, 1744]]}, [0.00442, 0.0004478, 0.0004478, 0.0004478, 0.0004478, 0.00573951, 0.00573951, 0.00573951, 0.00573951, 0.00573951, 0.00432932, 0.00432932, 0.00432932, 0.00432932, 0.00432932, 0.00295542, 0.00295542, 0.00295542, 0.00295542, 0.00295542, 0.00536526, 0.00536526, 0.00536526, 0.00536526, 0.00536526, 0.00351259, 0.00351259, 0.00351259, 0.00351259, 0.00351259]], ['gap between groups', {'groups': [[0, 1, 700], [1, 4, 200], [6, 4, 150]]}, 'gap at 6'], ['overlapping groups', {'groups': [[10, 5, 400], [14, 5, 500], [19, 5, 600]]}, 'gap at 14'], ['unsorted groups', {'groups': [[15, 5, 600], [10, 5, 400], [20, 5, 800]]}, 'gap at 10'], ['open group early', {'groups': [[50, 5, 20000], [55, 10, 100000]]}, [0.0436475, 0.0436475, 0.0436475, 0.0436475, 0.0436475]]], [['infant groups', {'groups': [[0, 1, 877], [1, 4, 156], [5, 5, 1446], [10, 5, 2000], [15, 5, 2480], [20, 5, 1282], [25, 5, 2160], [30, 20, 100000]]}, [0.00877, 0.00039023, 0.00039023, 0.00039023, 0.00039023, 0.00290887, 0.00290887, 0.00290887, 0.00290887, 0.00290887, 0.00403239, 0.00403239, 0.00403239, 0.00403239, 0.00403239, 0.00500995, 0.00500995, 0.00500995, 0.00500995, 0.00500995, 0.00257725, 0.00257725, 0.00257725, 0.00257725, 0.00257725, 0.00435782, 0.00435782, 0.00435782, 0.00435782, 0.00435782]], ['adult table from 20', {'groups': [[20, 5, 900], [25, 5, 1105], [30, 10, 3000], [40, 20, 100000]]}, [0.00180652, 0.00180652, 0.00180652, 0.00180652, 0.00180652, 0.00221983, 0.00221983, 0.00221983, 0.00221983, 0.00221983, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129]], ['closed without open group', {'groups': [[0, 1, 592], [1, 4, 103], [5, 5, 776], [10, 5, 936], [15, 5, 1068], [20, 5, 2381], [25, 5, 2847]]}, [0.00592, 0.0002576, 0.0002576, 0.0002576, 0.0002576, 0.00155684, 0.00155684, 0.00155684, 0.00155684, 0.00155684, 0.00187905, 0.00187905, 0.00187905, 0.00187905, 0.00187905, 0.00214518, 0.00214518, 0.00214518, 0.00214518, 0.00214518, 0.00480801, 0.00480801, 0.00480801, 0.00480801, 0.00480801, 0.00575997, 0.00575997, 0.00575997, 0.00575997, 0.00575997]], ['gap between groups', {'groups': [[0, 1, 700], [1, 4, 200], [6, 4, 150]]}, 'gap at 6'], ['overlapping groups', {'groups': [[10, 5, 400], [14, 5, 500], [19, 5, 600]]}, 'gap at 14'], ['unsorted groups', {'groups': [[15, 5, 600], [10, 5, 400], [20, 5, 800]]}, 'gap at 10'], ['open group early', {'groups': [[50, 5, 20000], [55, 10, 100000]]}, [0.0436475, 0.0436475, 0.0436475, 0.0436475, 0.0436475]]]]\nfor label, args, expected in fixtures[N-1]:\n    check(label, solve(args), expected)\nprint(json.dumps({\"observations\": observations, \"passed\": all(x[\"passed\"] for x in observations)}, ensure_ascii=False))\nraise SystemExit(0 if all(x[\"passed\"] for x in observations) else 1)\n"},"broken":{"sha256":"a473459a4ed6f9a60d8d6aadbbcaddec73e2cdab24a5da8026308f5f1b0b4029","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\nimport math\nfrom fractions import Fraction\nN = 1\nobservations = []\ndef solve(x):\n    out=[]; exp_start=0\n    for st,n,q in x['groups']:\n        if st!=exp_start: return 'gap at '+str(st)\n        exp_start=st+n\n        if q>=100000: break\n        p1=(1-q/100000)**(1/n)\n        out.extend([round(1-p1,8)]*n)\n    return out\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[['infant groups', {'groups': [[0, 1, 748], [1, 4, 209], [5, 5, 1651], [10, 5, 798], [15, 5, 931], [20, 5, 2632], [25, 5, 2702], [30, 20, 100000]]}, [0.00748, 0.00052291, 0.00052291, 0.00052291, 0.00052291, 0.00332402, 0.00332402, 0.00332402, 0.00332402, 0.00332402, 0.00160112, 0.00160112, 0.00160112, 0.00160112, 0.00160112, 0.00186897, 0.00186897, 0.00186897, 0.00186897, 0.00186897, 0.00532031, 0.00532031, 0.00532031, 0.00532031, 0.00532031, 0.00546337, 0.00546337, 0.00546337, 0.00546337, 0.00546337]], ['adult table from 20', {'groups': [[20, 5, 900], [25, 5, 1101], [30, 10, 3000], [40, 20, 100000]]}, [0.00180652, 0.00180652, 0.00180652, 0.00180652, 0.00180652, 0.00221176, 0.00221176, 0.00221176, 0.00221176, 0.00221176, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129]], ['closed without open group', {'groups': [[0, 1, 510], [1, 4, 262], [5, 5, 2631], [10, 5, 696], [15, 5, 976], [20, 5, 1597], [25, 5, 730]]}, [0.0051, 0.00065564, 0.00065564, 0.00065564, 0.00065564, 0.00531827, 0.00531827, 0.00531827, 0.00531827, 0.00531827, 0.00139589, 0.00139589, 0.00139589, 0.00139589, 0.00139589, 0.00195967, 0.00195967, 0.00195967, 0.00195967, 0.00195967, 0.0032146, 0.0032146, 0.0032146, 0.0032146, 0.0032146, 0.00146428, 0.00146428, 0.00146428, 0.00146428, 0.00146428]], ['gap between groups', {'groups': [[0, 1, 700], [1, 4, 200], [6, 4, 150]]}, 'gap at 6'], ['overlapping groups', {'groups': [[10, 5, 400], [14, 5, 500], [19, 5, 600]]}, 'gap at 14'], ['unsorted groups', {'groups': [[15, 5, 600], [10, 5, 400], [20, 5, 800]]}, 'gap at 10'], ['open group early', {'groups': [[50, 5, 20000], [55, 10, 100000]]}, [0.0436475, 0.0436475, 0.0436475, 0.0436475, 0.0436475]]], [['infant groups', {'groups': [[0, 1, 406], [1, 4, 137], [5, 5, 705], [10, 5, 2892], [15, 5, 1557], [20, 5, 589], [25, 5, 950], [30, 20, 100000]]}, [0.00406, 0.00034268, 0.00034268, 0.00034268, 0.00034268, 0.00141399, 0.00141399, 0.00141399, 0.00141399, 0.00141399, 0.00585209, 0.00585209, 0.00585209, 0.00585209, 0.00585209, 0.00313358, 0.00313358, 0.00313358, 0.00313358, 0.00313358, 0.00118079, 0.00118079, 0.00118079, 0.00118079, 0.00118079, 0.00190726, 0.00190726, 0.00190726, 0.00190726, 0.00190726]], ['adult table from 20', {'groups': [[20, 5, 900], [25, 5, 1102], [30, 10, 3000], [40, 20, 100000]]}, [0.00180652, 0.00180652, 0.00180652, 0.00180652, 0.00180652, 0.00221378, 0.00221378, 0.00221378, 0.00221378, 0.00221378, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129]], ['closed without open group', {'groups': [[0, 1, 431], [1, 4, 105], [5, 5, 1859], [10, 5, 1595], [15, 5, 2533], [20, 5, 876], [25, 5, 705]]}, [0.00431, 0.0002626, 0.0002626, 0.0002626, 0.0002626, 0.00374596, 0.00374596, 0.00374596, 0.00374596, 0.00374596, 0.00321055, 0.00321055, 0.00321055, 0.00321055, 0.00321055, 0.00511812, 0.00511812, 0.00511812, 0.00511812, 0.00511812, 0.00175817, 0.00175817, 0.00175817, 0.00175817, 0.00175817, 0.00141399, 0.00141399, 0.00141399, 0.00141399, 0.00141399]], ['gap between groups', {'groups': [[0, 1, 700], [1, 4, 200], [6, 4, 150]]}, 'gap at 6'], ['overlapping groups', {'groups': [[10, 5, 400], [14, 5, 500], [19, 5, 600]]}, 'gap at 14'], ['unsorted groups', {'groups': [[15, 5, 600], [10, 5, 400], [20, 5, 800]]}, 'gap at 10'], ['open group early', {'groups': [[50, 5, 20000], [55, 10, 100000]]}, [0.0436475, 0.0436475, 0.0436475, 0.0436475, 0.0436475]]], [['infant groups', {'groups': [[0, 1, 436], [1, 4, 270], [5, 5, 359], [10, 5, 2641], [15, 5, 346], [20, 5, 2991], [25, 5, 614], [30, 20, 100000]]}, [0.00436, 0.00067568, 0.00067568, 0.00067568, 0.00067568, 0.00071903, 0.00071903, 0.00071903, 0.00071903, 0.00071903, 0.0053387, 0.0053387, 0.0053387, 0.0053387, 0.0053387, 0.00069296, 0.00069296, 0.00069296, 0.00069296, 0.00069296, 0.00605488, 0.00605488, 0.00605488, 0.00605488, 0.00605488, 0.00123103, 0.00123103, 0.00123103, 0.00123103, 0.00123103]], ['adult table from 20', {'groups': [[20, 5, 900], [25, 5, 1103], [30, 10, 3000], [40, 20, 100000]]}, [0.00180652, 0.00180652, 0.00180652, 0.00180652, 0.00180652, 0.0022158, 0.0022158, 0.0022158, 0.0022158, 0.0022158, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129]], ['closed without open group', {'groups': [[0, 1, 622], [1, 4, 298], [5, 5, 1431], [10, 5, 1208], [15, 5, 861], [20, 5, 1701], [25, 5, 1427]]}, [0.00622, 0.00074583, 0.00074583, 0.00074583, 0.00074583, 0.00287852, 0.00287852, 0.00287852, 0.00287852, 0.00287852, 0.00242776, 0.00242776, 0.00242776, 0.00242776, 0.00242776, 0.00172796, 0.00172796, 0.00172796, 0.00172796, 0.00172796, 0.00342539, 0.00342539, 0.00342539, 0.00342539, 0.00342539, 0.00287043, 0.00287043, 0.00287043, 0.00287043, 0.00287043]], ['gap between groups', {'groups': [[0, 1, 700], [1, 4, 200], [6, 4, 150]]}, 'gap at 6'], ['overlapping groups', {'groups': [[10, 5, 400], [14, 5, 500], [19, 5, 600]]}, 'gap at 14'], ['unsorted groups', {'groups': [[15, 5, 600], [10, 5, 400], [20, 5, 800]]}, 'gap at 10'], ['open group early', {'groups': [[50, 5, 20000], [55, 10, 100000]]}, [0.0436475, 0.0436475, 0.0436475, 0.0436475, 0.0436475]]], [['infant groups', {'groups': [[0, 1, 479], [1, 4, 217], [5, 5, 321], [10, 5, 2470], [15, 5, 1331], [20, 5, 2469], [25, 5, 1105], [30, 20, 100000]]}, [0.00479, 0.00054294, 0.00054294, 0.00054294, 0.00054294, 0.00064283, 0.00064283, 0.00064283, 0.00064283, 0.00064283, 0.00498954, 0.00498954, 0.00498954, 0.00498954, 0.00498954, 0.00267629, 0.00267629, 0.00267629, 0.00267629, 0.00267629, 0.0049875, 0.0049875, 0.0049875, 0.0049875, 0.0049875, 0.00221983, 0.00221983, 0.00221983, 0.00221983, 0.00221983]], ['adult table from 20', {'groups': [[20, 5, 900], [25, 5, 1104], [30, 10, 3000], [40, 20, 100000]]}, [0.00180652, 0.00180652, 0.00180652, 0.00180652, 0.00180652, 0.00221782, 0.00221782, 0.00221782, 0.00221782, 0.00221782, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129]], ['closed without open group', {'groups': [[0, 1, 442], [1, 4, 179], [5, 5, 2837], [10, 5, 2146], [15, 5, 1469], [20, 5, 2654], [25, 5, 1744]]}, [0.00442, 0.0004478, 0.0004478, 0.0004478, 0.0004478, 0.00573951, 0.00573951, 0.00573951, 0.00573951, 0.00573951, 0.00432932, 0.00432932, 0.00432932, 0.00432932, 0.00432932, 0.00295542, 0.00295542, 0.00295542, 0.00295542, 0.00295542, 0.00536526, 0.00536526, 0.00536526, 0.00536526, 0.00536526, 0.00351259, 0.00351259, 0.00351259, 0.00351259, 0.00351259]], ['gap between groups', {'groups': [[0, 1, 700], [1, 4, 200], [6, 4, 150]]}, 'gap at 6'], ['overlapping groups', {'groups': [[10, 5, 400], [14, 5, 500], [19, 5, 600]]}, 'gap at 14'], ['unsorted groups', {'groups': [[15, 5, 600], [10, 5, 400], [20, 5, 800]]}, 'gap at 10'], ['open group early', {'groups': [[50, 5, 20000], [55, 10, 100000]]}, [0.0436475, 0.0436475, 0.0436475, 0.0436475, 0.0436475]]], [['infant groups', {'groups': [[0, 1, 877], [1, 4, 156], [5, 5, 1446], [10, 5, 2000], [15, 5, 2480], [20, 5, 1282], [25, 5, 2160], [30, 20, 100000]]}, [0.00877, 0.00039023, 0.00039023, 0.00039023, 0.00039023, 0.00290887, 0.00290887, 0.00290887, 0.00290887, 0.00290887, 0.00403239, 0.00403239, 0.00403239, 0.00403239, 0.00403239, 0.00500995, 0.00500995, 0.00500995, 0.00500995, 0.00500995, 0.00257725, 0.00257725, 0.00257725, 0.00257725, 0.00257725, 0.00435782, 0.00435782, 0.00435782, 0.00435782, 0.00435782]], ['adult table from 20', {'groups': [[20, 5, 900], [25, 5, 1105], [30, 10, 3000], [40, 20, 100000]]}, [0.00180652, 0.00180652, 0.00180652, 0.00180652, 0.00180652, 0.00221983, 0.00221983, 0.00221983, 0.00221983, 0.00221983, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129]], ['closed without open group', {'groups': [[0, 1, 592], [1, 4, 103], [5, 5, 776], [10, 5, 936], [15, 5, 1068], [20, 5, 2381], [25, 5, 2847]]}, [0.00592, 0.0002576, 0.0002576, 0.0002576, 0.0002576, 0.00155684, 0.00155684, 0.00155684, 0.00155684, 0.00155684, 0.00187905, 0.00187905, 0.00187905, 0.00187905, 0.00187905, 0.00214518, 0.00214518, 0.00214518, 0.00214518, 0.00214518, 0.00480801, 0.00480801, 0.00480801, 0.00480801, 0.00480801, 0.00575997, 0.00575997, 0.00575997, 0.00575997, 0.00575997]], ['gap between groups', {'groups': [[0, 1, 700], [1, 4, 200], [6, 4, 150]]}, 'gap at 6'], ['overlapping groups', {'groups': [[10, 5, 400], [14, 5, 500], [19, 5, 600]]}, 'gap at 14'], ['unsorted groups', {'groups': [[15, 5, 600], [10, 5, 400], [20, 5, 800]]}, 'gap at 10'], ['open group early', {'groups': [[50, 5, 20000], [55, 10, 100000]]}, [0.0436475, 0.0436475, 0.0436475, 0.0436475, 0.0436475]]]]\nfor label, args, expected in fixtures[N-1]:\n    check(label, solve(args), expected)\nprint(json.dumps({\"observations\": observations, \"passed\": all(x[\"passed\"] for x in observations)}, ensure_ascii=False))\nraise SystemExit(0 if all(x[\"passed\"] for x in observations) else 1)\n"},"fixed":{"sha256":"e096640c0a3bf814b775eb217b383d823076371c86f0f7957af1aa53b810f9f7","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\nimport math\nfrom fractions import Fraction\nN = 1\nobservations = []\ndef solve(x):\n    out=[]; exp_start=x['groups'][0][0]\n    for st,n,q in x['groups']:\n        if st!=exp_start: return 'gap at '+str(st)\n        exp_start=st+n\n        if q>=100000: break\n        p1=(1-q/100000)**(1/n)\n        out.extend([round(1-p1,8)]*n)\n    return out\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[['infant groups', {'groups': [[0, 1, 748], [1, 4, 209], [5, 5, 1651], [10, 5, 798], [15, 5, 931], [20, 5, 2632], [25, 5, 2702], [30, 20, 100000]]}, [0.00748, 0.00052291, 0.00052291, 0.00052291, 0.00052291, 0.00332402, 0.00332402, 0.00332402, 0.00332402, 0.00332402, 0.00160112, 0.00160112, 0.00160112, 0.00160112, 0.00160112, 0.00186897, 0.00186897, 0.00186897, 0.00186897, 0.00186897, 0.00532031, 0.00532031, 0.00532031, 0.00532031, 0.00532031, 0.00546337, 0.00546337, 0.00546337, 0.00546337, 0.00546337]], ['adult table from 20', {'groups': [[20, 5, 900], [25, 5, 1101], [30, 10, 3000], [40, 20, 100000]]}, [0.00180652, 0.00180652, 0.00180652, 0.00180652, 0.00180652, 0.00221176, 0.00221176, 0.00221176, 0.00221176, 0.00221176, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129]], ['closed without open group', {'groups': [[0, 1, 510], [1, 4, 262], [5, 5, 2631], [10, 5, 696], [15, 5, 976], [20, 5, 1597], [25, 5, 730]]}, [0.0051, 0.00065564, 0.00065564, 0.00065564, 0.00065564, 0.00531827, 0.00531827, 0.00531827, 0.00531827, 0.00531827, 0.00139589, 0.00139589, 0.00139589, 0.00139589, 0.00139589, 0.00195967, 0.00195967, 0.00195967, 0.00195967, 0.00195967, 0.0032146, 0.0032146, 0.0032146, 0.0032146, 0.0032146, 0.00146428, 0.00146428, 0.00146428, 0.00146428, 0.00146428]], ['gap between groups', {'groups': [[0, 1, 700], [1, 4, 200], [6, 4, 150]]}, 'gap at 6'], ['overlapping groups', {'groups': [[10, 5, 400], [14, 5, 500], [19, 5, 600]]}, 'gap at 14'], ['unsorted groups', {'groups': [[15, 5, 600], [10, 5, 400], [20, 5, 800]]}, 'gap at 10'], ['open group early', {'groups': [[50, 5, 20000], [55, 10, 100000]]}, [0.0436475, 0.0436475, 0.0436475, 0.0436475, 0.0436475]]], [['infant groups', {'groups': [[0, 1, 406], [1, 4, 137], [5, 5, 705], [10, 5, 2892], [15, 5, 1557], [20, 5, 589], [25, 5, 950], [30, 20, 100000]]}, [0.00406, 0.00034268, 0.00034268, 0.00034268, 0.00034268, 0.00141399, 0.00141399, 0.00141399, 0.00141399, 0.00141399, 0.00585209, 0.00585209, 0.00585209, 0.00585209, 0.00585209, 0.00313358, 0.00313358, 0.00313358, 0.00313358, 0.00313358, 0.00118079, 0.00118079, 0.00118079, 0.00118079, 0.00118079, 0.00190726, 0.00190726, 0.00190726, 0.00190726, 0.00190726]], ['adult table from 20', {'groups': [[20, 5, 900], [25, 5, 1102], [30, 10, 3000], [40, 20, 100000]]}, [0.00180652, 0.00180652, 0.00180652, 0.00180652, 0.00180652, 0.00221378, 0.00221378, 0.00221378, 0.00221378, 0.00221378, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129]], ['closed without open group', {'groups': [[0, 1, 431], [1, 4, 105], [5, 5, 1859], [10, 5, 1595], [15, 5, 2533], [20, 5, 876], [25, 5, 705]]}, [0.00431, 0.0002626, 0.0002626, 0.0002626, 0.0002626, 0.00374596, 0.00374596, 0.00374596, 0.00374596, 0.00374596, 0.00321055, 0.00321055, 0.00321055, 0.00321055, 0.00321055, 0.00511812, 0.00511812, 0.00511812, 0.00511812, 0.00511812, 0.00175817, 0.00175817, 0.00175817, 0.00175817, 0.00175817, 0.00141399, 0.00141399, 0.00141399, 0.00141399, 0.00141399]], ['gap between groups', {'groups': [[0, 1, 700], [1, 4, 200], [6, 4, 150]]}, 'gap at 6'], ['overlapping groups', {'groups': [[10, 5, 400], [14, 5, 500], [19, 5, 600]]}, 'gap at 14'], ['unsorted groups', {'groups': [[15, 5, 600], [10, 5, 400], [20, 5, 800]]}, 'gap at 10'], ['open group early', {'groups': [[50, 5, 20000], [55, 10, 100000]]}, [0.0436475, 0.0436475, 0.0436475, 0.0436475, 0.0436475]]], [['infant groups', {'groups': [[0, 1, 436], [1, 4, 270], [5, 5, 359], [10, 5, 2641], [15, 5, 346], [20, 5, 2991], [25, 5, 614], [30, 20, 100000]]}, [0.00436, 0.00067568, 0.00067568, 0.00067568, 0.00067568, 0.00071903, 0.00071903, 0.00071903, 0.00071903, 0.00071903, 0.0053387, 0.0053387, 0.0053387, 0.0053387, 0.0053387, 0.00069296, 0.00069296, 0.00069296, 0.00069296, 0.00069296, 0.00605488, 0.00605488, 0.00605488, 0.00605488, 0.00605488, 0.00123103, 0.00123103, 0.00123103, 0.00123103, 0.00123103]], ['adult table from 20', {'groups': [[20, 5, 900], [25, 5, 1103], [30, 10, 3000], [40, 20, 100000]]}, [0.00180652, 0.00180652, 0.00180652, 0.00180652, 0.00180652, 0.0022158, 0.0022158, 0.0022158, 0.0022158, 0.0022158, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129]], ['closed without open group', {'groups': [[0, 1, 622], [1, 4, 298], [5, 5, 1431], [10, 5, 1208], [15, 5, 861], [20, 5, 1701], [25, 5, 1427]]}, [0.00622, 0.00074583, 0.00074583, 0.00074583, 0.00074583, 0.00287852, 0.00287852, 0.00287852, 0.00287852, 0.00287852, 0.00242776, 0.00242776, 0.00242776, 0.00242776, 0.00242776, 0.00172796, 0.00172796, 0.00172796, 0.00172796, 0.00172796, 0.00342539, 0.00342539, 0.00342539, 0.00342539, 0.00342539, 0.00287043, 0.00287043, 0.00287043, 0.00287043, 0.00287043]], ['gap between groups', {'groups': [[0, 1, 700], [1, 4, 200], [6, 4, 150]]}, 'gap at 6'], ['overlapping groups', {'groups': [[10, 5, 400], [14, 5, 500], [19, 5, 600]]}, 'gap at 14'], ['unsorted groups', {'groups': [[15, 5, 600], [10, 5, 400], [20, 5, 800]]}, 'gap at 10'], ['open group early', {'groups': [[50, 5, 20000], [55, 10, 100000]]}, [0.0436475, 0.0436475, 0.0436475, 0.0436475, 0.0436475]]], [['infant groups', {'groups': [[0, 1, 479], [1, 4, 217], [5, 5, 321], [10, 5, 2470], [15, 5, 1331], [20, 5, 2469], [25, 5, 1105], [30, 20, 100000]]}, [0.00479, 0.00054294, 0.00054294, 0.00054294, 0.00054294, 0.00064283, 0.00064283, 0.00064283, 0.00064283, 0.00064283, 0.00498954, 0.00498954, 0.00498954, 0.00498954, 0.00498954, 0.00267629, 0.00267629, 0.00267629, 0.00267629, 0.00267629, 0.0049875, 0.0049875, 0.0049875, 0.0049875, 0.0049875, 0.00221983, 0.00221983, 0.00221983, 0.00221983, 0.00221983]], ['adult table from 20', {'groups': [[20, 5, 900], [25, 5, 1104], [30, 10, 3000], [40, 20, 100000]]}, [0.00180652, 0.00180652, 0.00180652, 0.00180652, 0.00180652, 0.00221782, 0.00221782, 0.00221782, 0.00221782, 0.00221782, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129]], ['closed without open group', {'groups': [[0, 1, 442], [1, 4, 179], [5, 5, 2837], [10, 5, 2146], [15, 5, 1469], [20, 5, 2654], [25, 5, 1744]]}, [0.00442, 0.0004478, 0.0004478, 0.0004478, 0.0004478, 0.00573951, 0.00573951, 0.00573951, 0.00573951, 0.00573951, 0.00432932, 0.00432932, 0.00432932, 0.00432932, 0.00432932, 0.00295542, 0.00295542, 0.00295542, 0.00295542, 0.00295542, 0.00536526, 0.00536526, 0.00536526, 0.00536526, 0.00536526, 0.00351259, 0.00351259, 0.00351259, 0.00351259, 0.00351259]], ['gap between groups', {'groups': [[0, 1, 700], [1, 4, 200], [6, 4, 150]]}, 'gap at 6'], ['overlapping groups', {'groups': [[10, 5, 400], [14, 5, 500], [19, 5, 600]]}, 'gap at 14'], ['unsorted groups', {'groups': [[15, 5, 600], [10, 5, 400], [20, 5, 800]]}, 'gap at 10'], ['open group early', {'groups': [[50, 5, 20000], [55, 10, 100000]]}, [0.0436475, 0.0436475, 0.0436475, 0.0436475, 0.0436475]]], [['infant groups', {'groups': [[0, 1, 877], [1, 4, 156], [5, 5, 1446], [10, 5, 2000], [15, 5, 2480], [20, 5, 1282], [25, 5, 2160], [30, 20, 100000]]}, [0.00877, 0.00039023, 0.00039023, 0.00039023, 0.00039023, 0.00290887, 0.00290887, 0.00290887, 0.00290887, 0.00290887, 0.00403239, 0.00403239, 0.00403239, 0.00403239, 0.00403239, 0.00500995, 0.00500995, 0.00500995, 0.00500995, 0.00500995, 0.00257725, 0.00257725, 0.00257725, 0.00257725, 0.00257725, 0.00435782, 0.00435782, 0.00435782, 0.00435782, 0.00435782]], ['adult table from 20', {'groups': [[20, 5, 900], [25, 5, 1105], [30, 10, 3000], [40, 20, 100000]]}, [0.00180652, 0.00180652, 0.00180652, 0.00180652, 0.00180652, 0.00221983, 0.00221983, 0.00221983, 0.00221983, 0.00221983, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129, 0.00304129]], ['closed without open group', {'groups': [[0, 1, 592], [1, 4, 103], [5, 5, 776], [10, 5, 936], [15, 5, 1068], [20, 5, 2381], [25, 5, 2847]]}, [0.00592, 0.0002576, 0.0002576, 0.0002576, 0.0002576, 0.00155684, 0.00155684, 0.00155684, 0.00155684, 0.00155684, 0.00187905, 0.00187905, 0.00187905, 0.00187905, 0.00187905, 0.00214518, 0.00214518, 0.00214518, 0.00214518, 0.00214518, 0.00480801, 0.00480801, 0.00480801, 0.00480801, 0.00480801, 0.00575997, 0.00575997, 0.00575997, 0.00575997, 0.00575997]], ['gap between groups', {'groups': [[0, 1, 700], [1, 4, 200], [6, 4, 150]]}, 'gap at 6'], ['overlapping groups', {'groups': [[10, 5, 400], [14, 5, 500], [19, 5, 600]]}, 'gap at 14'], ['unsorted groups', {'groups': [[15, 5, 600], [10, 5, 400], [20, 5, 800]]}, 'gap at 10'], ['open group early', {'groups': [[50, 5, 20000], [55, 10, 100000]]}, [0.0436475, 0.0436475, 0.0436475, 0.0436475, 0.0436475]]]]\nfor label, args, expected in fixtures[N-1]:\n    check(label, solve(args), expected)\nprint(json.dumps({\"observations\": observations, \"passed\": all(x[\"passed\"] for x in observations)}, ensure_ascii=False))\nraise SystemExit(0 if all(x[\"passed\"] for x in observations) else 1)\n"}},"limitations":"A deterministic bounded teaching model of a stipulated toy actuarial contract. Rates are small synthetic tables, exact rationals are used where practical and floats are rounded at the output; it makes no claim of conformance with any published table, standard of practice or regulation. This reproducer isolates one failure mechanism. Results cover the supplied fixtures. Variants within a family share a test contract and should remain grouped when constructing evaluation splits. Related mechanisms with a shared evaluation_group must also remain together; these controlled models are not independent production incidents.","method":"Deterministic executable model with adversarial boundary fixtures.","provenance":{"created_by":"Failure Map","dependencies":"Python standard library","family":"w2-actuarial_life_tables-abridged-to-single-table-start","generated_at":"2026-09-29T14:47:16.812697+00:00","license":"CC0-1.0","python":"3.12.14","seed":1,"split":"open-access"},"relevance":"Life-table arithmetic compounds across ages, so one misplaced index or assumption shifts every downstream value.","repair":"Start from the first group's age.","root_cause":"Contiguity is checked from age zero.","sha256":"a8c17fad52918aae84e74a077e620e27838304010dca030d7ad2407d8d8687da","title":"Abridged to single-year mortality: Tables are assumed to start at age zero · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verification":{"attempt":{"elapsed_ms":42.549,"exit_code":1,"observations":[{"actual":[0.00748,0.00052291,0.00052291,0.00052291,0.00052291,0.00332402,0.00332402,0.00332402,0.00332402,0.00332402,0.00160112,0.00160112,0.00160112,0.00160112,0.00160112,0.00186897,0.00186897,0.00186897,0.00186897,0.00186897,0.00532031,0.00532031,0.00532031,0.00532031,0.00532031,0.00546337,0.00546337,0.00546337,0.00546337,0.00546337],"check":"infant groups","expected":[0.00748,0.00052291,0.00052291,0.00052291,0.00052291,0.00332402,0.00332402,0.00332402,0.00332402,0.00332402,0.00160112,0.00160112,0.00160112,0.00160112,0.00160112,0.00186897,0.00186897,0.00186897,0.00186897,0.00186897,0.00532031,0.00532031,0.00532031,0.00532031,0.00532031,0.00546337,0.00546337,0.00546337,0.00546337,0.00546337],"passed":true},{"actual":[0.00180652,0.00180652,0.00180652,0.00180652,0.00180652,0.00221176,0.00221176,0.00221176,0.00221176,0.00221176,0.00304129,0.00304129,0.00304129,0.00304129,0.00304129,0.00304129,0.00304129,0.00304129,0.00304129,0.00304129],"check":"adult table from 20","expected":[0.00180652,0.00180652,0.00180652,0.00180652,0.00180652,0.00221176,0.00221176,0.00221176,0.00221176,0.00221176,0.00304129,0.00304129,0.00304129,0.00304129,0.00304129,0.00304129,0.00304129,0.00304129,0.00304129,0.00304129],"passed":true},{"actual":[0.0051,0.00065564,0.00065564,0.00065564,0.00065564,0.00531827,0.00531827,0.00531827,0.00531827,0.00531827,0.00139589,0.00139589,0.00139589,0.00139589,0.00139589,0.00195967,0.00195967,0.00195967,0.00195967,0.00195967,0.0032146,0.0032146,0.0032146,0.0032146,0.0032146,0.00146428,0.00146428,0.00146428,0.00146428,0.00146428],"check":"closed without open group","expected":[0.0051,0.00065564,0.00065564,0.00065564,0.00065564,0.00531827,0.00531827,0.00531827,0.00531827,0.00531827,0.00139589,0.00139589,0.00139589,0.00139589,0.00139589,0.00195967,0.00195967,0.00195967,0.00195967,0.00195967,0.0032146,0.0032146,0.0032146,0.0032146,0.0032146,0.00146428,0.00146428,0.00146428,0.00146428,0.00146428],"passed":true},{"actual":"gap at 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