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GPT-6 Astra

192 / 192 checks

2026-10-243m 55s agent timelow effortSeed 42Level 1

3 / 3 projects passed both work orders.

Download full evidence

Repair an event ledger

Work order 1 · 32 / 32 · 27.2 s
contract: 8/8generated: 24/24
Code changes
--- a/src/engine.js
+++ b/src/engine.js
@@ -2,10 +2,13 @@
 function solve(input) {
   const balances={...input.balances};
   const versions=Object.fromEntries(Object.keys(balances).map(k=>[k,0]));
+  const acceptedIds=new Set();
   const receipts=input.events.map(e=>{
+    if(acceptedIds.has(e.id))return {id:e.id,status:'duplicate'};
     if(balances[e.from]<e.amount)return {id:e.id,status:'rejected'};
     balances[e.from]-=e.amount;balances[e.to]+=e.amount;
     versions[e.from]++;versions[e.to]++;
+    acceptedIds.add(e.id);
     return {id:e.id,status:'applied'};
   });
   return {balances,versions,receipts};
Submitted code

src/index.js

module.exports = require("./engine.js");

src/engine.js

// Current transfer handler. Receipts and versions are part of the public API.
function solve(input) {
  const balances={...input.balances};
  const versions=Object.fromEntries(Object.keys(balances).map(k=>[k,0]));
  const acceptedIds=new Set();
  const receipts=input.events.map(e=>{
    if(acceptedIds.has(e.id))return {id:e.id,status:'duplicate'};
    if(balances[e.from]<e.amount)return {id:e.id,status:'rejected'};
    balances[e.from]-=e.amount;balances[e.to]+=e.amount;
    versions[e.from]++;versions[e.to]++;
    acceptedIds.add(e.id);
    return {id:e.id,status:'applied'};
  });
  return {balances,versions,receipts};
}
module.exports={solve};
Agent response
Fixed the ledger to track accepted IDs. Duplicate events make no changes. Rejected IDs can be retried.

Added tests for duplicates, retries, unchanged input, empty collections, and special account names. All 6 tests passed with `node --test`.

### Next Steps

No further changes are required.
Session data
{
  "commands": 4,
  "tokens": {
    "input_tokens": 56847,
    "cached_input_tokens": 44288,
    "cache_write_input_tokens": 0,
    "output_tokens": 1570,
    "reasoning_output_tokens": 14
  },
  "integrity_errors": []
}
Work order 2 · 32 / 32 · 32.8 s
contract: 8/8generated: 16/16regression: 8/8
Code changes
--- a/src/engine.js
+++ b/src/engine.js
@@ -1,13 +1,29 @@
-// Current transfer handler. Receipts and versions are part of the public API.
 function solve(input) {
   const balances={...input.balances};
   const versions=Object.fromEntries(Object.keys(balances).map(k=>[k,0]));
   const acceptedIds=new Set();
   const receipts=input.events.map(e=>{
     if(acceptedIds.has(e.id))return {id:e.id,status:'duplicate'};
-    if(balances[e.from]<e.amount)return {id:e.id,status:'rejected'};
-    balances[e.from]-=e.amount;balances[e.to]+=e.amount;
-    versions[e.from]++;versions[e.to]++;
+    for (const account of Object.keys(e.expected || {})) {
+      if (e.expected[account] !== versions[account]) {
+        return {id:e.id,status:'rejected'};
+      }
+    }
+
+    // Keep only touched accounts in the draft. Failed moves never change state.
+    const draft = new Map();
+    const moves = e.moves === undefined ? [e] : e.moves;
+    for (const move of moves) {
+      const fromBalance = draft.has(move.from) ? draft.get(move.from) : balances[move.from];
+      if (fromBalance < move.amount) return {id:e.id,status:'rejected'};
+      const toBalance = draft.has(move.to) ? draft.get(move.to) : balances[move.to];
+      draft.set(move.from, fromBalance - move.amount);
+      draft.set(move.to, toBalance + move.amount);
+    }
+    for (const [account, balance] of draft) {
+      balances[account] = balance;
+      versions[account]++;
+    }
     acceptedIds.add(e.id);
     return {id:e.id,status:'applied'};
   });
Submitted code

src/index.js

module.exports = require("./engine.js");

src/engine.js

function solve(input) {
  const balances={...input.balances};
  const versions=Object.fromEntries(Object.keys(balances).map(k=>[k,0]));
  const acceptedIds=new Set();
  const receipts=input.events.map(e=>{
    if(acceptedIds.has(e.id))return {id:e.id,status:'duplicate'};
    for (const account of Object.keys(e.expected || {})) {
      if (e.expected[account] !== versions[account]) {
        return {id:e.id,status:'rejected'};
      }
    }

    // Keep only touched accounts in the draft. Failed moves never change state.
    const draft = new Map();
    const moves = e.moves === undefined ? [e] : e.moves;
    for (const move of moves) {
      const fromBalance = draft.has(move.from) ? draft.get(move.from) : balances[move.from];
      if (fromBalance < move.amount) return {id:e.id,status:'rejected'};
      const toBalance = draft.has(move.to) ? draft.get(move.to) : balances[move.to];
      draft.set(move.from, fromBalance - move.amount);
      draft.set(move.to, toBalance + move.amount);
    }
    for (const [account, balance] of draft) {
      balances[account] = balance;
      versions[account]++;
    }
    acceptedIds.add(e.id);
    return {id:e.id,status:'applied'};
  });
  return {balances,versions,receipts};
}
module.exports={solve};
Agent response
Implemented batch transfers and expected-version checks. Failed batches leave balances and versions unchanged. Existing transfer behavior is preserved.

Added tests. `node --test` passed all 11 tests. The smoke test file is unchanged.

### Next Steps

No further changes are required.
Session data
{
  "commands": 4,
  "tokens": {
    "input_tokens": 73594,
    "cached_input_tokens": 59392,
    "cache_write_input_tokens": 0,
    "output_tokens": 2082,
    "reasoning_output_tokens": 0
  },
  "integrity_errors": []
}

Fix an incremental build

Work order 1 · 32 / 32 · 40.9 s
contract: 8/8generated: 24/24
Code changes
--- a/src/engine.js
+++ b/src/engine.js
@@ -1,18 +1,97 @@
-// Cache currently keys only on a node's own revision.
+// A min-heap selects the smallest ID among the nodes currently ready.
+function push(heap, node) {
+  let i = heap.length;
+  heap.push(node);
+  while (i > 0) {
+    const parent = (i - 1) >> 1;
+    if (heap[parent].id < node.id) break;
+    heap[i] = heap[parent];
+    i = parent;
+  }
+  heap[i] = node;
+}
+
+function pop(heap) {
+  const first = heap[0];
+  const last = heap.pop();
+  if (heap.length) {
+    let i = 0;
+    while (i * 2 + 1 < heap.length) {
+      let child = i * 2 + 1;
+      if (child + 1 < heap.length && heap[child + 1].id < heap[child].id) child++;
+      if (last.id < heap[child].id) break;
+      heap[i] = heap[child];
+      i = child;
+    }
+    heap[i] = last;
+  }
+  return first;
+}
+
 function solve(input) {
-  const nodes=new Map(input.nodes.map(n=>[n.id,{...n}])), cache=new Map();
-  return input.requests.map(r=>{
-    r.changes.forEach(c=>Object.assign(nodes.get(c.id),c));
-    const needed=new Set();
-    function visit(id){if(needed.has(id))return;needed.add(id);nodes.get(id).deps.forEach(visit);}
-    r.targets.forEach(visit);
-    const built=[],cached=[];
-    for(const id of [...needed].sort()){
-      const n=nodes.get(id);
-      if(cache.get(id)===n.revision)cached.push(id);
-      else {cache.set(id,n.revision);built.push(id);}
+  const nodes = new Map(input.nodes.map(node => [node.id, {
+    id: node.id,
+    revision: node.revision,
+    deps: [],
+    consumers: [],
+    generation: 0,
+    builtRevision: undefined,
+    dependencyBuilds: [],
+    remaining: 0
+  }]));
+  // Dependencies cannot change in this contract. Normalize them once.
+  for (const source of input.nodes) {
+    const node = nodes.get(source.id);
+    node.deps = [...new Set(source.deps)].map(id => nodes.get(id));
+    for (const dependency of node.deps) dependency.consumers.push(node);
+  }
+
+  return input.requests.map(request => {
+    for (const change of request.changes) nodes.get(change.id).revision = change.revision;
+    const needed = new Set();
+    const stack = [];
+    for (const id of request.targets) {
+      const node = nodes.get(id);
+      if (!needed.has(node)) {
+        needed.add(node);
+        stack.push(node);
+      }
     }
-    return {built,cached};
+    while (stack.length) {
+      const node = stack.pop();
+      for (const dependency of node.deps) {
+        if (!needed.has(dependency)) {
+          needed.add(dependency);
+          stack.push(dependency);
+        }
+      }
+    }
+
+    const ready = [];
+    for (const node of needed) {
+      node.remaining = node.deps.length;
+      if (!node.remaining) push(ready, node);
+    }
+    const built = [];
+    const cached = [];
+    while (ready.length) {
+      const node = pop(ready);
+      const valid = node.generation !== 0 && node.builtRevision === node.revision &&
+        node.deps.every((dependency, i) => dependency.generation === node.dependencyBuilds[i]);
+      if (valid) {
+        cached.push(node.id);
+      } else {
+        node.generation++;
+        node.builtRevision = node.revision;
+        node.dependencyBuilds = node.deps.map(dependency => dependency.generation);
+        built.push(node.id);
+      }
+      for (const consumer of node.consumers) {
+        if (needed.has(consumer) && --consumer.remaining === 0) push(ready, consumer);
+      }
+    }
+    return { built, cached };
   });
 }
-module.exports={solve};
+
+module.exports = { solve };
Submitted code

src/index.js

module.exports = require("./engine.js");

src/engine.js

// A min-heap selects the smallest ID among the nodes currently ready.
function push(heap, node) {
  let i = heap.length;
  heap.push(node);
  while (i > 0) {
    const parent = (i - 1) >> 1;
    if (heap[parent].id < node.id) break;
    heap[i] = heap[parent];
    i = parent;
  }
  heap[i] = node;
}

function pop(heap) {
  const first = heap[0];
  const last = heap.pop();
  if (heap.length) {
    let i = 0;
    while (i * 2 + 1 < heap.length) {
      let child = i * 2 + 1;
      if (child + 1 < heap.length && heap[child + 1].id < heap[child].id) child++;
      if (last.id < heap[child].id) break;
      heap[i] = heap[child];
      i = child;
    }
    heap[i] = last;
  }
  return first;
}

function solve(input) {
  const nodes = new Map(input.nodes.map(node => [node.id, {
    id: node.id,
    revision: node.revision,
    deps: [],
    consumers: [],
    generation: 0,
    builtRevision: undefined,
    dependencyBuilds: [],
    remaining: 0
  }]));
  // Dependencies cannot change in this contract. Normalize them once.
  for (const source of input.nodes) {
    const node = nodes.get(source.id);
    node.deps = [...new Set(source.deps)].map(id => nodes.get(id));
    for (const dependency of node.deps) dependency.consumers.push(node);
  }

  return input.requests.map(request => {
    for (const change of request.changes) nodes.get(change.id).revision = change.revision;
    const needed = new Set();
    const stack = [];
    for (const id of request.targets) {
      const node = nodes.get(id);
      if (!needed.has(node)) {
        needed.add(node);
        stack.push(node);
      }
    }
    while (stack.length) {
      const node = stack.pop();
      for (const dependency of node.deps) {
        if (!needed.has(dependency)) {
          needed.add(dependency);
          stack.push(dependency);
        }
      }
    }

    const ready = [];
    for (const node of needed) {
      node.remaining = node.deps.length;
      if (!node.remaining) push(ready, node);
    }
    const built = [];
    const cached = [];
    while (ready.length) {
      const node = pop(ready);
      const valid = node.generation !== 0 && node.builtRevision === node.revision &&
        node.deps.every((dependency, i) => dependency.generation === node.dependencyBuilds[i]);
      if (valid) {
        cached.push(node.id);
      } else {
        node.generation++;
        node.builtRevision = node.revision;
        node.dependencyBuilds = node.deps.map(dependency => dependency.generation);
        built.push(node.id);
      }
      for (const consumer of node.consumers) {
        if (needed.has(consumer) && --consumer.remaining === 0) push(ready, consumer);
      }
    }
    return { built, cached };
  });
}

module.exports = { solve };
Agent response
Completed the work order.

- Corrected build order and cache invalidation.
- Added support for repeated and shared dependencies.
- Added tests, including a 12,000-node graph.
- Kept the existing smoke tests unchanged.

`node --test`: All 7 tests passed.

### Next Steps
The code is ready for review.
Session data
{
  "commands": 5,
  "tokens": {
    "input_tokens": 59625,
    "cached_input_tokens": 46592,
    "cache_write_input_tokens": 0,
    "output_tokens": 2329,
    "reasoning_output_tokens": 77
  },
  "integrity_errors": []
}
Work order 2 · 32 / 32 · 36.9 s
contract: 8/8generated: 16/16regression: 8/8
Code changes
--- a/src/engine.js
+++ b/src/engine.js
@@ -33,21 +33,29 @@
     id: node.id,
     revision: node.revision,
     deps: [],
-    consumers: [],
+    consumers: new Set(),
     generation: 0,
     builtRevision: undefined,
+    builtDeps: [],
     dependencyBuilds: [],
     remaining: 0
   }]));
-  // Dependencies cannot change in this contract. Normalize them once.
+  // Canonical dependency order makes set identity independent of input order.
+  function setDependencies(node, ids) {
+    for (const dependency of node.deps) dependency.consumers.delete(node);
+    node.deps = [...new Set(ids)].sort().map(id => nodes.get(id));
+    for (const dependency of node.deps) dependency.consumers.add(node);
+  }
   for (const source of input.nodes) {
-    const node = nodes.get(source.id);
-    node.deps = [...new Set(source.deps)].map(id => nodes.get(id));
-    for (const dependency of node.deps) dependency.consumers.push(node);
+    setDependencies(nodes.get(source.id), source.deps);
   }
 
   return input.requests.map(request => {
-    for (const change of request.changes) nodes.get(change.id).revision = change.revision;
+    for (const change of request.changes) {
+      const node = nodes.get(change.id);
+      if (change.revision !== undefined) node.revision = change.revision;
+      if (change.deps !== undefined) setDependencies(node, change.deps);
+    }
     const needed = new Set();
     const stack = [];
     for (const id of request.targets) {
@@ -72,22 +80,32 @@
       node.remaining = node.deps.length;
       if (!node.remaining) push(ready, node);
     }
+    // Check the entire required graph before changing any successful build.
+    const order = [];
+    while (ready.length) {
+      const node = pop(ready);
+      order.push(node);
+      for (const consumer of node.consumers) {
+        if (needed.has(consumer) && --consumer.remaining === 0) push(ready, consumer);
+      }
+    }
+    if (order.length !== needed.size) return { error: 'cycle', built: [], cached: [] };
+
     const built = [];
     const cached = [];
-    while (ready.length) {
-      const node = pop(ready);
+    for (const node of order) {
       const valid = node.generation !== 0 && node.builtRevision === node.revision &&
-        node.deps.every((dependency, i) => dependency.generation === node.dependencyBuilds[i]);
+        node.deps.length === node.builtDeps.length &&
+        node.deps.every((dependency, i) => dependency === node.builtDeps[i] &&
+          dependency.generation === node.dependencyBuilds[i]);
       if (valid) {
         cached.push(node.id);
       } else {
         node.generation++;
         node.builtRevision = node.revision;
+        node.builtDeps = node.deps;
         node.dependencyBuilds = node.deps.map(dependency => dependency.generation);
         built.push(node.id);
-      }
-      for (const consumer of node.consumers) {
-        if (needed.has(consumer) && --consumer.remaining === 0) push(ready, consumer);
       }
     }
     return { built, cached };
Submitted code

src/index.js

module.exports = require("./engine.js");

src/engine.js

// A min-heap selects the smallest ID among the nodes currently ready.
function push(heap, node) {
  let i = heap.length;
  heap.push(node);
  while (i > 0) {
    const parent = (i - 1) >> 1;
    if (heap[parent].id < node.id) break;
    heap[i] = heap[parent];
    i = parent;
  }
  heap[i] = node;
}

function pop(heap) {
  const first = heap[0];
  const last = heap.pop();
  if (heap.length) {
    let i = 0;
    while (i * 2 + 1 < heap.length) {
      let child = i * 2 + 1;
      if (child + 1 < heap.length && heap[child + 1].id < heap[child].id) child++;
      if (last.id < heap[child].id) break;
      heap[i] = heap[child];
      i = child;
    }
    heap[i] = last;
  }
  return first;
}

function solve(input) {
  const nodes = new Map(input.nodes.map(node => [node.id, {
    id: node.id,
    revision: node.revision,
    deps: [],
    consumers: new Set(),
    generation: 0,
    builtRevision: undefined,
    builtDeps: [],
    dependencyBuilds: [],
    remaining: 0
  }]));
  // Canonical dependency order makes set identity independent of input order.
  function setDependencies(node, ids) {
    for (const dependency of node.deps) dependency.consumers.delete(node);
    node.deps = [...new Set(ids)].sort().map(id => nodes.get(id));
    for (const dependency of node.deps) dependency.consumers.add(node);
  }
  for (const source of input.nodes) {
    setDependencies(nodes.get(source.id), source.deps);
  }

  return input.requests.map(request => {
    for (const change of request.changes) {
      const node = nodes.get(change.id);
      if (change.revision !== undefined) node.revision = change.revision;
      if (change.deps !== undefined) setDependencies(node, change.deps);
    }
    const needed = new Set();
    const stack = [];
    for (const id of request.targets) {
      const node = nodes.get(id);
      if (!needed.has(node)) {
        needed.add(node);
        stack.push(node);
      }
    }
    while (stack.length) {
      const node = stack.pop();
      for (const dependency of node.deps) {
        if (!needed.has(dependency)) {
          needed.add(dependency);
          stack.push(dependency);
        }
      }
    }

    const ready = [];
    for (const node of needed) {
      node.remaining = node.deps.length;
      if (!node.remaining) push(ready, node);
    }
    // Check the entire required graph before changing any successful build.
    const order = [];
    while (ready.length) {
      const node = pop(ready);
      order.push(node);
      for (const consumer of node.consumers) {
        if (needed.has(consumer) && --consumer.remaining === 0) push(ready, consumer);
      }
    }
    if (order.length !== needed.size) return { error: 'cycle', built: [], cached: [] };

    const built = [];
    const cached = [];
    for (const node of order) {
      const valid = node.generation !== 0 && node.builtRevision === node.revision &&
        node.deps.length === node.builtDeps.length &&
        node.deps.every((dependency, i) => dependency === node.builtDeps[i] &&
          dependency.generation === node.dependencyBuilds[i]);
      if (valid) {
        cached.push(node.id);
      } else {
        node.generation++;
        node.builtRevision = node.revision;
        node.builtDeps = node.deps;
        node.dependencyBuilds = node.deps.map(dependency => dependency.generation);
        built.push(node.id);
      }
    }
    return { built, cached };
  });
}

module.exports = { solve };
Agent response
Completed the work order.

- Added dependency changes and correct cache checks.
- Added cycle detection. Failed builds leave the cache unchanged.
- Added tests. Left the smoke tests unchanged.

Ran `node --test`: all 10 tests passed.

### Next Steps

No further changes are required.
Session data
{
  "commands": 4,
  "tokens": {
    "input_tokens": 75857,
    "cached_input_tokens": 61056,
    "cache_write_input_tokens": 0,
    "output_tokens": 1905,
    "reasoning_output_tokens": 21
  },
  "integrity_errors": []
}

Extend a permission engine

Work order 1 · 32 / 32 · 1m 1s
contract: 8/8generated: 24/24
Code changes
--- a/src/engine.js
+++ b/src/engine.js
@@ -1,15 +1,22 @@
-// Rules are currently evaluated in assignment order.
 function solve(input) {
-  return input.queries.map(q=>{
-    const user=input.users.find(u=>u.id===q.user);if(!user)return 'deny';
-    for(const id of user.roles){
-      const role=input.roles.find(r=>r.id===id);
-      for(const r of role.rules){
-        if(r.tenant===q.tenant && (r.resource==='*'||r.resource===q.resource) &&
-          (r.action==='*'||r.action===q.action))return r.effect;
+  const roles = new Map(input.roles.map(role => [role.id, role]));
+  const users = new Map(input.users.map(user => [user.id, new Set(user.roles)]));
+  return input.queries.map(query => {
+    const assigned = users.get(query.user);
+    if (!assigned) return 'deny';
+    let allowed = false;
+    for (const id of assigned) {
+      for (const rule of roles.get(id).rules) {
+        if (rule.tenant === query.tenant &&
+            (rule.resource === '*' || rule.resource === query.resource) &&
+            (rule.action === '*' || rule.action === query.action)) {
+          // Denies take priority over allows in all assigned roles.
+          if (rule.effect === 'deny') return 'deny';
+          allowed = true;
+        }
       }
     }
-    return 'deny';
+    return allowed ? 'allow' : 'deny';
   });
 }
-module.exports={solve};
+module.exports = { solve };
Submitted code

src/index.js

module.exports = require("./engine.js");

src/engine.js

function solve(input) {
  const roles = new Map(input.roles.map(role => [role.id, role]));
  const users = new Map(input.users.map(user => [user.id, new Set(user.roles)]));
  return input.queries.map(query => {
    const assigned = users.get(query.user);
    if (!assigned) return 'deny';
    let allowed = false;
    for (const id of assigned) {
      for (const rule of roles.get(id).rules) {
        if (rule.tenant === query.tenant &&
            (rule.resource === '*' || rule.resource === query.resource) &&
            (rule.action === '*' || rule.action === query.action)) {
          // Denies take priority over allows in all assigned roles.
          if (rule.effect === 'deny') return 'deny';
          allowed = true;
        }
      }
    }
    return allowed ? 'allow' : 'deny';
  });
}
module.exports = { solve };
Agent response
Completed the work order. Matching deny rules now override all matching allow rules. Role order and duplicates do not affect decisions. Input remains unchanged.

Added five tests. Left `test/smoke.test.js` unchanged.

Ran `node --test`: all 7 tests passed.

### Next Steps

The code is ready for review.
Session data
{
  "commands": 5,
  "tokens": {
    "input_tokens": 91313,
    "cached_input_tokens": 77696,
    "cache_write_input_tokens": 0,
    "output_tokens": 4611,
    "reasoning_output_tokens": 40
  },
  "integrity_errors": []
}
Work order 2 · 32 / 32 · 36.8 s
contract: 8/8generated: 16/16regression: 8/8
Code changes
--- a/src/engine.js
+++ b/src/engine.js
@@ -1,22 +1,61 @@
+// Visit each reachable role once. An active parent identifies a cycle.
+function collectRules(assigned, roles) {
+  const state = new Map();
+  const rules = [];
+  for (const id of assigned) {
+    if (state.has(id)) continue;
+    state.set(id, 1);
+    const stack = [{ role: roles.get(id), next: 0 }];
+    while (stack.length) {
+      const frame = stack[stack.length - 1];
+      if (frame.next < frame.role.parents.length) {
+        const parent = frame.role.parents[frame.next++];
+        if (state.get(parent) === 1) return null;
+        if (state.get(parent) === 2) continue;
+        state.set(parent, 1);
+        stack.push({ role: roles.get(parent), next: 0 });
+      } else {
+        for (const rule of frame.role.rules) rules.push(rule);
+        state.set(frame.role.id, 2);
+        stack.pop();
+      }
+    }
+  }
+  return rules;
+}
+
 function solve(input) {
   const roles = new Map(input.roles.map(role => [role.id, role]));
-  const users = new Map(input.users.map(user => [user.id, new Set(user.roles)]));
-  return input.queries.map(query => {
-    const assigned = users.get(query.user);
-    if (!assigned) return 'deny';
-    let allowed = false;
-    for (const id of assigned) {
-      for (const rule of roles.get(id).rules) {
+  const users = new Map(input.users.map(user => [user.id, user.roles]));
+  const queriesByUser = new Map();
+  const results = input.queries.map(() => 'deny');
+  input.queries.forEach((query, index) => {
+    if (!queriesByUser.has(query.user)) queriesByUser.set(query.user, []);
+    queriesByUser.get(query.user).push(index);
+  });
+
+  // Process one user at a time so rule collections do not accumulate in memory.
+  for (const [user, indices] of queriesByUser) {
+    const assigned = users.get(user);
+    if (!assigned) continue;
+    const rules = collectRules(assigned, roles);
+    if (rules === null) continue;
+    for (const index of indices) {
+      const query = input.queries[index];
+      for (const rule of rules) {
         if (rule.tenant === query.tenant &&
             (rule.resource === '*' || rule.resource === query.resource) &&
-            (rule.action === '*' || rule.action === query.action)) {
-          // Denies take priority over allows in all assigned roles.
-          if (rule.effect === 'deny') return 'deny';
-          allowed = true;
+            (rule.action === '*' || rule.action === query.action) &&
+            (rule.until === undefined || query.time < rule.until)) {
+          if (rule.effect === 'deny') {
+            results[index] = 'deny';
+            break;
+          }
+          results[index] = 'allow';
         }
       }
     }
-    return allowed ? 'allow' : 'deny';
-  });
+  }
+  return results;
 }
 module.exports = { solve };
Submitted code

src/index.js

module.exports = require("./engine.js");

src/engine.js

// Visit each reachable role once. An active parent identifies a cycle.
function collectRules(assigned, roles) {
  const state = new Map();
  const rules = [];
  for (const id of assigned) {
    if (state.has(id)) continue;
    state.set(id, 1);
    const stack = [{ role: roles.get(id), next: 0 }];
    while (stack.length) {
      const frame = stack[stack.length - 1];
      if (frame.next < frame.role.parents.length) {
        const parent = frame.role.parents[frame.next++];
        if (state.get(parent) === 1) return null;
        if (state.get(parent) === 2) continue;
        state.set(parent, 1);
        stack.push({ role: roles.get(parent), next: 0 });
      } else {
        for (const rule of frame.role.rules) rules.push(rule);
        state.set(frame.role.id, 2);
        stack.pop();
      }
    }
  }
  return rules;
}

function solve(input) {
  const roles = new Map(input.roles.map(role => [role.id, role]));
  const users = new Map(input.users.map(user => [user.id, user.roles]));
  const queriesByUser = new Map();
  const results = input.queries.map(() => 'deny');
  input.queries.forEach((query, index) => {
    if (!queriesByUser.has(query.user)) queriesByUser.set(query.user, []);
    queriesByUser.get(query.user).push(index);
  });

  // Process one user at a time so rule collections do not accumulate in memory.
  for (const [user, indices] of queriesByUser) {
    const assigned = users.get(user);
    if (!assigned) continue;
    const rules = collectRules(assigned, roles);
    if (rules === null) continue;
    for (const index of indices) {
      const query = input.queries[index];
      for (const rule of rules) {
        if (rule.tenant === query.tenant &&
            (rule.resource === '*' || rule.resource === query.resource) &&
            (rule.action === '*' || rule.action === query.action) &&
            (rule.until === undefined || query.time < rule.until)) {
          if (rule.effect === 'deny') {
            results[index] = 'deny';
            break;
          }
          results[index] = 'allow';
        }
      }
    }
  }
  return results;
}
module.exports = { solve };
Agent response
Completed the work order.

- Added inherited rules, reachable cycle checks, and rule expiry.
- Kept deny priority and exact matching.
- Added tests for shared ancestors and deep inheritance.
- Left `test/smoke.test.js` unchanged.

Ran `node --test`: all 13 tests passed.

### Next Steps

The code is ready for review. No further changes are required.
Session data
{
  "commands": 4,
  "tokens": {
    "input_tokens": 60885,
    "cached_input_tokens": 46592,
    "cache_write_input_tokens": 0,
    "output_tokens": 2195,
    "reasoning_output_tokens": 97
  },
  "integrity_errors": []
}
Runtime and suite
{
  "suite_sha256": "b441f3d4f15b2849578f6b2b2cd9700917f30dc1978fb4f6851ed7077b362bed",
  "runtime": {
    "codex": "codex-cli 0.154.0",
    "node": "v22.13.1",
    "python": "3.13.7",
    "quickjs": "1.19.4",
    "system": "Darwin",
    "machine": "arm64"
  },
  "elapsed_ms": 235343
}