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            "bounds": {
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            "dual_residuals": {
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                "verifier": {
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            "family": {
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            "original_objective": 4.5,
            "outcome": "optimal",
            "primal": [
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            "primal_residuals": {
              "context": {
                "absolute_tolerance": 1e-08,
                "relative_tolerance": 1e-08,
                "subject": {
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                "verifier": {
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          "sequence": 11,
          "timings": {
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              "duration_ns": 346800,
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                "kind": "qp",
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          "registry": {
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            "requested": "csl.convex.highs"
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            "bounds": {
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              "upper": null
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            "dual_residuals": {
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                "violation": 0.0
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              "context": {
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                "relative_tolerance": 1e-08,
                "subject": {
                  "problem": "convex-report-literals",
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            "family": {
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            "objective_unavailable_reason": null,
            "original_objective": 4.123105625617661,
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            "primal_residuals": {
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                "relative_tolerance": 1e-08,
                "subject": {
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            "raw_diagnostics": "adapter.version=1.0.0+highs.1.11.0\nnative.version=1.11.0\nnative.archive_sha256=2b44b074cf41439325ce4d0bbdac2d51379f56faf17ba15320a410d3c1f07275\nprogram.original=norm-positive\nprogram.solver=norm-positive-squared\nprofile.maximum_variables=4096\nprofile.highs_int_bits=32\noptions.qp_nullspace_limit=4096\noptions.qp_regularization_value=0\noptions.use_warm_start=true\noptions.presolve=off\noptions.threads=1\noptions.parallel=off\noptions.small_matrix_value=1e-12\noptions.infinite_bound=inf\noptions.infinite_cost=inf\noptions.large_matrix_value=inf\noptions.native_tolerance=1e-08\noptions.feasibility_iteration_limit=2147483647\noptions.qp_iteration_limit=2147483647\nmodel.private_free_row=true\nmodel.original_rows=0\nmodel.native_rows=1\nphase.feasibility.time_limit=inf\nphase.feasibility.api_status=0\nphase.feasibility.model_status=7\nphase.feasibility.iterations=0\nstart.valid=true\nstart.default_fallback=false\nphase.qp.time_limit=inf\nphase.qp.api_status=0\nphase.qp.model_status=7\nphase.qp.iterations=2\nobjective.original=4.1231056256176606\nobjective.solver=17\ndual.private_free_row=0\ncheck.rows.violation=0\ncheck.rows.scale=1\ncheck.variables.violation=0\ncheck.variables.scale=2\ncheck.stationarity.violation=0\ncheck.stationarity.scale=1\ncheck.signs.violation=0\ncheck.signs.scale=1\ncheck.complementarity.violation=0\ncheck.complementarity.scale=1\ncertificates=unavailable\nbounds=unavailable\nbasis=unavailable\nfamilies=unavailable\nnative.log:\nRunning HiGHS 1.11.0 (git hash: n/a): Copyright (c) 2025 HiGHS under MIT licence terms\nLP   has 1 rows; 1 cols; 1 nonzeros\nCoefficient ranges:\n  Matrix [1e+00, 1e+00]\n  Cost   [0e+00, 0e+00]\n  Bound  [2e+00, 2e+00]\n  RHS    [0e+00, 0e+00]\nSolving LP without presolve, or with basis, or unconstrained\nModel status        : Optimal\nObjective value     :  0.0000000000e+00\nP-D objective error :  0.0000000000e+00\nHiGHS run time      :          0.00\nRunning HiGHS 1.11.0 (git hash: n/a): Copyright (c) 2025 HiGHS under MIT licence terms\nQP   has 1 rows; 1 cols; 1 matrix nonzeros; 1 Hessian nonzeros\nCoefficient ranges:\n  Matrix [1e+00, 1e+00]\n  Cost   [6e+00, 6e+00]\n  Bound  [2e+00, 2e+00]\n  RHS    [0e+00, 0e+00]\n  Iteration        Objective     NullspaceDim\n          0               25                0      0.00s\n          2               17                0      0.00s\nModel status        : Optimal\nQP ASM    iterations: 2\nObjective value     :  1.7000000000e+01\nP-D objective error :  0.0000000000e+00\nHiGHS run time      :          0.00\n",
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            "termination": "completed"
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          "sequence": 12,
          "timings": {
            "end_to_end": {
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              "duration_ns": 309100,
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            "dual_residuals": {
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              "context": {
                "absolute_tolerance": 1e-08,
                "relative_tolerance": 1e-08,
                "subject": {
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            "objective_unavailable_reason": null,
            "original_objective": 0.0,
            "outcome": "optimal",
            "primal": [
              3.0
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            "primal_residuals": {
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                "relative_tolerance": 1e-08,
                "subject": {
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                "verifier": {
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              },
              "rows": {
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            "raw_diagnostics": "adapter.version=1.0.0+highs.1.11.0\nnative.version=1.11.0\nnative.archive_sha256=2b44b074cf41439325ce4d0bbdac2d51379f56faf17ba15320a410d3c1f07275\nprogram.original=norm-zero\nprogram.solver=norm-zero-squared\nprofile.maximum_variables=4096\nprofile.highs_int_bits=32\noptions.qp_nullspace_limit=4096\noptions.qp_regularization_value=0\noptions.use_warm_start=true\noptions.presolve=off\noptions.threads=1\noptions.parallel=off\noptions.small_matrix_value=1e-12\noptions.infinite_bound=inf\noptions.infinite_cost=inf\noptions.large_matrix_value=inf\noptions.native_tolerance=1e-08\noptions.feasibility_iteration_limit=2147483647\noptions.qp_iteration_limit=2147483647\nmodel.private_free_row=true\nmodel.original_rows=0\nmodel.native_rows=1\nphase.feasibility.time_limit=inf\nphase.feasibility.api_status=0\nphase.feasibility.model_status=7\nphase.feasibility.iterations=0\nstart.valid=true\nstart.default_fallback=false\nphase.qp.time_limit=inf\nphase.qp.api_status=0\nphase.qp.model_status=7\nphase.qp.iterations=2\nobjective.original=0\nobjective.solver=0\ndual.private_free_row=0\nnorm.subgradient=checked-componentwise-zero\ncheck.rows.violation=0\ncheck.rows.scale=1\ncheck.variables.violation=0\ncheck.variables.scale=5\ncheck.stationarity.violation=0\ncheck.stationarity.scale=1\ncheck.signs.violation=0\ncheck.signs.scale=1\ncheck.complementarity.violation=0\ncheck.complementarity.scale=1\ncertificates=unavailable\nbounds=unavailable\nbasis=unavailable\nfamilies=unavailable\nnative.log:\nRunning HiGHS 1.11.0 (git hash: n/a): Copyright (c) 2025 HiGHS under MIT licence terms\nLP   has 1 rows; 1 cols; 1 nonzeros\nCoefficient ranges:\n  Matrix [1e+00, 1e+00]\n  Cost   [0e+00, 0e+00]\n  Bound  [5e+00, 5e+00]\n  RHS    [0e+00, 0e+00]\nSolving LP without presolve, or with basis, or unconstrained\nModel status        : Optimal\nObjective value     :  0.0000000000e+00\nP-D objective error :  0.0000000000e+00\nHiGHS run time      :          0.00\nRunning HiGHS 1.11.0 (git hash: n/a): Copyright (c) 2025 HiGHS under MIT licence terms\nQP   has 1 rows; 1 cols; 1 matrix nonzeros; 1 Hessian nonzeros\nCoefficient ranges:\n  Matrix [1e+00, 1e+00]\n  Cost   [6e+00, 6e+00]\n  Bound  [5e+00, 5e+00]\n  RHS    [0e+00, 0e+00]\n  Iteration        Objective     NullspaceDim\n          0                9                0      0.00s\n          2                0                1      0.00s\nModel status        : Optimal\nQP ASM    iterations: 2\nObjective value     :  0.0000000000e+00\nP-D objective error :  0.0000000000e+00\nHiGHS run time      :          0.00\n",
            "solver_objective": 0.0,
            "support": {
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            "termination": "completed"
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          "round": 1,
          "sequence": 13,
          "timings": {
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              "available": true,
              "duration_ns": 299200,
              "end_tick": "518524542069600",
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              "iterations": {
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          "observation_token": "5763891647518420808",
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                "relative_tolerance": 1e-08,
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            "family": {
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                "relative_tolerance": 1e-08,
                "subject": {
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                "verifier": {
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            "primal_residuals": {
              "context": {
                "absolute_tolerance": 1e-08,
                "relative_tolerance": 1e-08,
                "subject": {
                  "problem": "convex-report-literals",
                  "program": "quadratic-boundary"
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                "verifier": {
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                "violation": 0.0
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            "raw_diagnostics": "adapter.version=1.0.0+highs.1.11.0\nnative.version=1.11.0\nnative.archive_sha256=2b44b074cf41439325ce4d0bbdac2d51379f56faf17ba15320a410d3c1f07275\nprogram.original=quadratic-boundary\nprogram.solver=quadratic-boundary\nprofile.maximum_variables=4096\nprofile.highs_int_bits=32\noptions.qp_nullspace_limit=4096\noptions.qp_regularization_value=0\noptions.use_warm_start=true\noptions.presolve=off\noptions.threads=1\noptions.parallel=off\noptions.small_matrix_value=1e-12\noptions.infinite_bound=inf\noptions.infinite_cost=inf\noptions.large_matrix_value=inf\noptions.native_tolerance=1e-08\noptions.feasibility_iteration_limit=2147483647\noptions.qp_iteration_limit=2147483647\nmodel.private_free_row=true\nmodel.original_rows=0\nmodel.native_rows=1\nphase.feasibility.time_limit=inf\nphase.feasibility.api_status=0\nphase.feasibility.model_status=7\nphase.feasibility.iterations=0\nstart.valid=true\nstart.default_fallback=false\nphase.qp.time_limit=inf\nphase.qp.api_status=0\nphase.qp.model_status=7\nphase.qp.iterations=2\nobjective.original=1\nobjective.solver=1\ndual.private_free_row=0\ncheck.rows.violation=0\ncheck.rows.scale=1\ncheck.variables.violation=0\ncheck.variables.scale=2\ncheck.stationarity.violation=0\ncheck.stationarity.scale=4\ncheck.signs.violation=0\ncheck.signs.scale=2\ncheck.complementarity.violation=0\ncheck.complementarity.scale=4\ncertificates=unavailable\nbounds=unavailable\nbasis=unavailable\nfamilies=unavailable\nnative.log:\nRunning HiGHS 1.11.0 (git hash: n/a): Copyright (c) 2025 HiGHS under MIT licence terms\nLP   has 1 rows; 1 cols; 1 nonzeros\nCoefficient ranges:\n  Matrix [1e+00, 1e+00]\n  Cost   [0e+00, 0e+00]\n  Bound  [2e+00, 2e+00]\n  RHS    [0e+00, 0e+00]\nSolving LP without presolve, or with basis, or unconstrained\nModel status        : Optimal\nObjective value     :  0.0000000000e+00\nP-D objective error :  0.0000000000e+00\nHiGHS run time      :          0.00\nRunning HiGHS 1.11.0 (git hash: n/a): Copyright (c) 2025 HiGHS under MIT licence terms\nQP   has 1 rows; 1 cols; 1 matrix nonzeros; 1 Hessian nonzeros\nCoefficient ranges:\n  Matrix [1e+00, 1e+00]\n  Cost   [6e+00, 6e+00]\n  Bound  [2e+00, 2e+00]\n  RHS    [0e+00, 0e+00]\n  Iteration        Objective     NullspaceDim\n          0                9                0      0.00s\n          2                1                0      0.00s\nModel status        : Optimal\nQP ASM    iterations: 2\nObjective value     :  1.0000000000e+00\nP-D objective error :  0.0000000000e+00\nHiGHS run time      :          0.00\n",
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          "timings": {
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          "case_id": "quadratic-equality",
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              "iterations": {
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                "kind": "simplex",
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                "available": true,
                "kind": "qp",
                "reason": null,
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            }
          },
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          "purpose": "measurement",
          "registry": {
            "actual": {
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            "requested": "csl.convex.highs"
          },
          "result": {
            "bounds": {
              "lower": null,
              "upper": null
            },
            "dual_residuals": {
              "complementarity": {
                "scale": 6.0,
                "violation": 0.0
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              "context": {
                "absolute_tolerance": 1e-08,
                "relative_tolerance": 1e-08,
                "subject": {
                  "problem": "convex-report-literals",
                  "program": "quadratic-equality"
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                "verifier": {
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              "signs": {
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                "violation": 0.0
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              "stationarity": {
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            },
            "family": {
              "available": false,
              "reason": "point only"
            },
            "objective_unavailable_reason": null,
            "original_objective": 4.5,
            "outcome": "optimal",
            "primal": [
              0.5,
              1.5
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            "primal_residuals": {
              "context": {
                "absolute_tolerance": 1e-08,
                "relative_tolerance": 1e-08,
                "subject": {
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                  "program": "quadratic-equality"
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                "verifier": {
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              "variables": {
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            "raw_diagnostics": "adapter.version=1.0.0+highs.1.11.0\nnative.version=1.11.0\nnative.archive_sha256=2b44b074cf41439325ce4d0bbdac2d51379f56faf17ba15320a410d3c1f07275\nprogram.original=quadratic-equality\nprogram.solver=quadratic-equality\nprofile.maximum_variables=4096\nprofile.highs_int_bits=32\noptions.qp_nullspace_limit=4096\noptions.qp_regularization_value=0\noptions.use_warm_start=true\noptions.presolve=off\noptions.threads=1\noptions.parallel=off\noptions.small_matrix_value=1e-12\noptions.infinite_bound=inf\noptions.infinite_cost=inf\noptions.large_matrix_value=inf\noptions.native_tolerance=1e-08\noptions.feasibility_iteration_limit=2147483647\noptions.qp_iteration_limit=2147483647\nmodel.private_free_row=false\nmodel.original_rows=1\nmodel.native_rows=1\nphase.feasibility.time_limit=inf\nphase.feasibility.api_status=0\nphase.feasibility.model_status=7\nphase.feasibility.iterations=1\nstart.valid=true\nstart.default_fallback=false\nphase.qp.time_limit=inf\nphase.qp.api_status=0\nphase.qp.model_status=7\nphase.qp.iterations=3\nobjective.original=4.5\nobjective.solver=4.5\ncheck.rows.violation=0\ncheck.rows.scale=2\ncheck.variables.violation=0\ncheck.variables.scale=1.5\ncheck.stationarity.violation=0\ncheck.stationarity.scale=6\ncheck.signs.violation=0\ncheck.signs.scale=3\ncheck.complementarity.violation=0\ncheck.complementarity.scale=6\ncertificates=unavailable\nbounds=unavailable\nbasis=unavailable\nfamilies=unavailable\nnative.log:\nRunning HiGHS 1.11.0 (git hash: n/a): Copyright (c) 2025 HiGHS under MIT licence terms\nLP   has 1 rows; 2 cols; 2 nonzeros\nCoefficient ranges:\n  Matrix [1e+00, 1e+00]\n  Cost   [0e+00, 0e+00]\n  Bound  [0e+00, 0e+00]\n  RHS    [2e+00, 2e+00]\nSolving LP without presolve, or with basis, or unconstrained\nUsing EKK dual simplex solver - serial\n  Iteration        Objective     Infeasibilities num(sum)\n          0     0.0000000000e+00 Pr: 1(2); Du: 0(2.3388e-13) 0s\n          1     0.0000000000e+00 Pr: 0(0) 0s\nModel status        : Optimal\nSimplex   iterations: 1\nObjective value     :  0.0000000000e+00\nP-D objective error :  0.0000000000e+00\nHiGHS run time      :          0.00\nRunning HiGHS 1.11.0 (git hash: n/a): Copyright (c) 2025 HiGHS under MIT licence terms\nQP   has 1 rows; 2 cols; 2 matrix nonzeros; 3 Hessian nonzeros\nCoefficient ranges:\n  Matrix [1e+00, 1e+00]\n  Cost   [8e+00, 1e+01]\n  Bound  [0e+00, 0e+00]\n  RHS    [2e+00, 2e+00]\n  Iteration        Objective     NullspaceDim\n          0                5                1      0.00s\n          3              4.5                1      0.00s\nModel status        : Optimal\nQP ASM    iterations: 3\nObjective value     :  4.5000000000e+00\nP-D objective error :  0.0000000000e+00\nHiGHS run time      :          0.00\n",
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          "sequence": 20,
          "timings": {
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              "duration_ns": 339800,
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                "kind": "qp",
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            "dual_residuals": {
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              "context": {
                "absolute_tolerance": 1e-08,
                "relative_tolerance": 1e-08,
                "subject": {
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                "verifier": {
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            "original_objective": 4.123105625617661,
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            "primal_residuals": {
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                "relative_tolerance": 1e-08,
                "subject": {
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            "raw_diagnostics": "adapter.version=1.0.0+highs.1.11.0\nnative.version=1.11.0\nnative.archive_sha256=2b44b074cf41439325ce4d0bbdac2d51379f56faf17ba15320a410d3c1f07275\nprogram.original=norm-positive\nprogram.solver=norm-positive-squared\nprofile.maximum_variables=4096\nprofile.highs_int_bits=32\noptions.qp_nullspace_limit=4096\noptions.qp_regularization_value=0\noptions.use_warm_start=true\noptions.presolve=off\noptions.threads=1\noptions.parallel=off\noptions.small_matrix_value=1e-12\noptions.infinite_bound=inf\noptions.infinite_cost=inf\noptions.large_matrix_value=inf\noptions.native_tolerance=1e-08\noptions.feasibility_iteration_limit=2147483647\noptions.qp_iteration_limit=2147483647\nmodel.private_free_row=true\nmodel.original_rows=0\nmodel.native_rows=1\nphase.feasibility.time_limit=inf\nphase.feasibility.api_status=0\nphase.feasibility.model_status=7\nphase.feasibility.iterations=0\nstart.valid=true\nstart.default_fallback=false\nphase.qp.time_limit=inf\nphase.qp.api_status=0\nphase.qp.model_status=7\nphase.qp.iterations=2\nobjective.original=4.1231056256176606\nobjective.solver=17\ndual.private_free_row=0\ncheck.rows.violation=0\ncheck.rows.scale=1\ncheck.variables.violation=0\ncheck.variables.scale=2\ncheck.stationarity.violation=0\ncheck.stationarity.scale=1\ncheck.signs.violation=0\ncheck.signs.scale=1\ncheck.complementarity.violation=0\ncheck.complementarity.scale=1\ncertificates=unavailable\nbounds=unavailable\nbasis=unavailable\nfamilies=unavailable\nnative.log:\nRunning HiGHS 1.11.0 (git hash: n/a): Copyright (c) 2025 HiGHS under MIT licence terms\nLP   has 1 rows; 1 cols; 1 nonzeros\nCoefficient ranges:\n  Matrix [1e+00, 1e+00]\n  Cost   [0e+00, 0e+00]\n  Bound  [2e+00, 2e+00]\n  RHS    [0e+00, 0e+00]\nSolving LP without presolve, or with basis, or unconstrained\nModel status        : Optimal\nObjective value     :  0.0000000000e+00\nP-D objective error :  0.0000000000e+00\nHiGHS run time      :          0.00\nRunning HiGHS 1.11.0 (git hash: n/a): Copyright (c) 2025 HiGHS under MIT licence terms\nQP   has 1 rows; 1 cols; 1 matrix nonzeros; 1 Hessian nonzeros\nCoefficient ranges:\n  Matrix [1e+00, 1e+00]\n  Cost   [6e+00, 6e+00]\n  Bound  [2e+00, 2e+00]\n  RHS    [0e+00, 0e+00]\n  Iteration        Objective     NullspaceDim\n          0               25                0      0.00s\n          2               17                0      0.00s\nModel status        : Optimal\nQP ASM    iterations: 2\nObjective value     :  1.7000000000e+01\nP-D objective error :  0.0000000000e+00\nHiGHS run time      :          0.00\n",
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                "subject": {
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            "primal_residuals": {
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                "relative_tolerance": 1e-08,
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            "primal_residuals": {
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                "relative_tolerance": 1e-08,
                "subject": {
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                "relative_tolerance": 1e-08,
                "subject": {
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            "family": {
              "available": false,
              "reason": "point only"
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                "relative_tolerance": 1e-08,
                "subject": {
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            "dual_residuals": {
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                "violation": 0.0
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              "context": {
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                "relative_tolerance": 1e-08,
                "subject": {
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            "objective_unavailable_reason": null,
            "original_objective": 1.0,
            "outcome": "optimal",
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            "primal_residuals": {
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                "relative_tolerance": 1e-08,
                "subject": {
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              "reason": "point only"
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            "original_objective": 4.5,
            "outcome": "optimal",
            "primal": [
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            "primal_residuals": {
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                "absolute_tolerance": 1e-08,
                "relative_tolerance": 1e-08,
                "subject": {
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                "verifier": {
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            "raw_diagnostics": "adapter.version=1.0.0+highs.1.11.0\nnative.version=1.11.0\nnative.archive_sha256=2b44b074cf41439325ce4d0bbdac2d51379f56faf17ba15320a410d3c1f07275\nprogram.original=quadratic-equality\nprogram.solver=quadratic-equality\nprofile.maximum_variables=4096\nprofile.highs_int_bits=32\noptions.qp_nullspace_limit=4096\noptions.qp_regularization_value=0\noptions.use_warm_start=true\noptions.presolve=off\noptions.threads=1\noptions.parallel=off\noptions.small_matrix_value=1e-12\noptions.infinite_bound=inf\noptions.infinite_cost=inf\noptions.large_matrix_value=inf\noptions.native_tolerance=1e-08\noptions.feasibility_iteration_limit=2147483647\noptions.qp_iteration_limit=2147483647\nmodel.private_free_row=false\nmodel.original_rows=1\nmodel.native_rows=1\nphase.feasibility.time_limit=inf\nphase.feasibility.api_status=0\nphase.feasibility.model_status=7\nphase.feasibility.iterations=1\nstart.valid=true\nstart.default_fallback=false\nphase.qp.time_limit=inf\nphase.qp.api_status=0\nphase.qp.model_status=7\nphase.qp.iterations=3\nobjective.original=4.5\nobjective.solver=4.5\ncheck.rows.violation=0\ncheck.rows.scale=2\ncheck.variables.violation=0\ncheck.variables.scale=1.5\ncheck.stationarity.violation=0\ncheck.stationarity.scale=6\ncheck.signs.violation=0\ncheck.signs.scale=3\ncheck.complementarity.violation=0\ncheck.complementarity.scale=6\ncertificates=unavailable\nbounds=unavailable\nbasis=unavailable\nfamilies=unavailable\nnative.log:\nRunning HiGHS 1.11.0 (git hash: n/a): Copyright (c) 2025 HiGHS under MIT licence terms\nLP   has 1 rows; 2 cols; 2 nonzeros\nCoefficient ranges:\n  Matrix [1e+00, 1e+00]\n  Cost   [0e+00, 0e+00]\n  Bound  [0e+00, 0e+00]\n  RHS    [2e+00, 2e+00]\nSolving LP without presolve, or with basis, or unconstrained\nUsing EKK dual simplex solver - serial\n  Iteration        Objective     Infeasibilities num(sum)\n          0     0.0000000000e+00 Pr: 1(2); Du: 0(2.3388e-13) 0s\n          1     0.0000000000e+00 Pr: 0(0) 0s\nModel status        : Optimal\nSimplex   iterations: 1\nObjective value     :  0.0000000000e+00\nP-D objective error :  0.0000000000e+00\nHiGHS run time      :          0.00\nRunning HiGHS 1.11.0 (git hash: n/a): Copyright (c) 2025 HiGHS under MIT licence terms\nQP   has 1 rows; 2 cols; 2 matrix nonzeros; 3 Hessian nonzeros\nCoefficient ranges:\n  Matrix [1e+00, 1e+00]\n  Cost   [8e+00, 1e+01]\n  Bound  [0e+00, 0e+00]\n  RHS    [2e+00, 2e+00]\n  Iteration        Objective     NullspaceDim\n          0                5                1      0.00s\n          3              4.5                1      0.00s\nModel status        : Optimal\nQP ASM    iterations: 3\nObjective value     :  4.5000000000e+00\nP-D objective error :  0.0000000000e+00\nHiGHS run time      :          0.00\n",
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                "relative_tolerance": 1e-08,
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            "original_objective": 4.0,
            "outcome": "infeasible",
            "primal": [
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            "primal_residuals": {
              "context": {
                "absolute_tolerance": 1e-08,
                "relative_tolerance": 1e-08,
                "subject": {
                  "problem": "convex-report-literals",
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                },
                "verifier": {
                  "id": "csl.convex.highs.primal",
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            "raw_diagnostics": "adapter.version=1.0.0+highs.1.11.0\nnative.version=1.11.0\nnative.archive_sha256=2b44b074cf41439325ce4d0bbdac2d51379f56faf17ba15320a410d3c1f07275\nprogram.original=quadratic-zero-contradiction\nprogram.solver=quadratic-zero-contradiction\nprofile.maximum_variables=4096\nprofile.highs_int_bits=32\noptions.qp_nullspace_limit=4096\noptions.qp_regularization_value=0\noptions.use_warm_start=true\noptions.presolve=off\noptions.threads=1\noptions.parallel=off\noptions.small_matrix_value=1e-12\noptions.infinite_bound=inf\noptions.infinite_cost=inf\noptions.large_matrix_value=inf\noptions.native_tolerance=1e-08\noptions.feasibility_iteration_limit=2147483647\noptions.qp_iteration_limit=2147483647\nmodel.private_free_row=true\nmodel.original_rows=1\nmodel.native_rows=2\nphase.feasibility.time_limit=inf\nphase.feasibility.api_status=0\nphase.feasibility.model_status=8\nphase.feasibility.iterations=0\nobjective.original=4\nobjective.solver=4\ndual.unavailable=invalid native multiplier mapping\ncheck.rows.violation=1\ncheck.rows.scale=1\ncheck.variables.violation=0\ncheck.variables.scale=5\ncertificates=unavailable\nbounds=unavailable\nbasis=unavailable\nfamilies=unavailable\nnative.log:\nRunning HiGHS 1.11.0 (git hash: n/a): Copyright (c) 2025 HiGHS under MIT licence terms\nLP   has 2 rows; 1 cols; 1 nonzeros\nCoefficient ranges:\n  Matrix [1e+00, 1e+00]\n  Cost   [0e+00, 0e+00]\n  Bound  [1e+00, 5e+00]\n  RHS    [1e+00, 1e+00]\nSolving LP without presolve, or with basis, or unconstrained\nUsing EKK dual simplex solver - serial\n  Iteration        Objective     Infeasibilities num(sum)\n          0     7.2684833718e-07 Pr: 1(1) 0s\n          0     7.2684833718e-07 0s\nWARNING: LP solution KKT conditions\nnum/max      1 /        1 (relative      1 /      0.5) primal infeasibilities     (tolerance = 1e-08)\nnum/max      0 /        0 (relative      0 /        0)   dual infeasibilities     (tolerance = 1e-08)\n                                         1 / 7.27e-07  P-D objective error        (tolerance = 1e-07)\nModel status        : Infeasible\nObjective value     :  0.0000000000e+00\nP-D objective error :  7.2684780888e-07\nHiGHS run time      :          0.00\n",
            "solver_objective": 4.0,
            "support": {
              "kind": "unestablished"
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            "termination": "completed"
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          "round": 4,
          "sequence": 44,
          "timings": {
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              "duration_ns": 165500,
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              "duration_ns": 1200,
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                "kind": "qp",
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          "observation_token": "3376466157360010528",
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          "purpose": "measurement",
          "registry": {
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            "bounds": {
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            "dual_residuals": {
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                "relative_tolerance": 1e-08,
                "subject": {
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                "relative_tolerance": 1e-08,
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            "raw_diagnostics": "adapter.version=1.0.0+highs.1.11.0\nnative.version=1.11.0\nnative.archive_sha256=2b44b074cf41439325ce4d0bbdac2d51379f56faf17ba15320a410d3c1f07275\nprogram.original=norm-zero\nprogram.solver=norm-zero-squared\nprofile.maximum_variables=4096\nprofile.highs_int_bits=32\noptions.qp_nullspace_limit=4096\noptions.qp_regularization_value=0\noptions.use_warm_start=true\noptions.presolve=off\noptions.threads=1\noptions.parallel=off\noptions.small_matrix_value=1e-12\noptions.infinite_bound=inf\noptions.infinite_cost=inf\noptions.large_matrix_value=inf\noptions.native_tolerance=1e-08\noptions.feasibility_iteration_limit=2147483647\noptions.qp_iteration_limit=2147483647\nmodel.private_free_row=true\nmodel.original_rows=0\nmodel.native_rows=1\nphase.feasibility.time_limit=inf\nphase.feasibility.api_status=0\nphase.feasibility.model_status=7\nphase.feasibility.iterations=0\nstart.valid=true\nstart.default_fallback=false\nphase.qp.time_limit=inf\nphase.qp.api_status=0\nphase.qp.model_status=7\nphase.qp.iterations=2\nobjective.original=0\nobjective.solver=0\ndual.private_free_row=0\nnorm.subgradient=checked-componentwise-zero\ncheck.rows.violation=0\ncheck.rows.scale=1\ncheck.variables.violation=0\ncheck.variables.scale=5\ncheck.stationarity.violation=0\ncheck.stationarity.scale=1\ncheck.signs.violation=0\ncheck.signs.scale=1\ncheck.complementarity.violation=0\ncheck.complementarity.scale=1\ncertificates=unavailable\nbounds=unavailable\nbasis=unavailable\nfamilies=unavailable\nnative.log:\nRunning HiGHS 1.11.0 (git hash: n/a): Copyright (c) 2025 HiGHS under MIT licence terms\nLP   has 1 rows; 1 cols; 1 nonzeros\nCoefficient ranges:\n  Matrix [1e+00, 1e+00]\n  Cost   [0e+00, 0e+00]\n  Bound  [5e+00, 5e+00]\n  RHS    [0e+00, 0e+00]\nSolving LP without presolve, or with basis, or unconstrained\nModel status        : Optimal\nObjective value     :  0.0000000000e+00\nP-D objective error :  0.0000000000e+00\nHiGHS run time      :          0.00\nRunning HiGHS 1.11.0 (git hash: n/a): Copyright (c) 2025 HiGHS under MIT licence terms\nQP   has 1 rows; 1 cols; 1 matrix nonzeros; 1 Hessian nonzeros\nCoefficient ranges:\n  Matrix [1e+00, 1e+00]\n  Cost   [6e+00, 6e+00]\n  Bound  [5e+00, 5e+00]\n  RHS    [0e+00, 0e+00]\n  Iteration        Objective     NullspaceDim\n          0                9                0      0.00s\n          2                0                1      0.00s\nModel status        : Optimal\nQP ASM    iterations: 2\nObjective value     :  0.0000000000e+00\nP-D objective error :  0.0000000000e+00\nHiGHS run time      :          0.00\n",
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            "raw_diagnostics": "adapter.version=1.0.0+highs.1.11.0\nnative.version=1.11.0\nnative.archive_sha256=2b44b074cf41439325ce4d0bbdac2d51379f56faf17ba15320a410d3c1f07275\nprogram.original=quadratic-zero-row\nprogram.solver=quadratic-zero-row\nprofile.maximum_variables=4096\nprofile.highs_int_bits=32\noptions.qp_nullspace_limit=4096\noptions.qp_regularization_value=0\noptions.use_warm_start=true\noptions.presolve=off\noptions.threads=1\noptions.parallel=off\noptions.small_matrix_value=1e-12\noptions.infinite_bound=inf\noptions.infinite_cost=inf\noptions.large_matrix_value=inf\noptions.native_tolerance=1e-08\noptions.feasibility_iteration_limit=2147483647\noptions.qp_iteration_limit=2147483647\nmodel.private_free_row=true\nmodel.original_rows=1\nmodel.native_rows=2\nphase.feasibility.time_limit=inf\nphase.feasibility.api_status=0\nphase.feasibility.model_status=7\nphase.feasibility.iterations=0\nstart.valid=true\nstart.default_fallback=false\nphase.qp.time_limit=inf\nphase.qp.api_status=0\nphase.qp.model_status=7\nphase.qp.iterations=2\nobjective.original=0\nobjective.solver=0\ndual.private_free_row=0\ncheck.rows.violation=0\ncheck.rows.scale=1\ncheck.variables.violation=0\ncheck.variables.scale=5\ncheck.stationarity.violation=0\ncheck.stationarity.scale=1\ncheck.signs.violation=0\ncheck.signs.scale=1\ncheck.complementarity.violation=0\ncheck.complementarity.scale=1\ncertificates=unavailable\nbounds=unavailable\nbasis=unavailable\nfamilies=unavailable\nnative.log:\nRunning HiGHS 1.11.0 (git hash: n/a): Copyright (c) 2025 HiGHS under MIT licence terms\nLP   has 2 rows; 1 cols; 1 nonzeros\nCoefficient ranges:\n  Matrix [1e+00, 1e+00]\n  Cost   [0e+00, 0e+00]\n  Bound  [1e+00, 5e+00]\n  RHS    [0e+00, 0e+00]\nSolving LP without presolve, or with basis, or unconstrained\nModel status        : Optimal\nObjective value     :  0.0000000000e+00\nP-D objective error :  0.0000000000e+00\nHiGHS run time      :          0.00\nRunning HiGHS 1.11.0 (git hash: n/a): Copyright (c) 2025 HiGHS under MIT licence terms\nQP   has 2 rows; 1 cols; 1 matrix nonzeros; 1 Hessian nonzeros\nCoefficient ranges:\n  Matrix [1e+00, 1e+00]\n  Cost   [6e+00, 6e+00]\n  Bound  [1e+00, 5e+00]\n  RHS    [0e+00, 0e+00]\n  Iteration        Objective     NullspaceDim\n          0                4                0      0.00s\n          2                0                1      0.00s\nModel status        : Optimal\nQP ASM    iterations: 2\nObjective value     :  0.0000000000e+00\nP-D objective error :  0.0000000000e+00\nHiGHS run time      :          0.00\n",
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                "subject": {
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              "duration_ns": 158700,
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                "relative_tolerance": 1e-08,
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            "primal_residuals": {
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                "relative_tolerance": 1e-08,
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                "subject": {
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            "objective_unavailable_reason": null,
            "original_objective": 1.0,
            "outcome": "optimal",
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              2.0
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            "primal_residuals": {
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                "relative_tolerance": 1e-08,
                "subject": {
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              },
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            "raw_diagnostics": "adapter.version=1.0.0+highs.1.11.0\nnative.version=1.11.0\nnative.archive_sha256=2b44b074cf41439325ce4d0bbdac2d51379f56faf17ba15320a410d3c1f07275\nprogram.original=quadratic-boundary\nprogram.solver=quadratic-boundary\nprofile.maximum_variables=4096\nprofile.highs_int_bits=32\noptions.qp_nullspace_limit=4096\noptions.qp_regularization_value=0\noptions.use_warm_start=true\noptions.presolve=off\noptions.threads=1\noptions.parallel=off\noptions.small_matrix_value=1e-12\noptions.infinite_bound=inf\noptions.infinite_cost=inf\noptions.large_matrix_value=inf\noptions.native_tolerance=1e-08\noptions.feasibility_iteration_limit=2147483647\noptions.qp_iteration_limit=2147483647\nmodel.private_free_row=true\nmodel.original_rows=0\nmodel.native_rows=1\nphase.feasibility.time_limit=inf\nphase.feasibility.api_status=0\nphase.feasibility.model_status=7\nphase.feasibility.iterations=0\nstart.valid=true\nstart.default_fallback=false\nphase.qp.time_limit=inf\nphase.qp.api_status=0\nphase.qp.model_status=7\nphase.qp.iterations=2\nobjective.original=1\nobjective.solver=1\ndual.private_free_row=0\ncheck.rows.violation=0\ncheck.rows.scale=1\ncheck.variables.violation=0\ncheck.variables.scale=2\ncheck.stationarity.violation=0\ncheck.stationarity.scale=4\ncheck.signs.violation=0\ncheck.signs.scale=2\ncheck.complementarity.violation=0\ncheck.complementarity.scale=4\ncertificates=unavailable\nbounds=unavailable\nbasis=unavailable\nfamilies=unavailable\nnative.log:\nRunning HiGHS 1.11.0 (git hash: n/a): Copyright (c) 2025 HiGHS under MIT licence terms\nLP   has 1 rows; 1 cols; 1 nonzeros\nCoefficient ranges:\n  Matrix [1e+00, 1e+00]\n  Cost   [0e+00, 0e+00]\n  Bound  [2e+00, 2e+00]\n  RHS    [0e+00, 0e+00]\nSolving LP without presolve, or with basis, or unconstrained\nModel status        : Optimal\nObjective value     :  0.0000000000e+00\nP-D objective error :  0.0000000000e+00\nHiGHS run time      :          0.00\nRunning HiGHS 1.11.0 (git hash: n/a): Copyright (c) 2025 HiGHS under MIT licence terms\nQP   has 1 rows; 1 cols; 1 matrix nonzeros; 1 Hessian nonzeros\nCoefficient ranges:\n  Matrix [1e+00, 1e+00]\n  Cost   [6e+00, 6e+00]\n  Bound  [2e+00, 2e+00]\n  RHS    [0e+00, 0e+00]\n  Iteration        Objective     NullspaceDim\n          0                9                0      0.00s\n          2                1                0      0.00s\nModel status        : Optimal\nQP ASM    iterations: 2\nObjective value     :  1.0000000000e+00\nP-D objective error :  0.0000000000e+00\nHiGHS run time      :          0.00\n",
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            "dual_residuals": {
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                "relative_tolerance": 1e-08,
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            "original_objective": 4.5,
            "outcome": "optimal",
            "primal": [
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            "primal_residuals": {
              "context": {
                "absolute_tolerance": 1e-08,
                "relative_tolerance": 1e-08,
                "subject": {
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                  "program": "quadratic-equality"
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                "verifier": {
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          "sequence": 56,
          "timings": {
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              "duration_ns": 1900,
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            "dual_residuals": {
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                "relative_tolerance": 1e-08,
                "subject": {
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            "family": {
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            "objective_unavailable_reason": null,
            "original_objective": 4.123105625617661,
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            "primal_residuals": {
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                "relative_tolerance": 1e-08,
                "subject": {
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            "raw_diagnostics": "adapter.version=1.0.0+highs.1.11.0\nnative.version=1.11.0\nnative.archive_sha256=2b44b074cf41439325ce4d0bbdac2d51379f56faf17ba15320a410d3c1f07275\nprogram.original=norm-positive\nprogram.solver=norm-positive-squared\nprofile.maximum_variables=4096\nprofile.highs_int_bits=32\noptions.qp_nullspace_limit=4096\noptions.qp_regularization_value=0\noptions.use_warm_start=true\noptions.presolve=off\noptions.threads=1\noptions.parallel=off\noptions.small_matrix_value=1e-12\noptions.infinite_bound=inf\noptions.infinite_cost=inf\noptions.large_matrix_value=inf\noptions.native_tolerance=1e-08\noptions.feasibility_iteration_limit=2147483647\noptions.qp_iteration_limit=2147483647\nmodel.private_free_row=true\nmodel.original_rows=0\nmodel.native_rows=1\nphase.feasibility.time_limit=inf\nphase.feasibility.api_status=0\nphase.feasibility.model_status=7\nphase.feasibility.iterations=0\nstart.valid=true\nstart.default_fallback=false\nphase.qp.time_limit=inf\nphase.qp.api_status=0\nphase.qp.model_status=7\nphase.qp.iterations=2\nobjective.original=4.1231056256176606\nobjective.solver=17\ndual.private_free_row=0\ncheck.rows.violation=0\ncheck.rows.scale=1\ncheck.variables.violation=0\ncheck.variables.scale=2\ncheck.stationarity.violation=0\ncheck.stationarity.scale=1\ncheck.signs.violation=0\ncheck.signs.scale=1\ncheck.complementarity.violation=0\ncheck.complementarity.scale=1\ncertificates=unavailable\nbounds=unavailable\nbasis=unavailable\nfamilies=unavailable\nnative.log:\nRunning HiGHS 1.11.0 (git hash: n/a): Copyright (c) 2025 HiGHS under MIT licence terms\nLP   has 1 rows; 1 cols; 1 nonzeros\nCoefficient ranges:\n  Matrix [1e+00, 1e+00]\n  Cost   [0e+00, 0e+00]\n  Bound  [2e+00, 2e+00]\n  RHS    [0e+00, 0e+00]\nSolving LP without presolve, or with basis, or unconstrained\nModel status        : Optimal\nObjective value     :  0.0000000000e+00\nP-D objective error :  0.0000000000e+00\nHiGHS run time      :          0.00\nRunning HiGHS 1.11.0 (git hash: n/a): Copyright (c) 2025 HiGHS under MIT licence terms\nQP   has 1 rows; 1 cols; 1 matrix nonzeros; 1 Hessian nonzeros\nCoefficient ranges:\n  Matrix [1e+00, 1e+00]\n  Cost   [6e+00, 6e+00]\n  Bound  [2e+00, 2e+00]\n  RHS    [0e+00, 0e+00]\n  Iteration        Objective     NullspaceDim\n          0               25                0      0.00s\n          2               17                0      0.00s\nModel status        : Optimal\nQP ASM    iterations: 2\nObjective value     :  1.7000000000e+01\nP-D objective error :  0.0000000000e+00\nHiGHS run time      :          0.00\n",
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          "sequence": 57,
          "timings": {
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              "duration_ns": 263700,
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            "objective_unavailable_reason": null,
            "original_objective": 0.0,
            "outcome": "optimal",
            "primal": [
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            "primal_residuals": {
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                "relative_tolerance": 1e-08,
                "subject": {
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              },
              "rows": {
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            "raw_diagnostics": "adapter.version=1.0.0+highs.1.11.0\nnative.version=1.11.0\nnative.archive_sha256=2b44b074cf41439325ce4d0bbdac2d51379f56faf17ba15320a410d3c1f07275\nprogram.original=norm-zero\nprogram.solver=norm-zero-squared\nprofile.maximum_variables=4096\nprofile.highs_int_bits=32\noptions.qp_nullspace_limit=4096\noptions.qp_regularization_value=0\noptions.use_warm_start=true\noptions.presolve=off\noptions.threads=1\noptions.parallel=off\noptions.small_matrix_value=1e-12\noptions.infinite_bound=inf\noptions.infinite_cost=inf\noptions.large_matrix_value=inf\noptions.native_tolerance=1e-08\noptions.feasibility_iteration_limit=2147483647\noptions.qp_iteration_limit=2147483647\nmodel.private_free_row=true\nmodel.original_rows=0\nmodel.native_rows=1\nphase.feasibility.time_limit=inf\nphase.feasibility.api_status=0\nphase.feasibility.model_status=7\nphase.feasibility.iterations=0\nstart.valid=true\nstart.default_fallback=false\nphase.qp.time_limit=inf\nphase.qp.api_status=0\nphase.qp.model_status=7\nphase.qp.iterations=2\nobjective.original=0\nobjective.solver=0\ndual.private_free_row=0\nnorm.subgradient=checked-componentwise-zero\ncheck.rows.violation=0\ncheck.rows.scale=1\ncheck.variables.violation=0\ncheck.variables.scale=5\ncheck.stationarity.violation=0\ncheck.stationarity.scale=1\ncheck.signs.violation=0\ncheck.signs.scale=1\ncheck.complementarity.violation=0\ncheck.complementarity.scale=1\ncertificates=unavailable\nbounds=unavailable\nbasis=unavailable\nfamilies=unavailable\nnative.log:\nRunning HiGHS 1.11.0 (git hash: n/a): Copyright (c) 2025 HiGHS under MIT licence terms\nLP   has 1 rows; 1 cols; 1 nonzeros\nCoefficient ranges:\n  Matrix [1e+00, 1e+00]\n  Cost   [0e+00, 0e+00]\n  Bound  [5e+00, 5e+00]\n  RHS    [0e+00, 0e+00]\nSolving LP without presolve, or with basis, or unconstrained\nModel status        : Optimal\nObjective value     :  0.0000000000e+00\nP-D objective error :  0.0000000000e+00\nHiGHS run time      :          0.00\nRunning HiGHS 1.11.0 (git hash: n/a): Copyright (c) 2025 HiGHS under MIT licence terms\nQP   has 1 rows; 1 cols; 1 matrix nonzeros; 1 Hessian nonzeros\nCoefficient ranges:\n  Matrix [1e+00, 1e+00]\n  Cost   [6e+00, 6e+00]\n  Bound  [5e+00, 5e+00]\n  RHS    [0e+00, 0e+00]\n  Iteration        Objective     NullspaceDim\n          0                9                0      0.00s\n          2                0                1      0.00s\nModel status        : Optimal\nQP ASM    iterations: 2\nObjective value     :  0.0000000000e+00\nP-D objective error :  0.0000000000e+00\nHiGHS run time      :          0.00\n",
            "solver_objective": 0.0,
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            "raw_diagnostics": "adapter.version=1.0.0+highs.1.11.0\nnative.version=1.11.0\nnative.archive_sha256=2b44b074cf41439325ce4d0bbdac2d51379f56faf17ba15320a410d3c1f07275\nprogram.original=quadratic-zero-row\nprogram.solver=quadratic-zero-row\nprofile.maximum_variables=4096\nprofile.highs_int_bits=32\noptions.qp_nullspace_limit=4096\noptions.qp_regularization_value=0\noptions.use_warm_start=true\noptions.presolve=off\noptions.threads=1\noptions.parallel=off\noptions.small_matrix_value=1e-12\noptions.infinite_bound=inf\noptions.infinite_cost=inf\noptions.large_matrix_value=inf\noptions.native_tolerance=1e-08\noptions.feasibility_iteration_limit=2147483647\noptions.qp_iteration_limit=2147483647\nmodel.private_free_row=true\nmodel.original_rows=1\nmodel.native_rows=2\nphase.feasibility.time_limit=inf\nphase.feasibility.api_status=0\nphase.feasibility.model_status=7\nphase.feasibility.iterations=0\nstart.valid=true\nstart.default_fallback=false\nphase.qp.time_limit=inf\nphase.qp.api_status=0\nphase.qp.model_status=7\nphase.qp.iterations=2\nobjective.original=0\nobjective.solver=0\ndual.private_free_row=0\ncheck.rows.violation=0\ncheck.rows.scale=1\ncheck.variables.violation=0\ncheck.variables.scale=5\ncheck.stationarity.violation=0\ncheck.stationarity.scale=1\ncheck.signs.violation=0\ncheck.signs.scale=1\ncheck.complementarity.violation=0\ncheck.complementarity.scale=1\ncertificates=unavailable\nbounds=unavailable\nbasis=unavailable\nfamilies=unavailable\nnative.log:\nRunning HiGHS 1.11.0 (git hash: n/a): Copyright (c) 2025 HiGHS under MIT licence terms\nLP   has 2 rows; 1 cols; 1 nonzeros\nCoefficient ranges:\n  Matrix [1e+00, 1e+00]\n  Cost   [0e+00, 0e+00]\n  Bound  [1e+00, 5e+00]\n  RHS    [0e+00, 0e+00]\nSolving LP without presolve, or with basis, or unconstrained\nModel status        : Optimal\nObjective value     :  0.0000000000e+00\nP-D objective error :  0.0000000000e+00\nHiGHS run time      :          0.00\nRunning HiGHS 1.11.0 (git hash: n/a): Copyright (c) 2025 HiGHS under MIT licence terms\nQP   has 2 rows; 1 cols; 1 matrix nonzeros; 1 Hessian nonzeros\nCoefficient ranges:\n  Matrix [1e+00, 1e+00]\n  Cost   [6e+00, 6e+00]\n  Bound  [1e+00, 5e+00]\n  RHS    [0e+00, 0e+00]\n  Iteration        Objective     NullspaceDim\n          0                4                0      0.00s\n          2                0                1      0.00s\nModel status        : Optimal\nQP ASM    iterations: 2\nObjective value     :  0.0000000000e+00\nP-D objective error :  0.0000000000e+00\nHiGHS run time      :          0.00\n",
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        {
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          "case_id": "quadratic-zero-contradiction",
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          "identity": {
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              "execution": {
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                "statuses": {
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              },
              "iterations": {
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                "kind": "simplex",
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          },
          "observation_token": "5763891647518420808",
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          "registry": {
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          "result": {
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            "family": {
              "available": false,
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                "relative_tolerance": 1e-08,
                "subject": {
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                "verifier": {
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              "duration_ns": 1100,
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                "kind": "qp",
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          "purpose": "measurement",
          "registry": {
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                "relative_tolerance": 1e-08,
                "subject": {
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              },
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            "family": {
              "available": false,
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            "objective_unavailable_reason": null,
            "original_objective": 0.0,
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              0.0
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            "primal_residuals": {
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                "absolute_tolerance": 1e-08,
                "relative_tolerance": 1e-08,
                "subject": {
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                },
                "verifier": {
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              },
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            "raw_diagnostics": "adapter.version=1.0.0+highs.1.11.0\nnative.version=1.11.0\nnative.archive_sha256=2b44b074cf41439325ce4d0bbdac2d51379f56faf17ba15320a410d3c1f07275\nprogram.original=quadratic-unbounded\nprogram.solver=quadratic-unbounded\nprofile.maximum_variables=4096\nprofile.highs_int_bits=32\noptions.qp_nullspace_limit=4096\noptions.qp_regularization_value=0\noptions.use_warm_start=true\noptions.presolve=off\noptions.threads=1\noptions.parallel=off\noptions.small_matrix_value=1e-12\noptions.infinite_bound=inf\noptions.infinite_cost=inf\noptions.large_matrix_value=inf\noptions.native_tolerance=1e-08\noptions.feasibility_iteration_limit=2147483647\noptions.qp_iteration_limit=2147483647\nmodel.private_free_row=true\nmodel.original_rows=0\nmodel.native_rows=1\nphase.feasibility.time_limit=inf\nphase.feasibility.api_status=0\nphase.feasibility.model_status=7\nphase.feasibility.iterations=0\nstart.valid=true\nstart.default_fallback=false\nphase.qp.time_limit=inf\nphase.qp.api_status=0\nphase.qp.model_status=10\nphase.qp.iterations=2\nobjective.original=0\nobjective.solver=0\ndual.private_free_row=0\ncheck.rows.violation=0\ncheck.rows.scale=1\ncheck.variables.violation=0\ncheck.variables.scale=1\ncheck.stationarity.violation=1\ncheck.stationarity.scale=1\ncheck.signs.violation=0\ncheck.signs.scale=1\ncheck.complementarity.violation=0\ncheck.complementarity.scale=1\ncertificates=unavailable\nbounds=unavailable\nbasis=unavailable\nfamilies=unavailable\nnative.log:\nRunning HiGHS 1.11.0 (git hash: n/a): Copyright (c) 2025 HiGHS under MIT licence terms\nLP   has 1 rows; 2 cols; 1 nonzeros\nCoefficient ranges:\n  Matrix [1e+00, 1e+00]\n  Cost   [0e+00, 0e+00]\n  Bound  [0e+00, 0e+00]\n  RHS    [0e+00, 0e+00]\nSolving LP without presolve, or with basis, or unconstrained\nModel status        : Optimal\nObjective value     :  0.0000000000e+00\nP-D objective error :  0.0000000000e+00\nHiGHS run time      :          0.00\nRunning HiGHS 1.11.0 (git hash: n/a): Copyright (c) 2025 HiGHS under MIT licence terms\nQP   has 1 rows; 2 cols; 1 matrix nonzeros; 2 Hessian nonzeros\nCoefficient ranges:\n  Matrix [1e+00, 1e+00]\n  Cost   [1e+00, 1e+00]\n  Bound  [0e+00, 0e+00]\n  RHS    [0e+00, 0e+00]\n  Iteration        Objective     NullspaceDim\n          0                0                1      0.00s\nModel status        : Unbounded\nQP ASM    iterations: 2\nObjective value     :  0.0000000000e+00\nP-D objective error :  0.0000000000e+00\nHiGHS run time      :          0.00\n",
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            "primal_residuals": {
              "context": {
                "absolute_tolerance": 1e-08,
                "relative_tolerance": 1e-08,
                "subject": {
                  "problem": "convex-report-literals",
                  "program": "quadratic-boundary"
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                "verifier": {
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                  "version": "1"
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              "rows": {
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              "variables": {
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                "violation": 0.0
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            "raw_diagnostics": "adapter.version=1.0.0+highs.1.11.0\nnative.version=1.11.0\nnative.archive_sha256=2b44b074cf41439325ce4d0bbdac2d51379f56faf17ba15320a410d3c1f07275\nprogram.original=quadratic-boundary\nprogram.solver=quadratic-boundary\nprofile.maximum_variables=4096\nprofile.highs_int_bits=32\noptions.qp_nullspace_limit=4096\noptions.qp_regularization_value=0\noptions.use_warm_start=true\noptions.presolve=off\noptions.threads=1\noptions.parallel=off\noptions.small_matrix_value=1e-12\noptions.infinite_bound=inf\noptions.infinite_cost=inf\noptions.large_matrix_value=inf\noptions.native_tolerance=1e-08\noptions.feasibility_iteration_limit=2147483647\noptions.qp_iteration_limit=2147483647\nmodel.private_free_row=true\nmodel.original_rows=0\nmodel.native_rows=1\nphase.feasibility.time_limit=inf\nphase.feasibility.api_status=0\nphase.feasibility.model_status=7\nphase.feasibility.iterations=0\nstart.valid=true\nstart.default_fallback=false\nphase.qp.time_limit=inf\nphase.qp.api_status=0\nphase.qp.model_status=7\nphase.qp.iterations=2\nobjective.original=1\nobjective.solver=1\ndual.private_free_row=0\ncheck.rows.violation=0\ncheck.rows.scale=1\ncheck.variables.violation=0\ncheck.variables.scale=2\ncheck.stationarity.violation=0\ncheck.stationarity.scale=4\ncheck.signs.violation=0\ncheck.signs.scale=2\ncheck.complementarity.violation=0\ncheck.complementarity.scale=4\ncertificates=unavailable\nbounds=unavailable\nbasis=unavailable\nfamilies=unavailable\nnative.log:\nRunning HiGHS 1.11.0 (git hash: n/a): Copyright (c) 2025 HiGHS under MIT licence terms\nLP   has 1 rows; 1 cols; 1 nonzeros\nCoefficient ranges:\n  Matrix [1e+00, 1e+00]\n  Cost   [0e+00, 0e+00]\n  Bound  [2e+00, 2e+00]\n  RHS    [0e+00, 0e+00]\nSolving LP without presolve, or with basis, or unconstrained\nModel status        : Optimal\nObjective value     :  0.0000000000e+00\nP-D objective error :  0.0000000000e+00\nHiGHS run time      :          0.00\nRunning HiGHS 1.11.0 (git hash: n/a): Copyright (c) 2025 HiGHS under MIT licence terms\nQP   has 1 rows; 1 cols; 1 matrix nonzeros; 1 Hessian nonzeros\nCoefficient ranges:\n  Matrix [1e+00, 1e+00]\n  Cost   [6e+00, 6e+00]\n  Bound  [2e+00, 2e+00]\n  RHS    [0e+00, 0e+00]\n  Iteration        Objective     NullspaceDim\n          0                9                0      0.00s\n          2                1                0      0.00s\nModel status        : Optimal\nQP ASM    iterations: 2\nObjective value     :  1.0000000000e+00\nP-D objective error :  0.0000000000e+00\nHiGHS run time      :          0.00\n",
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          "timings": {
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        {
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          "case_id": "quadratic-equality",
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          "identity": {
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          "native_phases": {
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              "execution": {
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              },
              "iterations": {
                "available": true,
                "kind": "simplex",
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              "iterations": {
                "available": true,
                "kind": "qp",
                "reason": null,
                "value": 3
              }
            }
          },
          "observation_token": "12768847551515014919",
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          "purpose": "measurement",
          "registry": {
            "actual": {
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              "version": "1.0.0+highs.1.11.0"
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            "requested": "csl.convex.highs"
          },
          "result": {
            "bounds": {
              "lower": null,
              "upper": null
            },
            "dual_residuals": {
              "complementarity": {
                "scale": 6.0,
                "violation": 0.0
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              "context": {
                "absolute_tolerance": 1e-08,
                "relative_tolerance": 1e-08,
                "subject": {
                  "problem": "convex-report-literals",
                  "program": "quadratic-equality"
                },
                "verifier": {
                  "id": "csl.convex.highs.kkt",
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              "signs": {
                "scale": 3.0,
                "violation": 0.0
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              "stationarity": {
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                "violation": 0.0
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            },
            "family": {
              "available": false,
              "reason": "point only"
            },
            "objective_unavailable_reason": null,
            "original_objective": 4.5,
            "outcome": "optimal",
            "primal": [
              0.5,
              1.5
            ],
            "primal_residuals": {
              "context": {
                "absolute_tolerance": 1e-08,
                "relative_tolerance": 1e-08,
                "subject": {
                  "problem": "convex-report-literals",
                  "program": "quadratic-equality"
                },
                "verifier": {
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              },
              "rows": {
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              "variables": {
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            "raw_diagnostics": "adapter.version=1.0.0+highs.1.11.0\nnative.version=1.11.0\nnative.archive_sha256=2b44b074cf41439325ce4d0bbdac2d51379f56faf17ba15320a410d3c1f07275\nprogram.original=quadratic-equality\nprogram.solver=quadratic-equality\nprofile.maximum_variables=4096\nprofile.highs_int_bits=32\noptions.qp_nullspace_limit=4096\noptions.qp_regularization_value=0\noptions.use_warm_start=true\noptions.presolve=off\noptions.threads=1\noptions.parallel=off\noptions.small_matrix_value=1e-12\noptions.infinite_bound=inf\noptions.infinite_cost=inf\noptions.large_matrix_value=inf\noptions.native_tolerance=1e-08\noptions.feasibility_iteration_limit=2147483647\noptions.qp_iteration_limit=2147483647\nmodel.private_free_row=false\nmodel.original_rows=1\nmodel.native_rows=1\nphase.feasibility.time_limit=inf\nphase.feasibility.api_status=0\nphase.feasibility.model_status=7\nphase.feasibility.iterations=1\nstart.valid=true\nstart.default_fallback=false\nphase.qp.time_limit=inf\nphase.qp.api_status=0\nphase.qp.model_status=7\nphase.qp.iterations=3\nobjective.original=4.5\nobjective.solver=4.5\ncheck.rows.violation=0\ncheck.rows.scale=2\ncheck.variables.violation=0\ncheck.variables.scale=1.5\ncheck.stationarity.violation=0\ncheck.stationarity.scale=6\ncheck.signs.violation=0\ncheck.signs.scale=3\ncheck.complementarity.violation=0\ncheck.complementarity.scale=6\ncertificates=unavailable\nbounds=unavailable\nbasis=unavailable\nfamilies=unavailable\nnative.log:\nRunning HiGHS 1.11.0 (git hash: n/a): Copyright (c) 2025 HiGHS under MIT licence terms\nLP   has 1 rows; 2 cols; 2 nonzeros\nCoefficient ranges:\n  Matrix [1e+00, 1e+00]\n  Cost   [0e+00, 0e+00]\n  Bound  [0e+00, 0e+00]\n  RHS    [2e+00, 2e+00]\nSolving LP without presolve, or with basis, or unconstrained\nUsing EKK dual simplex solver - serial\n  Iteration        Objective     Infeasibilities num(sum)\n          0     0.0000000000e+00 Pr: 1(2); Du: 0(2.3388e-13) 0s\n          1     0.0000000000e+00 Pr: 0(0) 0s\nModel status        : Optimal\nSimplex   iterations: 1\nObjective value     :  0.0000000000e+00\nP-D objective error :  0.0000000000e+00\nHiGHS run time      :          0.00\nRunning HiGHS 1.11.0 (git hash: n/a): Copyright (c) 2025 HiGHS under MIT licence terms\nQP   has 1 rows; 2 cols; 2 matrix nonzeros; 3 Hessian nonzeros\nCoefficient ranges:\n  Matrix [1e+00, 1e+00]\n  Cost   [8e+00, 1e+01]\n  Bound  [0e+00, 0e+00]\n  RHS    [2e+00, 2e+00]\n  Iteration        Objective     NullspaceDim\n          0                5                1      0.00s\n          3              4.5                1      0.00s\nModel status        : Optimal\nQP ASM    iterations: 3\nObjective value     :  4.5000000000e+00\nP-D objective error :  0.0000000000e+00\nHiGHS run time      :          0.00\n",
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            "termination": "completed"
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          "round": 7,
          "sequence": 65,
          "timings": {
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              "duration_ns": 326200,
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              "duration_ns": 1800,
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            "input_publication": {
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            "public_run": {
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            "registration_preparation": {
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                "available": true,
                "kind": "qp",
                "reason": null,
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          "observation_token": "3376466157360010528",
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          "registry": {
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            "requested": "csl.convex.highs"
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            "bounds": {
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            },
            "dual_residuals": {
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                "violation": 0.0
              },
              "context": {
                "absolute_tolerance": 1e-08,
                "relative_tolerance": 1e-08,
                "subject": {
                  "problem": "convex-report-literals",
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                },
                "verifier": {
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            "family": {
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            "objective_unavailable_reason": null,
            "original_objective": 4.123105625617661,
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            "primal": [
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            "primal_residuals": {
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                "relative_tolerance": 1e-08,
                "subject": {
                  "problem": "convex-report-literals",
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                "verifier": {
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              "rows": {
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            "raw_diagnostics": "adapter.version=1.0.0+highs.1.11.0\nnative.version=1.11.0\nnative.archive_sha256=2b44b074cf41439325ce4d0bbdac2d51379f56faf17ba15320a410d3c1f07275\nprogram.original=norm-positive\nprogram.solver=norm-positive-squared\nprofile.maximum_variables=4096\nprofile.highs_int_bits=32\noptions.qp_nullspace_limit=4096\noptions.qp_regularization_value=0\noptions.use_warm_start=true\noptions.presolve=off\noptions.threads=1\noptions.parallel=off\noptions.small_matrix_value=1e-12\noptions.infinite_bound=inf\noptions.infinite_cost=inf\noptions.large_matrix_value=inf\noptions.native_tolerance=1e-08\noptions.feasibility_iteration_limit=2147483647\noptions.qp_iteration_limit=2147483647\nmodel.private_free_row=true\nmodel.original_rows=0\nmodel.native_rows=1\nphase.feasibility.time_limit=inf\nphase.feasibility.api_status=0\nphase.feasibility.model_status=7\nphase.feasibility.iterations=0\nstart.valid=true\nstart.default_fallback=false\nphase.qp.time_limit=inf\nphase.qp.api_status=0\nphase.qp.model_status=7\nphase.qp.iterations=2\nobjective.original=4.1231056256176606\nobjective.solver=17\ndual.private_free_row=0\ncheck.rows.violation=0\ncheck.rows.scale=1\ncheck.variables.violation=0\ncheck.variables.scale=2\ncheck.stationarity.violation=0\ncheck.stationarity.scale=1\ncheck.signs.violation=0\ncheck.signs.scale=1\ncheck.complementarity.violation=0\ncheck.complementarity.scale=1\ncertificates=unavailable\nbounds=unavailable\nbasis=unavailable\nfamilies=unavailable\nnative.log:\nRunning HiGHS 1.11.0 (git hash: n/a): Copyright (c) 2025 HiGHS under MIT licence terms\nLP   has 1 rows; 1 cols; 1 nonzeros\nCoefficient ranges:\n  Matrix [1e+00, 1e+00]\n  Cost   [0e+00, 0e+00]\n  Bound  [2e+00, 2e+00]\n  RHS    [0e+00, 0e+00]\nSolving LP without presolve, or with basis, or unconstrained\nModel status        : Optimal\nObjective value     :  0.0000000000e+00\nP-D objective error :  0.0000000000e+00\nHiGHS run time      :          0.00\nRunning HiGHS 1.11.0 (git hash: n/a): Copyright (c) 2025 HiGHS under MIT licence terms\nQP   has 1 rows; 1 cols; 1 matrix nonzeros; 1 Hessian nonzeros\nCoefficient ranges:\n  Matrix [1e+00, 1e+00]\n  Cost   [6e+00, 6e+00]\n  Bound  [2e+00, 2e+00]\n  RHS    [0e+00, 0e+00]\n  Iteration        Objective     NullspaceDim\n          0               25                0      0.00s\n          2               17                0      0.00s\nModel status        : Optimal\nQP ASM    iterations: 2\nObjective value     :  1.7000000000e+01\nP-D objective error :  0.0000000000e+00\nHiGHS run time      :          0.00\n",
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                "relative_tolerance": 1e-08,
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            "raw_diagnostics": "adapter.version=1.0.0+highs.1.11.0\nnative.version=1.11.0\nnative.archive_sha256=2b44b074cf41439325ce4d0bbdac2d51379f56faf17ba15320a410d3c1f07275\nprogram.original=quadratic-zero-row\nprogram.solver=quadratic-zero-row\nprofile.maximum_variables=4096\nprofile.highs_int_bits=32\noptions.qp_nullspace_limit=4096\noptions.qp_regularization_value=0\noptions.use_warm_start=true\noptions.presolve=off\noptions.threads=1\noptions.parallel=off\noptions.small_matrix_value=1e-12\noptions.infinite_bound=inf\noptions.infinite_cost=inf\noptions.large_matrix_value=inf\noptions.native_tolerance=1e-08\noptions.feasibility_iteration_limit=2147483647\noptions.qp_iteration_limit=2147483647\nmodel.private_free_row=true\nmodel.original_rows=1\nmodel.native_rows=2\nphase.feasibility.time_limit=inf\nphase.feasibility.api_status=0\nphase.feasibility.model_status=7\nphase.feasibility.iterations=0\nstart.valid=true\nstart.default_fallback=false\nphase.qp.time_limit=inf\nphase.qp.api_status=0\nphase.qp.model_status=7\nphase.qp.iterations=2\nobjective.original=0\nobjective.solver=0\ndual.private_free_row=0\ncheck.rows.violation=0\ncheck.rows.scale=1\ncheck.variables.violation=0\ncheck.variables.scale=5\ncheck.stationarity.violation=0\ncheck.stationarity.scale=1\ncheck.signs.violation=0\ncheck.signs.scale=1\ncheck.complementarity.violation=0\ncheck.complementarity.scale=1\ncertificates=unavailable\nbounds=unavailable\nbasis=unavailable\nfamilies=unavailable\nnative.log:\nRunning HiGHS 1.11.0 (git hash: n/a): Copyright (c) 2025 HiGHS under MIT licence terms\nLP   has 2 rows; 1 cols; 1 nonzeros\nCoefficient ranges:\n  Matrix [1e+00, 1e+00]\n  Cost   [0e+00, 0e+00]\n  Bound  [1e+00, 5e+00]\n  RHS    [0e+00, 0e+00]\nSolving LP without presolve, or with basis, or unconstrained\nModel status        : Optimal\nObjective value     :  0.0000000000e+00\nP-D objective error :  0.0000000000e+00\nHiGHS run time      :          0.00\nRunning HiGHS 1.11.0 (git hash: n/a): Copyright (c) 2025 HiGHS under MIT licence terms\nQP   has 2 rows; 1 cols; 1 matrix nonzeros; 1 Hessian nonzeros\nCoefficient ranges:\n  Matrix [1e+00, 1e+00]\n  Cost   [6e+00, 6e+00]\n  Bound  [1e+00, 5e+00]\n  RHS    [0e+00, 0e+00]\n  Iteration        Objective     NullspaceDim\n          0                4                0      0.00s\n          2                0                1      0.00s\nModel status        : Optimal\nQP ASM    iterations: 2\nObjective value     :  0.0000000000e+00\nP-D objective error :  0.0000000000e+00\nHiGHS run time      :          0.00\n",
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                "relative_tolerance": 1e-08,
                "subject": {
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                "verifier": {
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            "primal_residuals": {
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                "relative_tolerance": 1e-08,
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                "subject": {
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                "relative_tolerance": 1e-08,
                "subject": {
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            "family": {
              "available": false,
              "reason": "point only"
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                "relative_tolerance": 1e-08,
                "subject": {
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