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GPT-6.1 Sol (effort default (no reasoning-effort override) · thinking on) on Resolve package versions with a specified backtracking procedure (caret and OR constraints, yanked versions, numeric ordering)

OGPT-6.1 Soldefault · thinking on · Codex CLI 0.163.0 (codex exec --json) · cloud · 2026-10-22 · by @bobsiopener

Trust 80%Fully autonomoussuccess · first try
Estimated cost
$0.06
Wall time
54s
Human step-ins
0
Outcome
Pass

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Summary

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# Resolve package versions with backtracking Our offline package mirror needs to pick one version of every package a project needs. `resolve.py` is a greedy draft that picks the newest version of everything and ignores constraints. Rewrite `resolve(index, root)` (Python 3 stdlib only) to follow this spec exactly. Example data: `index.json`, `root.json`; for them the answer is `{"esc": "0.3.1", "http": "2.6.0", "tls": "1.9.0", "tmpl": "1.5.0", "web": "2.0.0"}`. ## Data - `index`: `{package: {version_string: info}}`, `info` is `null`/`{}` or has optional `"deps": {package: constraint}` and `"yanked": true|false`. - `root`: `{package: constraint}`. - Versions are 1-3 dot-separated non-negative integers; missing parts are 0 (`1.2` = `1.2.0`) and comparison is numeric (`1.10.0 > 1.9.0`). Returned versions use the exact strings from the index. (No index has two keys of the same package with equal numeric value.) ## Constraints 1. A constraint is one or more alternatives separated by `||`; it is satisfied if **any** alternative is. An alternative is terms separated by `,`; it is satisfied if **all** terms are. Spaces around terms and between an operator and its version are allowed. 2. Terms: `==V`, `!=V`, `>=V`, `<=V`, `>V`, `<V`, `^V`, and `*` (or an empty term), which matches everything. `^V` means `>=V` and `<` the next version that increases the first non-zero part of V: `^1.4` -> `<2.0.0`, `^0.3.1` -> `<0.4.0`, `^0.0.5` -> `<0.0.6`, `^0` / `^0.0.0` -> `<0.0.1`. 3. Anything else is invalid and raises `ValueError`. Root constraints are checked before any resolving starts. ## Algorithm (the result must equal what this procedure returns) 4. State: a set of **decisions** (package -> version) and, for every package, the list of constraints currently imposed on it (from `root` and from the deps of decided versions). 5. Step: among packages that have at least one constraint and no decision, take the **alphabetically smallest**. If there is none, the decisions are the answer. If that package is not in the index, this step fails. 6. Candidates are its versions from **highest to lowest** that satisfy **every** constraint on it. A **yanked** version is skipped unless one of the constraints on that package contains a term `==V` with V numerically equal to that version (in any alternative). 7. Trying a candidate: impose its deps' constraints. The candidate fails immediately if a dep package is not in the index, or if a dep's constraint is not satisfied by an existing decision for that dep. Otherwise record the decision and continue with step 5. If everything below fails, undo this candidate (its decision and the constraints it added) and try the next candidate. 8. If all candidates fail, this step fails and the previous decision is undone (backtracking). If the very first step fails, raise `ResolutionError` (keep that class in the module). 9. Return a dict of decisions with keys in sorted order (packages never constrained are not included). 10. **Speed:** each hidden index (up to 60 packages x 12 versions, needing up to a few thousand candidate tries) must resolve within 10 seconds on our shared box. ## Scoring Hidden check groups (partial credit = fraction passed; all must pass): `operators_numeric` (1-2, numeric comparison), `caret_and_or` (1-2), `invalid_constraints` (3), `yanked_rules` (6), `backtracking` (7-8), `missing_and_unsat` (5, 7, 8), `order_determinism` (5-6), `fixture_answer`, `randomized_agreement` (300 random small indexes: same result or both `ResolutionError`), `deep_backtracking` (10).

Result must equal a fully specified DFS (alphabetical decision order, highest-first, immediate failure on decided conflicts, yanked-unless-pinned); caret rules for 0.x and OR alternatives, 300 random indexes and deeper 60-package indexes. Original benchmark task written for usecaserank.com. Headless, offline run on a reproducible fixture. Cost shown is a list-price API-equivalent estimate (run on a ChatGPT subscription, not billed).

Success criteria: 1. operators_numeric 2. caret_and_or 3. invalid_constraints 4. yanked_rules 5. backtracking 6. missing_and_unsat 7. order_determinism 8. fixture_answer 9. randomized_agreement (300 indexes) 10. deep_backtracking (< 10 s each)

Setup notes: Use Case Scout batch8 case i06-dependency-resolver (offline fixture). Prepared with batch8/prepare.sh on the shared box; only TASK.md + starting files were copied to the agent machine, hidden key/tests stayed on the box. Prompt = TASK.md verbatim on stdin. Flags: --json -s workspace-write --skip-git-repo-check --ephemeral --ignore-user-config --ignore-rules -C <workdir>. Scored on the box with the scout's scorer: `python score.py WORKDIR KEYDIR`. Single run, no retries. User-level AGENTS.md (846 bytes, sha256 83ec4fe50da8) may have been in context; --ignore-user-config does not document excluding it. Serving model not confirmed: requested via -m; the event log does not echo the serving model id. Price source is secondary (pricing.json verification='secondary', https://www.actuia.com/en/news/ai-api-pricing-in-october-2026-050-to-50-for-output/), not an official OpenAI price page. Score: 10/10. Cost is an ESTIMATE: measured tokens x pricing.json list price (ChatGPT plan, nothing billed); input_tokens include cached reads; output_tokens include reasoning tokens. Tool calls 4 (1 failed, recovered). Single run.

Estimated cost List-price estimate; not actually billed.

Metrics

Estimated cost
$0.06
Wall time
54s
Human step-ins
0
Turns
1
Model usage
ModelInput tokOutput tokCost
OGPT-6.1 Solopenai/gpt-6.1-soleffort default (no reasoning-effort override) · thinking on84,6002,692$0.06

Reproduce this run

  1. Use the use case prompt on the use case page.
  2. Same setup: GPT-6.1 Sol (openai/gpt-6.1-sol, effort default (no reasoning-effort override) · thinking on) via Codex CLI 0.163.0 (codex exec --json), cloud.
  3. It counts as a success only if it meets every success criterion: 1. operators_numeric 2. caret_and_or 3. invalid_constraints 4. yanked_rules 5. backtracking 6. missing_and_unsat 7. order_determinism 8. fixture_answer 9. randomized_agreement (300 indexes) 10. deep_backtracking (< 10 s each)
  4. Log model, tokens, wall time, human step-ins and the evidence log, then submit it as a reproduction. A different model? Submit a head-to-head rerun.

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Evidence log
{"type": "thread.started", "thread_id": "01a16456-2530-76c3-b71a-a82e095d95d9"}
{"type": "turn.started"}
{"type": "item.completed", "item": {"id": "item_0", "type": "agent_message", "text": "I\u2019ll inspect the draft and fixtures, implement the specified backtracking order, and verify the constraint and rollback rules."}}
{"type": "item.started", "item": {"id": "item_1", "type": "command_execution", "command": "/bin/bash -lc \"pwd; rg --files -g 'AGENTS.md' -g '*.py' -g '*.json'\"", "aggregated_output": "", "exit_code": null, "status": "in_progress"}}
{"type": "item.completed", "item": {"id": "item_1", "type": "command_execution", "command": "/bin/bash -lc \"pwd; rg --files -g 'AGENTS.md' -g '*.py' -g '*.json'\"", "aggregated_output": "/home/bob/usecase-runs/batch/out/gpt-6.1-sol/197_i06/work\nresolve.py\nindex.json\nroot.json\n", "exit_code": 0, "status": "completed"}}
{"type": "item.started", "item": {"id": "item_2", "type": "command_execution", "command": "/bin/bash -lc 'cat resolve.py index.json root.json'", "aggregated_output": "", "exit_code": null, "status": "in_progress"}}
{"type": "item.completed", "item": {"id": "item_2", "type": "command_execution", "command": "/bin/bash -lc 'cat resolve.py index.json root.json'", "aggregated_output": "\"\"\"Pick package versions for our offline mirror. Spec: TASK.md. Draft: greedy, no backtracking.\"\"\"\nimport json, sys\nclass ResolutionError(Exception): pass\ndef resolve(index, root):\n    out = {}; todo = list(root)\n    while todo:\n        n = todo.pop(0)\n        if n in out: continue\n        v = max(index[n], key=lambda s: [int(x) for x in s.split(\".\")])\n        out[n] = v; todo += list((index[n][v] or {}).get(\"deps\", {}))\n    return dict(sorted(out.items()))\n{\n \"web\":  {\"2.1.0\": {\"deps\": {\"http\": \">=3.0\", \"tmpl\": \"^1.4\"}}, \"2.0.0\": {\"deps\": {\"http\": \">=2.5,<3.0\", \"tmpl\": \"^1.2\"}}},\n \"http\": {\"3.1.0\": {\"deps\": {\"tls\": \">=2.0\"}}, \"3.0.0\": {\"deps\": {\"tls\": \">=2.0\"}, \"yanked\": true}, \"2.6.0\": {\"deps\": {\"tls\": \"^1.0\"}}},\n \"tmpl\": {\"1.5.0\": {\"deps\": {\"esc\": \"==0.3.1 || >=1.0\"}}, \"1.4.2\": {}, \"1.2.0\": {}},\n \"tls\":  {\"2.2.0\": {\"deps\": {\"libc\": \">=5\"}}, \"2.0.1\": {}, \"1.9.0\": {}},\n \"esc\":  {\"1.0.0\": {\"yanked\": true}, \"0.3.1\": {}},\n \"libc\": {\"4.0.0\": {}}\n}\n{\"web\": \"*\", \"tls\": \"!=2.0.1\"}\n", "exit_code": 0, "status": "completed"}}
{"type": "item.started", "item": {"id": "item_3", "type": "command_execution", "command": "/bin/bash -lc \"cat > resolve.py <<'PY'\n\\\"\\\"\\\"Deterministic, backtracking version resolution for an offline mirror.\\\"\\\"\\\"\n\nimport re\nfrom functools import lru_cache\n\n\nclass ResolutionError(Exception):\n    \\\"\\\"\\\"No assignment could be found by the resolution procedure.\\\"\\\"\\\"\n\n\n_VERSION = re.compile(r\\\"[0-9]+(?:\\\\.[0-9]+){0,2}\\\\Z\\\")\n_TERM = re.compile(r\\\"(==|\"'!=|>=|<=|>|<|'\"\\\\\"'^)'\"\\\\s*([0-9]+(?:\\\\.[0-9]+){0,2})\\\\Z\\\")\n\n\ndef _version(value):\n    if not isinstance(value, str) or not _VERSION.fullmatch(value):\n        raise ValueError(\\\"Invalid version: %r\\\" % (value,))\n    parts = tuple(int(part) for part in value.split('.'))\n    return parts + (0,) * (3 - len(parts))\n\n\n@lru_cache(maxsize=8192)\ndef _parse(constraint):\n    if not isinstance(constraint, str):\n        raise ValueError(\\\"Invalid constraint: %r\\\" % (constraint,))\n    alternatives = []\n    pins = set()\n    for alternative in constraint.split('||'):\n        terms = []\n        for raw in alternative.split(','):\n            term = raw.strip()\n            if term in ('', '*'):\n                continue\n            match = _TERM.fullmatch(term)\n            if match is None:\n                raise ValueError(\\\"Invalid constraint term: %r\\\" % term)\n            operator, literal = match.groups()\n            version = _version(literal)\n            if operator == '==':\n                pins.add(version)\n            if operator == '\"'^'\"':\n                upper = list(version)\n                position = next((i for i, part in enumerate(version) if part), 2)\n                upper[position] += 1\n                upper[position + 1:] = [0] * (2 - position)\n                terms.extend((('>=', version), ('<', tuple(upper))))\n            else:\n                terms.append((operator, version))\n        alternatives.append(tuple(terms))\n    return tuple(alternatives), frozenset(pins)\n\n\ndef _matches(version, parsed):\n    for terms in parsed[0]:\n        for operator, bound in terms:\n            if operator == '==':\n                ok = version == bound\n            elif operator == '\"'!='\"':\n                ok = version \"'!= bound\n            elif operator == '\"'>=':\n                ok = version >= bound\n            elif operator == '<=':\n                ok = version <= bound\n            elif operator == '>':\n                ok = version > bound\n            else:\n                ok = version < bound\n            if not ok:\n                break\n        else:\n            return True\n    return False\n\n\ndef resolve(index, root):\n    \\\"\\\"\\\"Resolve using alphabetical package order and descending version order.\n\n    Dependency constraints are parsed when their candidate is tried. Root\n    constraints are all validated before inspecting the index.\n    \\\"\\\"\\\"\n    constraints = {name: [_parse(value)] for name, value in root.items()}\n    decisions = {}\n    numeric_decisions = {}\n    versions = {}\n\n    def search():\n        pending = constraints.keys() - decisions.keys()\n        if not pending:\n            return True\n        name = min(pending)\n        if name not in index:\n            return False\n        if name not in versions:\n            versions[name] = sorted(\n                ((_version(key), key, info or {})\n                 for key, info in index[name].items()),\n                reverse=True,\n                key=lambda entry: entry[0],\n            )\n        imposed = constraints[name]\n        for number, key, info in versions[name]:\n            if info.get('yanked', False) and not any(\n                number in parsed[1] for parsed in imposed\n            ):\n                continue\n            if not all(_matches(number, parsed) for parsed in imposed):\n                continue\n\n            added = []\n            failed = False\n            for dep, value in info.get('deps', {}).items():\n                parsed = _parse(value)\n                constraints.setdefault(dep, []).append(parsed)\n                added.append(dep)\n                if dep not in index or (\n                    dep in decisions and not _matches(numeric_decisions[dep], parsed)\n                ):\n                    failed = True\n                    break\n\n            if not failed:\n                decisions[name] = key\n                numeric_decisions[name] = number\n                if search():\n                    return True\n                del decisions[name]\n                del numeric_decisions[name]\n\n            for dep in reversed(added):\n                constraints[dep].pop()\n                if not constraints[dep]:\n                    del constraints[dep]\n        return False\n\n    if not search():\n        raise ResolutionError('No compatible package versions')\n    return dict(sorted(decisions.items()))\nPY\npython - <<'PY'\nimport json\nfrom resolve import resolve\nwith open('index.json') as f: index = json.load(f)\nwith open('root.json') as f: root = json.load(f)\nprint(resolve(index, root))\nPY\"", "aggregated_output": "", "exit_code": null, "status": "in_progress"}}
{"type": "item.completed", "item": {"id": "item_3", "type": "command_execution", "command": "/bin/bash -lc \"cat > resolve.py <<'PY'\n\\\"\\\"\\\"Deterministic, backtracking version resolution for an offline mirror.\\\"\\\"\\\"\n\nimport re\nfrom functools import lru_cache\n\n\nclass ResolutionError(Exception):\n    \\\"\\\"\\\"No assignment could be found by the resolution procedure.\\\"\\\"\\\"\n\n\n_VERSION = re.compile(r\\\"[0-9]+(?:\\\\.[0-9]+){0,2}\\\\Z\\\")\n_TERM = re.compile(r\\\"(==|\"'!=|>=|<=|>|<|'\"\\\\\"'^)'\"\\\\s*([0-9]+(?:\\\\.[0-9]+){0,2})\\\\Z\\\")\n\n\ndef _version(value):\n    if not isinstance(value, str) or not _VERSION.fullmatch(value):\n        raise ValueError(\\\"Invalid version: %r\\\" % (value,))\n    parts = tuple(int(part) for part in value.split('.'))\n    return parts + (0,) * (3 - len(parts))\n\n\n@lru_cache(maxsize=8192)\ndef _parse(constraint):\n    if not isinstance(constraint, str):\n        raise ValueError(\\\"Invalid constraint: %r\\\" % (constraint,))\n    alternatives = []\n    pins = set()\n    for alternative in constraint.split('||'):\n        terms = []\n        for raw in alternative.split(','):\n            term = raw.strip()\n            if term in ('', '*'):\n                continue\n            match = _TERM.fullmatch(term)\n            if match is None:\n                raise ValueError(\\\"Invalid constraint term: %r\\\" % term)\n            operator, literal = match.groups()\n            version = _version(literal)\n            if operator == '==':\n                pins.add(version)\n            if operator == '\"'^'\"':\n                upper = list(version)\n                position = next((i for i, part in enumerate(version) if part), 2)\n                upper[position] += 1\n                upper[position + 1:] = [0] * (2 - position)\n                terms.extend((('>=', version), ('<', tuple(upper))))\n            else:\n                terms.append((operator, version))\n        alternatives.append(tuple(terms))\n    return tuple(alternatives), frozenset(pins)\n\n\ndef _matches(version, parsed):\n    for terms in parsed[0]:\n        for operator, bound in terms:\n            if operator == '==':\n                ok = version == bound\n            elif operator == '\"'!='\"':\n                ok = version \"'!= bound\n            elif operator == '\"'>=':\n                ok = version >= bound\n            elif operator == '<=':\n                ok = version <= bound\n            elif operator == '>':\n                ok = version > bound\n            else:\n                ok = version < bound\n            if not ok:\n                break\n        else:\n            return True\n    return False\n\n\ndef resolve(index, root):\n    \\\"\\\"\\\"Resolve using alphabetical package order and descending version order.\n\n    Dependency constraints are parsed when their candidate is tried. Root\n    constraints are all validated before inspecting the index.\n    \\\"\\\"\\\"\n    constraints = {name: [_parse(value)] for name, value in root.items()}\n    decisions = {}\n    numeric_decisions = {}\n    versions = {}\n\n    def search():\n        pending = constraints.keys() - decisions.keys()\n        if not pending:\n            return True\n        name = min(pending)\n        if name not in index:\n            return False\n        if name not in versions:\n            versions[name] = sorted(\n                ((_version(key), key, info or {})\n                 for key, info in index[name].items()),\n                reverse=True,\n                key=lambda entry: entry[0],\n            )\n        imposed = constraints[name]\n        for number, key, info in versions[name]:\n            if info.get('yanked', False) and not any(\n                number in parsed[1] for parsed in imposed\n            ):\n                continue\n            if not all(_matches(number, parsed) for parsed in imposed):\n                continue\n\n            added = []\n            failed = False\n            for dep, value in info.get('deps', {}).items():\n                parsed = _parse(value)\n                constraints.setdefault(dep, []).append(parsed)\n                added.append(dep)\n                if dep not in index or (\n                    dep in decisions and not _matches(numeric_decisions[dep], parsed)\n                ):\n                    failed = True\n                    break\n\n            if not failed:\n                decisions[name] = key\n                numeric_decisions[name] = number\n                if search():\n                    return True\n                del decisions[name]\n                del numeric_decisions[name]\n\n            for dep in reversed(added):\n                constraints[dep].pop()\n                if not constraints[dep]:\n                    del constraints[dep]\n        return False\n\n    if not search():\n        raise ResolutionError('No compatible package versions')\n    return dict(sorted(decisions.items()))\nPY\npython - <<'PY'\nimport json\nfrom resolve import resolve\nwith open('index.json') as f: index = json.load(f)\nwith open('root.json') as f: root = json.load(f)\nprint(resolve(index, root))\nPY\"", "aggregated_output": "/bin/bash: line 140: python: command not found\n", "exit_code": 127, "status": "failed"}}
{"type": "item.started", "item": {"id": "item_4", "type": "command_execution", "command": "/bin/bash -lc \"python3 - <<'PY'\np='resolve.py'\ns=open(p).read().replace('@lru_cache(maxsize=8192)\\\\ndef _parse(constraint):\\\\n', 'def _parse(constraint):\\\\n').replace('    alternatives = []\\\\n', '    return _parse_string(constraint)\\\\n\\\\n\\\\n@lru_cache(maxsize=8192)\\\\ndef _parse_string(constraint):\\\\n    alternatives = []\\\\n',1)\nopen(p,'w').write(s)\nPY\ncat > test_resolve.py <<'PY'\nimport json\nimport unittest\n\nfrom resolve import ResolutionError, _matches, _parse, _version, resolve\n\n\nclass ResolverTests(unittest.TestCase):\n    def test_fixture(self):\n        with open('index.json') as stream:\n            index = json.load(stream)\n        with open('root.json') as stream:\n            root = json.load(stream)\n        self.assertEqual(resolve(index, root), {\n            'esc': '0.3.1', 'http': '2.6.0', 'tls': '1.9.0',\n            'tmpl': '1.5.0', 'web': '2.0.0',\n        })\n\n    def test_constraints(self):\n        cases = [\n            ('1.10', '>1.9, <= 1.10.0', True),\n            ('1.2', '==1.2.0', True),\n            ('1.2', '\"'!=1.2.0'\"', False),\n            ('2', '<1 || >=2, <3', True),\n            ('0.3.9', '\"'^0.3.1'\"', True),\n            ('0.4', '\"'^0.3.1'\"', False),\n            ('2', '\"'^1.4'\"', False),\n            ('0.0.6', '\"'^0.0.5'\"', False),\n            ('0', '\"'^0'\"', True),\n            ('0.0.1', '\"'^0.0.0'\"', False),\n            ('999', ' , *', True),\n        ]\n        for version, constraint, expected in cases:\n            with self.subTest(constraint=constraint, version=version):\n                self.assertEqual(_matches(_version(version), _parse(constraint)), expected)\n\n    def test_invalid_roots_before_resolution(self):\n        for value in ['1', '=1', '~1', '>=-1', '==[REDACTED:ipv4]', '==1 x', '*1', '>=', None, []]:\n            with self.subTest(value=value), self.assertRaises(ValueError):\n                resolve({}, {'missing': '*', 'z': value})\n\n    def test_backtracking_and_rollback(self):\n        index = {\n            'a': {'2': {'deps': {'b': '==2', 'orphan': '*'}},\n                  '1': {'deps': {'b': '==1'}}},\n            'b': {'2': {'deps': {'a': '<2'}}, '1': {}},\n            'orphan': {'1': {}},\n        }\n        self.assertEqual(resolve(index, {'a': '*'}), {'a': '1', 'b': '1'})\n\n    def test_yanked_pin_in_any_alternative(self):\n        index = {'a': {'2': {'yanked': True}, '1': {}}}\n        self.assertEqual(resolve(index, {'a': '*'}), {'a': '1'})\n        self.assertEqual(resolve(index, {'a': '==2.0, <1 || *'}), {'a': '2'})\n\n    def test_missing_and_unsatisfiable(self):\n        for index, root in [({}, {'a': '*'}), ({'a': {}}, {'a': '*'}),\n                             ({'a': {'1': {'deps': {'b': '*'}}}}, {'a': '*'})]:\n            with self.assertRaises(ResolutionError):\n                resolve(index, root)\n        self.assertEqual(resolve({}, {}), {})\n\n    def test_alphabetical_order_and_exact_version_strings(self):\n        index = {'z': {'2': {'deps': {'a': '==1'}}, '1': {}},\n                 'a': {'2.0': {}, '1': {}}}\n        result = resolve(index, {'z': '*', 'a': '*'})\n        self.assertEqual(list(result.items()), [('a', '2.0'), ('z', '1')])\n\n\nif __name__ == '__main__':\n    unittest.main()\nPY\npython3 -m unittest -v\"", "aggregated_output": "", "exit_code": null, "status": "in_progress"}}
{"type": "item.completed", "item": {"id": "item_4", "type": "command_execution", "command": "/bin/bash -lc \"python3 - <<'PY'\np='resolve.py'\ns=open(p).read().replace('@lru_cache(maxsize=8192)\\\\ndef _parse(constraint):\\\\n', 'def _parse(constraint):\\\\n').replace('    alternatives = []\\\\n', '    return _parse_string(constraint)\\\\n\\\\n\\\\n@lru_cache(maxsize=8192)\\\\ndef _parse_string(constraint):\\\\n    alternatives = []\\\\n',1)\nopen(p,'w').write(s)\nPY\ncat > test_resolve.py <<'PY'\nimport json\nimport unittest\n\nfrom resolve import ResolutionError, _matches, _parse, _version, resolve\n\n\nclass ResolverTests(unittest.TestCase):\n    def test_fixture(self):\n        with open('index.json') as stream:\n            index = json.load(stream)\n        with open('root.json') as stream:\n            root = json.load(stream)\n        self.assertEqual(resolve(index, root), {\n            'esc': '0.3.1', 'http': '2.6.0', 'tls': '1.9.0',\n            'tmpl': '1.5.0', 'web': '2.0.0',\n        })\n\n    def test_constraints(self):\n        cases = [\n            ('1.10', '>1.9, <= 1.10.0', True),\n            ('1.2', '==1.2.0', True),\n            ('1.2', '\"'!=1.2.0'\"', False),\n            ('2', '<1 || >=2, <3', True),\n            ('0.3.9', '\"'^0.3.1'\"', True),\n            ('0.4', '\"'^0.3.1'\"', False),\n            ('2', '\"'^1.4'\"', False),\n            ('0.0.6', '\"'^0.0.5'\"', False),\n            ('0', '\"'^0'\"', True),\n            ('0.0.1', '\"'^0.0.0'\"', False),\n            ('999', ' , *', True),\n        ]\n        for version, constraint, expected in cases:\n            with self.subTest(constraint=constraint, version=version):\n                self.assertEqual(_matches(_version(version), _parse(constraint)), expected)\n\n    def test_invalid_roots_before_resolution(self):\n        for value in ['1', '=1', '~1', '>=-1', '==[REDACTED:ipv4]', '==1 x', '*1', '>=', None, []]:\n            with self.subTest(value=value), self.assertRaises(ValueError):\n                resolve({}, {'missing': '*', 'z': value})\n\n    def test_backtracking_and_rollback(self):\n        index = {\n            'a': {'2': {'deps': {'b': '==2', 'orphan': '*'}},\n                  '1': {'deps': {'b': '==1'}}},\n            'b': {'2': {'deps': {'a': '<2'}}, '1': {}},\n            'orphan': {'1': {}},\n        }\n        self.assertEqual(resolve(index, {'a': '*'}), {'a': '1', 'b': '1'})\n\n    def test_yanked_pin_in_any_alternative(self):\n        index = {'a': {'2': {'yanked': True}, '1': {}}}\n        self.assertEqual(resolve(index, {'a': '*'}), {'a': '1'})\n        self.assertEqual(resolve(index, {'a': '==2.0, <1 || *'}), {'a': '2'})\n\n    def test_missing_and_unsatisfiable(self):\n        for index, root in [({}, {'a': '*'}), ({'a': {}}, {'a': '*'}),\n                             ({'a': {'1': {'deps': {'b': '*'}}}}, {'a': '*'})]:\n            with self.assertRaises(ResolutionError):\n                resolve(index, root)\n        self.assertEqual(resolve({}, {}), {})\n\n    def test_alphabetical_order_and_exact_version_strings(self):\n        index = {'z': {'2': {'deps': {'a': '==1'}}, '1': {}},\n                 'a': {'2.0': {}, '1': {}}}\n        result = resolve(index, {'z': '*', 'a': '*'})\n        self.assertEqual(list(result.items()), [('a', '2.0'), ('z', '1')])\n\n\nif __name__ == '__main__':\n    unittest.main()\nPY\npython3 -m unittest -v\"", "aggregated_output": "test_alphabetical_order_and_exact_version_strings (test_resolve.ResolverTests.test_alphabetical_order_and_exact_version_strings) ... ok\ntest_backtracking_and_rollback (test_resolve.ResolverTests.test_backtracking_and_rollback) ... ok\ntest_constraints (test_resolve.ResolverTests.test_constraints) ... ok\ntest_fixture (test_resolve.ResolverTests.test_fixture) ... ok\ntest_invalid_roots_before_resolution (test_resolve.ResolverTests.test_invalid_roots_before_resolution) ... ok\ntest_missing_and_unsatisfiable (test_resolve.ResolverTests.test_missing_and_unsatisfiable) ... ok\ntest_yanked_pin_in_any_alternative (test_resolve.ResolverTests.test_yanked_pin_in_any_alternative) ... ok\n\n----------------------------------------------------------------------\nRan 7 tests in 0.001s\n\nOK\n", "exit_code": 0, "status": "completed"}}
{"type": "item.completed", "item": {"id": "item_5", "type": "agent_message", "text": "Rewrote [resolve.py](resolve.py) with deterministic backtracking, numeric constraints, caret/OR support, yanked-version rules, and constraint rollback.\n\nAdded seven tests in [test_resolve.py](test_resolve.py). All pass with `python3 -m unittest -v`, including the exact fixture answer."}}
{"type": "turn.completed", "usage": {"input_tokens": 84600, "cached_input_tokens": 73728, "cache_write_input_tokens": 0, "output_tokens": 2692, "reasoning_output_tokens": 215}}

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