{"abstract":"The exact rational nullspace basis result violates the stated contract at pivot coordinate placement.","category":"Numerics","checks":8,"contract":"Input nonempty rectangular integer matrix; return canonical nullspace basis, one vector per free column increasing, with that free coordinate one and other free coordinates zero.","evaluation_group":"s3-numerics-rational-nullspace-basis","failed_approach":"The partial repair c still violates the pivot coordinate placement invariant.","family":"s3-numerics-rational-nullspace-basis-pivot-coordinate-placement","id":"FA-15406","implementations":{"attempt":{"sha256":"b308068c1e8e5e4e4a8372f1381795af1d50ded71ed0d1b0034dfa0b556f4562","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\nimport math\nimport itertools\nfrom fractions import Fraction\nN = 1\nobservations = []\ndef solve(x):\n    a=[list(map(Fraction,r)) for r in x];rows=len(a);cols=len(a[0]);r=0;pivots=[]\n    for c in range(cols):\n     if r==rows:break\n     pivot=next((i for i in range(r,rows) if a[i][c]!=0),None)\n     if pivot is None:continue\n     a[r],a[pivot]=a[pivot],a[r];d=a[r][c];a[r]=[v/d for v in a[r]]\n     for i in range(rows):\n      if i!=r:\n       v=a[i][c];a[i]=[a[i][j]-v*a[r][j] for j in range(cols)]\n     pivots.append(c);r+=1\n    free=[c for c in range(cols) if c not in pivots]\n    out=[]\n    for c in free:\n     v=[Fraction(0)]*cols\n     v[c]=Fraction(1)\n     for i,p in enumerate(pivots):v[c]=-a[i][c]\n     out.append([[z.numerator,z.denominator] for z in v])\n    return out\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[([[0, 1]], [[[1, 1], [0, 1]]]), ([[2, -1]], [[[1, 2], [1, 1]]]), ([[0, 0]], [[[1, 1], [0, 1]], [[0, 1], [1, 1]]]), ([[0, 2, 0, -1], [2, -1, -1, 2], [1, -2, 0, -2]], [[[3, 1], [1, 2], [15, 2], [1, 1]]]), ([[1, 1]], [[[-1, 1], [1, 1]]]), ([[0, 0]], [[[1, 1], [0, 1]], [[0, 1], [1, 1]]]), ([[-2, 0]], [[[0, 1], [1, 1]]]), ([[2, 1]], [[[-1, 2], [1, 1]]])], [([[0, 2]], [[[1, 1], [0, 1]]]), ([[0, 1]], [[[1, 1], [0, 1]]]), ([[0, 0]], [[[1, 1], [0, 1]], [[0, 1], [1, 1]]]), ([[0, 2, 0, -1], [2, -1, -1, 2], [1, -2, 0, -2]], [[[3, 1], [1, 2], [15, 2], [1, 1]]]), ([[0, 1]], [[[1, 1], [0, 1]]]), ([[-2, -1]], [[[-1, 2], [1, 1]]]), ([[-2, -1]], [[[-1, 2], [1, 1]]]), ([[0, -1]], [[[1, 1], [0, 1]]])], [([[0, 1]], [[[1, 1], [0, 1]]]), ([[-2, -1]], [[[-1, 2], [1, 1]]]), ([[0, 0]], [[[1, 1], [0, 1]], [[0, 1], [1, 1]]]), ([[0, 2, 0, -1], [2, -1, -1, 2], [1, -2, 0, -2]], [[[3, 1], [1, 2], [15, 2], [1, 1]]]), ([[2, 2]], [[[-1, 1], [1, 1]]]), ([[2, -1]], [[[1, 2], [1, 1]]]), ([[0, 0]], [[[1, 1], [0, 1]], [[0, 1], [1, 1]]]), ([[1, -1]], [[[1, 1], [1, 1]]])], [([[0, 1]], [[[1, 1], [0, 1]]]), ([[1, -1]], [[[1, 1], [1, 1]]]), ([[0, 0]], [[[1, 1], [0, 1]], [[0, 1], [1, 1]]]), ([[0, 2, 0, -1], [2, -1, -1, 2], [1, -2, 0, -2]], [[[3, 1], [1, 2], [15, 2], [1, 1]]]), ([[-1, 1], [-1, 0]], []), ([[0, 0], [-1, 2]], [[[2, 1], [1, 1]]]), ([[-2, 1], [1, -2]], []), ([[-1, 0], [0, 0]], [[[0, 1], [1, 1]]])], [([[0, -1]], [[[1, 1], [0, 1]]]), ([[0, 2]], [[[1, 1], [0, 1]]]), ([[0, 0]], [[[1, 1], [0, 1]], [[0, 1], [1, 1]]]), ([[0, 2, 0, -1], [2, -1, -1, 2], [1, -2, 0, -2]], [[[3, 1], [1, 2], [15, 2], [1, 1]]]), ([[0, -2], [2, 0]], []), ([[-1, -2], [0, 1]], []), ([[-2, 0], [-2, 0]], [[[0, 1], [1, 1]]]), ([[0, 0], [0, -1]], [[[1, 1], [0, 1]]])]]\nfor i, (args, expected) in enumerate(fixtures[N-1]):\n    check(\"explicit oracle %d\" % i, 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":"c5e7dc7fabfaf913bc91c04c59bbb23da3f692f699798517755dc70c9ae66024","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\nimport math\nimport itertools\nfrom fractions import Fraction\nN = 1\nobservations = []\ndef solve(x):\n    a=[list(map(Fraction,r)) for r in x];rows=len(a);cols=len(a[0]);r=0;pivots=[]\n    for c in range(cols):\n     if r==rows:break\n     pivot=next((i for i in range(r,rows) if a[i][c]!=0),None)\n     if pivot is None:continue\n     a[r],a[pivot]=a[pivot],a[r];d=a[r][c];a[r]=[v/d for v in a[r]]\n     for i in range(rows):\n      if i!=r:\n       v=a[i][c];a[i]=[a[i][j]-v*a[r][j] for j in range(cols)]\n     pivots.append(c);r+=1\n    free=[c for c in range(cols) if c not in pivots]\n    out=[]\n    for c in free:\n     v=[Fraction(0)]*cols\n     v[c]=Fraction(1)\n     for i,p in enumerate(pivots):v[i]=-a[i][c]\n     out.append([[z.numerator,z.denominator] for z in v])\n    return out\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[([[0, 1]], [[[1, 1], [0, 1]]]), ([[2, -1]], [[[1, 2], [1, 1]]]), ([[0, 0]], [[[1, 1], [0, 1]], [[0, 1], [1, 1]]]), ([[0, 2, 0, -1], [2, -1, -1, 2], [1, -2, 0, -2]], [[[3, 1], [1, 2], [15, 2], [1, 1]]]), ([[1, 1]], [[[-1, 1], [1, 1]]]), ([[0, 0]], [[[1, 1], [0, 1]], [[0, 1], [1, 1]]]), ([[-2, 0]], [[[0, 1], [1, 1]]]), ([[2, 1]], [[[-1, 2], [1, 1]]])], [([[0, 2]], [[[1, 1], [0, 1]]]), ([[0, 1]], [[[1, 1], [0, 1]]]), ([[0, 0]], [[[1, 1], [0, 1]], [[0, 1], [1, 1]]]), ([[0, 2, 0, -1], [2, -1, -1, 2], [1, -2, 0, -2]], [[[3, 1], [1, 2], [15, 2], [1, 1]]]), ([[0, 1]], [[[1, 1], [0, 1]]]), ([[-2, -1]], [[[-1, 2], [1, 1]]]), ([[-2, -1]], [[[-1, 2], [1, 1]]]), ([[0, -1]], [[[1, 1], [0, 1]]])], [([[0, 1]], [[[1, 1], [0, 1]]]), ([[-2, -1]], [[[-1, 2], [1, 1]]]), ([[0, 0]], [[[1, 1], [0, 1]], [[0, 1], [1, 1]]]), ([[0, 2, 0, -1], [2, -1, -1, 2], [1, -2, 0, -2]], [[[3, 1], [1, 2], [15, 2], [1, 1]]]), ([[2, 2]], [[[-1, 1], [1, 1]]]), ([[2, -1]], [[[1, 2], [1, 1]]]), ([[0, 0]], [[[1, 1], [0, 1]], [[0, 1], [1, 1]]]), ([[1, -1]], [[[1, 1], [1, 1]]])], [([[0, 1]], [[[1, 1], [0, 1]]]), ([[1, -1]], [[[1, 1], [1, 1]]]), ([[0, 0]], [[[1, 1], [0, 1]], [[0, 1], [1, 1]]]), ([[0, 2, 0, -1], [2, -1, -1, 2], [1, -2, 0, -2]], [[[3, 1], [1, 2], [15, 2], [1, 1]]]), ([[-1, 1], [-1, 0]], []), ([[0, 0], [-1, 2]], [[[2, 1], [1, 1]]]), ([[-2, 1], [1, -2]], []), ([[-1, 0], [0, 0]], [[[0, 1], [1, 1]]])], [([[0, -1]], [[[1, 1], [0, 1]]]), ([[0, 2]], [[[1, 1], [0, 1]]]), ([[0, 0]], [[[1, 1], [0, 1]], [[0, 1], [1, 1]]]), ([[0, 2, 0, -1], [2, -1, -1, 2], [1, -2, 0, -2]], [[[3, 1], [1, 2], [15, 2], [1, 1]]]), ([[0, -2], [2, 0]], []), ([[-1, -2], [0, 1]], []), ([[-2, 0], [-2, 0]], [[[0, 1], [1, 1]]]), ([[0, 0], [0, -1]], [[[1, 1], [0, 1]]])]]\nfor i, (args, expected) in enumerate(fixtures[N-1]):\n    check(\"explicit oracle %d\" % i, 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":"cb2f25f4978b235cef9bfe3dc2dff71ddb4074321f1bc961e430e5becb56a9f1","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\nimport math\nimport itertools\nfrom fractions import Fraction\nN = 1\nobservations = []\ndef solve(x):\n    a=[list(map(Fraction,r)) for r in x];rows=len(a);cols=len(a[0]);r=0;pivots=[]\n    for c in range(cols):\n     if r==rows:break\n     pivot=next((i for i in range(r,rows) if a[i][c]!=0),None)\n     if pivot is None:continue\n     a[r],a[pivot]=a[pivot],a[r];d=a[r][c];a[r]=[v/d for v in a[r]]\n     for i in range(rows):\n      if i!=r:\n       v=a[i][c];a[i]=[a[i][j]-v*a[r][j] for j in range(cols)]\n     pivots.append(c);r+=1\n    free=[c for c in range(cols) if c not in pivots]\n    out=[]\n    for c in free:\n     v=[Fraction(0)]*cols\n     v[c]=Fraction(1)\n     for i,p in enumerate(pivots):v[p]=-a[i][c]\n     out.append([[z.numerator,z.denominator] for z in v])\n    return out\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[([[0, 1]], [[[1, 1], [0, 1]]]), ([[2, -1]], [[[1, 2], [1, 1]]]), ([[0, 0]], [[[1, 1], [0, 1]], [[0, 1], [1, 1]]]), ([[0, 2, 0, -1], [2, -1, -1, 2], [1, -2, 0, -2]], [[[3, 1], [1, 2], [15, 2], [1, 1]]]), ([[1, 1]], [[[-1, 1], [1, 1]]]), ([[0, 0]], [[[1, 1], [0, 1]], [[0, 1], [1, 1]]]), ([[-2, 0]], [[[0, 1], [1, 1]]]), ([[2, 1]], [[[-1, 2], [1, 1]]])], [([[0, 2]], [[[1, 1], [0, 1]]]), ([[0, 1]], [[[1, 1], [0, 1]]]), ([[0, 0]], [[[1, 1], [0, 1]], [[0, 1], [1, 1]]]), ([[0, 2, 0, -1], [2, -1, -1, 2], [1, -2, 0, -2]], [[[3, 1], [1, 2], [15, 2], [1, 1]]]), ([[0, 1]], [[[1, 1], [0, 1]]]), ([[-2, -1]], [[[-1, 2], [1, 1]]]), ([[-2, -1]], [[[-1, 2], [1, 1]]]), ([[0, -1]], [[[1, 1], [0, 1]]])], [([[0, 1]], [[[1, 1], [0, 1]]]), ([[-2, -1]], [[[-1, 2], [1, 1]]]), ([[0, 0]], [[[1, 1], [0, 1]], [[0, 1], [1, 1]]]), ([[0, 2, 0, -1], [2, -1, -1, 2], [1, -2, 0, -2]], [[[3, 1], [1, 2], [15, 2], [1, 1]]]), ([[2, 2]], [[[-1, 1], [1, 1]]]), ([[2, -1]], [[[1, 2], [1, 1]]]), ([[0, 0]], [[[1, 1], [0, 1]], [[0, 1], [1, 1]]]), ([[1, -1]], [[[1, 1], [1, 1]]])], [([[0, 1]], [[[1, 1], [0, 1]]]), ([[1, -1]], [[[1, 1], [1, 1]]]), ([[0, 0]], [[[1, 1], [0, 1]], [[0, 1], [1, 1]]]), ([[0, 2, 0, -1], [2, -1, -1, 2], [1, -2, 0, -2]], [[[3, 1], [1, 2], [15, 2], [1, 1]]]), ([[-1, 1], [-1, 0]], []), ([[0, 0], [-1, 2]], [[[2, 1], [1, 1]]]), ([[-2, 1], [1, -2]], []), ([[-1, 0], [0, 0]], [[[0, 1], [1, 1]]])], [([[0, -1]], [[[1, 1], [0, 1]]]), ([[0, 2]], [[[1, 1], [0, 1]]]), ([[0, 0]], [[[1, 1], [0, 1]], [[0, 1], [1, 1]]]), ([[0, 2, 0, -1], [2, -1, -1, 2], [1, -2, 0, -2]], [[[3, 1], [1, 2], [15, 2], [1, 1]]]), ([[0, -2], [2, 0]], []), ([[-1, -2], [0, 1]], []), ([[-2, 0], [-2, 0]], [[[0, 1], [1, 1]]]), ([[0, 0], [0, -1]], [[[1, 1], [0, 1]]])]]\nfor i, (args, expected) in enumerate(fixtures[N-1]):\n    check(\"explicit oracle %d\" % i, 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. Inputs are restricted to the explicit contract; this is not a production algebra library. 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":"s3-numerics-rational-nullspace-basis-pivot-coordinate-placement","generated_at":"2026-09-29T14:39:26.640573+00:00","license":"CC0-1.0","python":"3.12.14","seed":1,"split":"open-access"},"relevance":"Exact discrete arithmetic with observable algorithmic state; no floating point approximation is used.","repair":"Use p at the pivot coordinate placement step.","root_cause":"The pivot coordinate placement step uses i instead of p.","sha256":"7efb0bb740563ce70c6bfdd90520bb68fe66fb0e744b8202aeae9ae0bb606319","title":"Rational nullspace basis: pivot coordinate placement · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verification":{"attempt":{"elapsed_ms":42.398,"exit_code":1,"observations":[{"actual":[[[0,1],[0,1]]],"check":"explicit oracle 0","expected":[[[1,1],[0,1]]],"passed":false},{"actual":[[[0,1],[1,2]]],"check":"explicit oracle 1","expected":[[[1,2],[1,1]]],"passed":false},{"actual":[[[1,1],[0,1]],[[0,1],[1,1]]],"check":"explicit oracle 2","expected":[[[1,1],[0,1]],[[0,1],[1,1]]],"passed":true},{"actual":[[[0,1],[0,1],[0,1],[15,2]]],"check":"explicit oracle 3","expected":[[[3,1],[1,2],[15,2],[1,1]]],"passed":false},{"actual":[[[0,1],[-1,1]]],"check":"explicit oracle 4","expected":[[[-1,1],[1,1]]],"passed":false},{"actual":[[[1,1],[0,1]],[[0,1],[1,1]]],"check":"explicit oracle 5","expected":[[[1,1],[0,1]],[[0,1],[1,1]]],"passed":true},{"actual":[[[0,1],[0,1]]],"check":"explicit oracle 6","expected":[[[0,1],[1,1]]],"passed":false},{"actual":[[[0,1],[-1,2]]],"check":"explicit oracle 7","expected":[[[-1,2],[1,1]]],"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"explicit oracle 0\", \"actual\": [[[0, 1], [0, 1]]], \"expected\": [[[1, 1], [0, 1]]], \"passed\": false}, {\"check\": \"explicit oracle 1\", \"actual\": [[[0, 1], [1, 2]]], \"expected\": [[[1, 2], [1, 1]]], \"passed\": false}, {\"check\": \"explicit oracle 2\", \"actual\": [[[1, 1], [0, 1]], [[0, 1], [1, 1]]], \"expected\": [[[1, 1], [0, 1]], [[0, 1], [1, 1]]], \"passed\": true}, {\"check\": \"explicit oracle 3\", \"actual\": [[[0, 1], [0, 1], [0, 1], [15, 2]]], \"expected\": [[[3, 1], [1, 2], [15, 2], [1, 1]]], \"passed\": false}, {\"check\": \"explicit oracle 4\", \"actual\": [[[0, 1], [-1, 1]]], \"expected\": [[[-1, 1], [1, 1]]], \"passed\": false}, {\"check\": \"explicit oracle 5\", \"actual\": [[[1, 1], [0, 1]], [[0, 1], [1, 1]]], \"expected\": [[[1, 1], [0, 1]], [[0, 1], [1, 1]]], \"passed\": true}, {\"check\": \"explicit oracle 6\", \"actual\": [[[0, 1], [0, 1]]], \"expected\": [[[0, 1], [1, 1]]], \"passed\": false}, {\"check\": \"explicit oracle 7\", \"actual\": [[[0, 1], [-1, 2]]], \"expected\": [[[-1, 2], [1, 1]]], \"passed\": false}], \"passed\": false}\n"},"broken":{"elapsed_ms":43.719,"exit_code":1,"observations":[{"actual":[[[0,1],[0,1]]],"check":"explicit oracle 0","expected":[[[1,1],[0,1]]],"passed":false},{"actual":[[[1,2],[1,1]]],"check":"explicit oracle 1","expected":[[[1,2],[1,1]]],"passed":true},{"actual":[[[1,1],[0,1]],[[0,1],[1,1]]],"check":"explicit oracle 2","expected":[[[1,1],[0,1]],[[0,1],[1,1]]],"passed":true},{"actual":[[[3,1],[1,2],[15,2],[1,1]]],"check":"explicit oracle 3","expected":[[[3,1],[1,2],[15,2],[1,1]]],"passed":true},{"actual":[[[-1,1],[1,1]]],"check":"explicit oracle 4","expected":[[[-1,1],[1,1]]],"passed":true},{"actual":[[[1,1],[0,1]],[[0,1],[1,1]]],"check":"explicit oracle 5","expected":[[[1,1],[0,1]],[[0,1],[1,1]]],"passed":true},{"actual":[[[0,1],[1,1]]],"check":"explicit oracle 6","expected":[[[0,1],[1,1]]],"passed":true},{"actual":[[[-1,2],[1,1]]],"check":"explicit oracle 7","expected":[[[-1,2],[1,1]]],"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"explicit oracle 0\", \"actual\": [[[0, 1], [0, 1]]], \"expected\": [[[1, 1], [0, 1]]], \"passed\": false}, {\"check\": \"explicit oracle 1\", \"actual\": [[[1, 2], [1, 1]]], \"expected\": [[[1, 2], [1, 1]]], \"passed\": true}, {\"check\": \"explicit oracle 2\", \"actual\": [[[1, 1], [0, 1]], [[0, 1], [1, 1]]], \"expected\": [[[1, 1], [0, 1]], [[0, 1], [1, 1]]], \"passed\": true}, {\"check\": \"explicit oracle 3\", \"actual\": [[[3, 1], [1, 2], [15, 2], [1, 1]]], \"expected\": [[[3, 1], [1, 2], [15, 2], [1, 1]]], \"passed\": true}, {\"check\": \"explicit oracle 4\", \"actual\": [[[-1, 1], [1, 1]]], \"expected\": [[[-1, 1], [1, 1]]], \"passed\": true}, {\"check\": \"explicit oracle 5\", \"actual\": [[[1, 1], [0, 1]], [[0, 1], [1, 1]]], \"expected\": [[[1, 1], [0, 1]], [[0, 1], [1, 1]]], \"passed\": true}, {\"check\": \"explicit oracle 6\", \"actual\": [[[0, 1], [1, 1]]], \"expected\": [[[0, 1], [1, 1]]], \"passed\": true}, {\"check\": \"explicit oracle 7\", \"actual\": [[[-1, 2], [1, 1]]], \"expected\": [[[-1, 2], [1, 1]]], \"passed\": true}], \"passed\": false}\n"},"fixed":{"elapsed_ms":45.019,"exit_code":0,"observations":[{"actual":[[[1,1],[0,1]]],"check":"explicit oracle 0","expected":[[[1,1],[0,1]]],"passed":true},{"actual":[[[1,2],[1,1]]],"check":"explicit oracle 1","expected":[[[1,2],[1,1]]],"passed":true},{"actual":[[[1,1],[0,1]],[[0,1],[1,1]]],"check":"explicit oracle 2","expected":[[[1,1],[0,1]],[[0,1],[1,1]]],"passed":true},{"actual":[[[3,1],[1,2],[15,2],[1,1]]],"check":"explicit oracle 3","expected":[[[3,1],[1,2],[15,2],[1,1]]],"passed":true},{"actual":[[[-1,1],[1,1]]],"check":"explicit oracle 4","expected":[[[-1,1],[1,1]]],"passed":true},{"actual":[[[1,1],[0,1]],[[0,1],[1,1]]],"check":"explicit oracle 5","expected":[[[1,1],[0,1]],[[0,1],[1,1]]],"passed":true},{"actual":[[[0,1],[1,1]]],"check":"explicit oracle 6","expected":[[[0,1],[1,1]]],"passed":true},{"actual":[[[-1,2],[1,1]]],"check":"explicit oracle 7","expected":[[[-1,2],[1,1]]],"passed":true}],"passed":true,"stderr":"","stdout":"{\"observations\": [{\"check\": \"explicit oracle 0\", \"actual\": [[[1, 1], [0, 1]]], \"expected\": [[[1, 1], [0, 1]]], \"passed\": true}, {\"check\": \"explicit oracle 1\", \"actual\": [[[1, 2], [1, 1]]], \"expected\": [[[1, 2], [1, 1]]], \"passed\": true}, {\"check\": \"explicit oracle 2\", \"actual\": [[[1, 1], [0, 1]], [[0, 1], [1, 1]]], \"expected\": [[[1, 1], [0, 1]], [[0, 1], [1, 1]]], \"passed\": true}, {\"check\": \"explicit oracle 3\", \"actual\": [[[3, 1], [1, 2], [15, 2], [1, 1]]], \"expected\": [[[3, 1], [1, 2], [15, 2], [1, 1]]], \"passed\": true}, {\"check\": \"explicit oracle 4\", \"actual\": [[[-1, 1], [1, 1]]], \"expected\": [[[-1, 1], [1, 1]]], \"passed\": true}, {\"check\": \"explicit oracle 5\", \"actual\": [[[1, 1], [0, 1]], [[0, 1], [1, 1]]], \"expected\": [[[1, 1], [0, 1]], [[0, 1], [1, 1]]], \"passed\": true}, {\"check\": \"explicit oracle 6\", \"actual\": [[[0, 1], [1, 1]]], \"expected\": [[[0, 1], [1, 1]]], \"passed\": true}, {\"check\": \"explicit oracle 7\", \"actual\": [[[-1, 2], [1, 1]]], \"expected\": [[[-1, 2], [1, 1]]], \"passed\": true}], \"passed\": true}\n"}},"verified":true,"visibility":"public"}