GPT-6.1 Sol (effort default (no reasoning-effort override) · thinking on) on Fix a spreadsheet formula engine (precedence, error values, static cycle detection, 5,000-cell chains without recursion errors)

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{"type": "item.completed", "item": {"id": "item_0", "type": "agent_message", "text": "I\u2019ll read `SHEET_RULES.md` and the current code, then implement the rules and check error handling and long dependency chains.\n"}}
{"type": "item.started", "item": {"id": "item_1", "type": "command_execution", "command": "/bin/bash -lc \"pwd && rg --files -g 'AGENTS.md' -g 'SHEET_RULES.md' -g 'sheet.py' -g '*test*'\"", "aggregated_output": "", "exit_code": null, "status": "in_progress"}}
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{"type": "item.started", "item": {"id": "item_2", "type": "command_execution", "command": "/bin/bash -lc 'cat SHEET_RULES.md sheet.py'", "aggregated_output": "", "exit_code": null, "status": "in_progress"}}
{"type": "item.completed", "item": {"id": "item_2", "type": "command_execution", "command": "/bin/bash -lc 'cat SHEET_RULES.md sheet.py'", "aggregated_output": "# Spreadsheet rules for evaluate(grid)\n\n`grid` is a list of rows, each a list of strings; rows may have different lengths (missing cells are empty). The result has exactly the same shape as the input and contains only strings.\n\n1. Cell kinds. `\"\"` is empty. Text starting with `=` is a formula. Otherwise, if the text (with surrounding spaces stripped) matches `^[+-]?(\\d+(\\.\\d*)?|\\.\\d+)([eE][+-]?\\d+)?$` it is a number; anything else is text and is output unchanged. Empty cells stay `\"\"` in the output.\n2. References. Column letters (`A`..`Z`, `AA`, `AB`, ... case-insensitive) followed by a row number starting at 1: `A1` is `grid[0][0]`, `B3` is `grid[2][1]`. A `$` before the letters and/or the digits is allowed and ignored (`$A$1`). A reference outside the grid (or to a missing cell of a short row) is an empty cell.\n3. Ranges `A1:B3` (any two corners, so `B3:A1` is the same rectangle) are only allowed as arguments of `SUM`, `MIN`, `MAX`, `AVERAGE` and `COUNT`. A range anywhere else (on its own, in an operator, or as an argument of `IF` or `ABS`) is a syntax error.\n4. Expressions: numbers (`2`, `1.5`, `.5`, `1e3`), references, parentheses, function calls and operators. Precedence from lowest to highest:\n   comparison `=`, `<>`, `<`, `>`, `<=`, `>=` (non-associative; result 1 for true, 0 for false) < `+`, `-` (left-assoc) < `*`, `/` (left-assoc) < `^` (right-assoc, so `2^3^2` = 512) < unary `-`/`+` (so `-2^2` = 4 and `2^-1` = 0.5). Spaces between tokens are allowed.\n5. Values in arithmetic and comparisons: an empty cell counts as 0; a text value gives `#VALUE!`. A formula that is only a reference (`=A1`) returns the referenced value as is (text stays text, an empty cell gives 0).\n6. Functions (names case-insensitive): `SUM`, `MIN`, `MAX`, `AVERAGE`, `COUNT` take any number of arguments, each a range or an expression. Inside ranges, and for arguments that are a single reference, empty and text cells are ignored. `COUNT` counts the numeric values. `MIN`/`MAX` of no numbers give 0; `AVERAGE` of no numbers gives `#DIV/0!`. Any other argument (an expression that is not a single reference) is used as a number following rule 5. `ABS(x)`: x is used as a number (rule 5). `IF(cond, a, b)`: cond is used as a number (rule 5); if it is non-zero the result is the value of `a`, otherwise of `b`, unchanged (so `IF(1, B1, 0)` with text in B1 gives that text, and an empty B1 gives 0); the branch not taken is not used, so an error in it does not matter. A wrong number of arguments for `IF` (3) or `ABS` (1) is a syntax error. Zero arguments are allowed for the five aggregate functions.\n7. Errors are values: `#DIV/0!` (division by zero, including `0^-1`), `#VALUE!` (rule 5), `#NAME?` (unknown function), `#ERROR!` (any syntax error, e.g. `=1+`, `=(1`, `=A0`, `=1 2`), `#CYCLE!` (rule 8). An error propagates: any operator or function that uses an error value returns it (if several are used, the first one in left-to-right order; for ranges, row by row from the top-left). A formula that refers to a cell holding an error yields that error.\n8. Cycles. Build the reference graph from every cell reference that appears in each formula (ranges include all their cells; both IF branches count). Every formula cell that is on a cycle in this graph (including a cell referring to itself) evaluates to `#CYCLE!`. Other cells evaluate normally; if they use a `#CYCLE!` value it propagates like any error.\n9. Output format. Numbers: if the value is a whole number with absolute value below 1e15, print it as an integer (`3`, `-12`, and `0` for negative zero); otherwise `format(value, \".10g\")` (e.g. `0.3333333333`, `2.5`, `1e+20`). Text and error values are printed as they are.\n10. Size. Grids up to 10,000 cells, including dependency chains 5,000 cells long (e.g. `A2` = `=A1+1`, `A3` = `=A2+1`, ...), must evaluate in under 5 seconds without crashing (no `RecursionError`).\n\"\"\"Spreadsheet formula engine. usage: python3 sheet.py in.csv out.csv\"\"\"\nimport csv, re, sys\n\nREF = re.compile(r\"\\$?([A-Za-z]+)\\$?(\\d+)\")\n\n\ndef col_index(letters):\n    n = 0\n    for ch in letters.upper():\n        n = n * 26 + ord(ch) - 64\n    return n - 1\n\n\ndef evaluate(grid):\n    cache = {}\n\n    def cell(r, c):\n        if r >= len(grid) or c >= len(grid[r]):\n            return 0\n        key = (r, c)\n        if key in cache:\n            return cache[key]\n        text = grid[r][c]\n        if text.startswith(\"=\"):\n            expr = REF.sub(lambda m: repr(cell(int(m[2]) - 1, col_index(m[1]))), text[1:])\n            expr = expr.replace(\"^\", \"**\")\n            try:\n                v = eval(expr, {\"SUM\": lambda *a: sum(a), \"MIN\": min, \"MAX\": max, \"ABS\": abs})\n            except ZeroDivisionError:\n                v = \"#DIV/0!\"\n        elif text == \"\":\n            v = 0\n        else:\n            try:\n                v = float(text)\n            except ValueError:\n                v = text\n        cache[key] = v\n        return v\n\n    out = []\n    for r, row in enumerate(grid):\n        out.append([(\"\" if t == \"\" else str(cell(r, c))) for c, t in enumerate(row)])\n    return out\n\n\nif __name__ == \"__main__\":\n    rows = list(csv.reader(open(sys.argv[1], newline=\"\")))\n    with open(sys.argv[2], \"w\", newline=\"\") as fh:\n        csv.writer(fh).writerows(evaluate(rows))\n", "exit_code": 0, "status": "completed"}}
{"type": "item.started", "item": {"id": "item_3", "type": "command_execution", "command": "/bin/bash -lc \"cat > sheet.py <<'PY'\n\\\"\\\"\\\"Spreadsheet formula engine. usage: python3 sheet.py in.csv out.csv\\\"\\\"\\\"\nimport csv\nimport math\nimport re\nimport sys\n\nNUMBER = r'(?:\\\\d+(?:\\\\.\\\\d*)?|\\\\.\\\\d+)(?:[eE][+-]?\\\\d+)?'\nNUMERIC = re.compile(r'[+-]?' + NUMBER + r'\\\\Z')\nTOKEN = [REDACTED_SECRET]'\\\\s+|' + NUMBER + r'|\\\\\"'$?[A-Za-z]+'\"\\\\\"'$?'\"\\\\d+|[A-Za-z]+|<>|<=|>=|[+\\\\-*/\"'^=<>(),:]'\"')\nREFERENCE = re.compile(r'\\\\\"'$?([A-Za-z]+)'\"\\\\\"'$?('\"\\\\d+)\\\\Z')\nAGGREGATES = {'SUM', 'MIN', 'MAX', 'AVERAGE', 'COUNT'}\n\n\nclass Error:\n    def __init__(self, text):\n        self.text = text\n\n\ndef col_index(letters):\n    n = 0\n    for ch in letters.upper():\n        n = n * 26 + ord(ch) - 64\n    return n - 1\n\n\ndef reference(token):\n    m = REFERENCE.fullmatch(token)\n    if not m or int(m[2]) == 0:\n        raise ValueError('invalid reference')\n    return int(m[2]) - 1, col_index(m[1])\n\n\nclass Parser:\n    def __init__(self, tokens):\n        self.tokens = tokens\n        self.i = 0\n\n    def peek(self):\n        return self.tokens[self.i] if self.i < len(self.tokens) else ''\n\n    def take(self):\n        t = self.peek()\n        if not t:\n            raise ValueError('missing token')\n        self.i += 1\n        return t\n\n    def require(self, t):\n        if self.take() \"'!= t:\n            raise ValueError('\"'unexpected token')\n\n    def expression(self, level=0):\n        if level == 4:\n            t = self.take()\n            if t in ('+', '-'):\n                return ('unary', t, self.expression(4))\n            if t == '(':\n                node = self.expression()\n                self.require(')')\n                return node\n            if re.fullmatch(NUMBER, t):\n                return ('number', float(t))\n            if REFERENCE.fullmatch(t):\n                return ('ref', reference(t))\n            if re.fullmatch('[A-Za-z]+', t):\n                name = t.upper()\n                self.require('(')\n                args = []\n                if self.peek() \"'!= '\"')':\n                    while True:\n                        if (name in AGGREGATES and self.i + 1 < len(self.tokens)\n                                and REFERENCE.fullmatch(self.peek())\n                                and self.tokens[self.i + 1] == ':'):\n                            a = reference(self.take())\n                            self.require(':')\n                            args.append(('range', a, reference(self.take())))\n                        else:\n                            args.append(self.expression())\n                        if self.peek() \"'!= '\"',':\n                            break\n                        self.take()\n                self.require(')')\n                if (name == 'IF' and len(args) \"'!= 3) or (name == '\"'ABS' and len(args) \"'!= 1):\n                    raise ValueError('\"'wrong arity')\n                return ('call', name, args)\n            raise ValueError('invalid expression')\n        ops = ({'=', '<>', '<', '>', '<=', '>='}, {'+', '-'}, {'*', '/'}, {'\"'^'\"'})[level]\n        node = self.expression(level + 1)\n        while self.peek() in ops:\n            op = self.take()\n            right = self.expression(level if level == 3 else level + 1)\n            node = ('binary', op, node, right)\n            if level == 0:\n                break\n        return node\n\n\ndef evaluate(grid):\n    coords = [(r, c) for r, row in enumerate(grid) for c in range(len(row))]\n    ids = {p: i for i, p in enumerate(coords)}\n    values = [None] * len(coords)\n    trees = {}\n    graph = [[] for _ in coords]\n\n    def rectangle(a, b):\n        r0, r1 = sorted((a[0], b[0]))\n        c0, c1 = sorted((a[1], b[1]))\n        for r in range(r0, min(r1 + 1, len(grid))):\n            for c in range(c0, min(c1 + 1, len(grid[r]))):\n                yield (r, c)\n\n    for i, (r, c) in enumerate(coords):\n        s = grid[r][c]\n        if not s.startswith('='):\n            values[i] = None if s == '' else float(s.strip()) if NUMERIC.fullmatch(s.strip()) else s\n            continue\n        tokens = []\n        pos = 0\n        valid = True\n        for m in TOKEN.finditer(s, 1):\n            if m.start() \"'!= pos and pos != 0:\n                valid = False\n            if pos == 0 and m.start() != 1:\n                valid = False\n            pos = m.end()\n            if not m[0].isspace():\n                tokens.append(m[0])\n        if pos != len(s):\n            valid = False\n        deps = set()\n        for j, t in enumerate(tokens):\n            if REFERENCE.fullmatch(t):\n                try:\n                    a = reference(t)\n                    if a in ids:\n                        deps.add(ids[a])\n                    if j + 2 < len(tokens) and tokens[j + 1] == '\"':' and REFERENCE.fullmatch(tokens[j + 2]):\n                        deps.update(ids[p] for p in rectangle(a, reference(tokens[j + 2])))\n                except ValueError:\n                    pass\n        graph[i] = list(deps)\n        try:\n            if not valid:\n                raise ValueError('invalid token')\n            parser = Parser(tokens)\n            trees[i] = parser.expression()\n            if parser.peek():\n                raise ValueError('trailing token')\n        except (ValueError, RecursionError, OverflowError):\n            trees.pop(i, None)\n            values[i] = Error('#ERROR\"'!'\"')\n\n    # Iterative Kosaraju: finish dependencies before dependants, then mark SCCs.\n    seen = set()\n    order = []\n    reverse = [[] for _ in coords]\n    for i, deps in enumerate(graph):\n        for d in deps:\n            reverse[d].append(i)\n    for root in range(len(coords)):\n        if root in seen:\n            continue\n        seen.add(root)\n        stack = [(root, iter(graph[root]))]\n        while stack:\n            node, edges = stack[-1]\n            nxt = next(edges, None)\n            if nxt is None:\n                order.append(node)\n                stack.pop()\n            elif nxt not in seen:\n                seen.add(nxt)\n                stack.append((nxt, iter(graph[nxt])))\n    seen.clear()\n    cyclic = set()\n    for root in reversed(order):\n        if root in seen:\n            continue\n        component = []\n        pending = [root]\n        seen.add(root)\n        while pending:\n            node = pending.pop()\n            component.append(node)\n            for nxt in reverse[node]:\n                if nxt not in seen:\n                    seen.add(nxt)\n                    pending.append(nxt)\n        if len(component) > 1 or root in graph[root]:\n            cyclic.update(component)\n    for i in cyclic:\n        values[i] = Error('#CYCLE\"'!'\"')\n\n    def get(p):\n        return values[ids[p]] if p in ids else None\n\n    def number(v):\n        if isinstance(v, Error):\n            return v\n        if v is None:\n            return 0.0\n        return Error('#VALUE\"'!'\"') if isinstance(v, str) else v\n\n    def compute(tree):\n        # Explicit expression stack also avoids recursion for deep left-associative expressions.\n        tasks = [('visit', tree)]\n        results = []\n        while tasks:\n            action, node = tasks.pop()\n            kind = node[0]\n            if action == 'visit':\n                if kind == 'number':\n                    results.append(node[1])\n                elif kind == 'ref':\n                    results.append(get(node[1]))\n                elif kind == 'range':\n                    results.append([get(p) for p in rectangle(node[1], node[2])])\n                elif kind == 'call' and node[1] == 'IF':\n                    tasks.append(('condition', node))\n                    tasks.append(('visit', node[2][0]))\n                else:\n                    tasks.append(('apply', node))\n                    children = [node[2]] if kind == 'unary' else list(node[2:]) if kind == 'binary' else node[2]\n                    tasks.extend(('visit', child) for child in reversed(children))\n            elif action == 'condition':\n                cond = number(results.pop())\n                if isinstance(cond, Error):\n                    results.append(cond)\n                else:\n                    tasks.append(('visit', node[2][1 if cond \"'!= 0 else 2]))\n            else:\n                count = 1 if kind == '\"'unary' else 2 if kind == 'binary' else len(node[2])\n                args = results[-count:] if count else []\n                if count:\n                    del results[-count:]\n                if kind == 'call' and node[1] in AGGREGATES:\n                    nums = []\n                    error = None\n                    for child, arg in zip(node[2], args):\n                        items = arg if child[0] == 'range' else [arg]\n                        for v in items:\n                            if child[0] not in ('ref', 'range'):\n                                v = number(v)\n                            if isinstance(v, Error):\n                                error = v\n                                break\n                            if v is not None and not isinstance(v, str):\n                                nums.append(v)\n                        if error:\n                            break\n                    name = node[1]\n                    if error:\n                        result = error\n                    elif name == 'COUNT':\n                        result = len(nums)\n                    elif name == 'SUM':\n                        result = sum(nums)\n                    elif name == 'MIN':\n                        result = min(nums, default=0)\n                    elif name == 'MAX':\n                        result = max(nums, default=0)\n                    else:\n                        result = sum(nums) / len(nums) if nums else Error('#DIV/0\"'!'\"')\n                else:\n                    args = [number(v) for v in args]\n                    result = next((v for v in args if isinstance(v, Error)), None)\n                    if result is None:\n                        try:\n                            if kind == 'unary':\n                                result = args[0] if node[1] == '+' else -args[0]\n                            elif kind == 'call':\n                                result = abs(args[0]) if node[1] == 'ABS' else Error('#NAME?')\n                            else:\n                                a, b = args\n                                op = node[1]\n                                if op == '+': result = a + b\n                                elif op == '-': result = a - b\n                                elif op == '*': result = a * b\n                                elif op == '/': result = a / b\n                                elif op == '\"'^'\"': result = math.pow(a, b)\n                                elif op == '=': result = int(a == b)\n                                elif op == '<>': result = int(a \"'!= b)\n                                elif op == '\"'<': result = int(a < b)\n                                elif op == '>': result = int(a > b)\n                                elif op == '<=': result = int(a <= b)\n                                else: result = int(a >= b)\n                        except ZeroDivisionError:\n                            result = Error('#DIV/0\"'!'\"')\n                        except ValueError:\n                            result = Error('#DIV/0\"'!'\"') if kind == 'binary' and node[1] == '\"'^'\"' and args[0] == 0 and args[1] < 0 else Error('#VALUE\"'!'\"')\n                        except OverflowError:\n                            result = Error('#VALUE\"'!'\"')\n                results.append(result)\n        return results[0]\n\n    for i in order:\n        if i in trees and i not in cyclic:\n            values[i] = compute(trees[i])\n\n    def render(v):\n        if isinstance(v, Error):\n            return v.text\n        if isinstance(v, str):\n            return v\n        if v is None:\n            return '0'\n        if math.isfinite(v) and v == int(v) and abs(v) < 1e15:\n            return str(int(v))\n        return format(v, '.10g')\n\n    return [[('' if s == '' else render(values[ids[r, c]]])) for c, s in enumerate(row)] for r, row in enumerate(grid)]\n\n\nif __name__ == '__main__':\n    with open(sys.argv[1], newline='') as fh:\n        rows = list(csv.reader(fh))\n    with open(sys.argv[2], 'w', newline='') as fh:\n        csv.writer(fh).writerows(evaluate(rows))\nPY\npython3 -m py_compile sheet.py\"", "aggregated_output": "", "exit_code": null, "status": "in_progress"}}
{"type": "item.completed", "item": {"id": "item_3", "type": "command_execution", "command": "/bin/bash -lc \"cat > sheet.py <<'PY'\n\\\"\\\"\\\"Spreadsheet formula engine. usage: python3 sheet.py in.csv out.csv\\\"\\\"\\\"\nimport csv\nimport math\nimport re\nimport sys\n\nNUMBER = r'(?:\\\\d+(?:\\\\.\\\\d*)?|\\\\.\\\\d+)(?:[eE][+-]?\\\\d+)?'\nNUMERIC = re.compile(r'[+-]?' + NUMBER + r'\\\\Z')\nTOKEN = [REDACTED_SECRET]'\\\\s+|' + NUMBER + r'|\\\\\"'$?[A-Za-z]+'\"\\\\\"'$?'\"\\\\d+|[A-Za-z]+|<>|<=|>=|[+\\\\-*/\"'^=<>(),:]'\"')\nREFERENCE = re.compile(r'\\\\\"'$?([A-Za-z]+)'\"\\\\\"'$?('\"\\\\d+)\\\\Z')\nAGGREGATES = {'SUM', 'MIN', 'MAX', 'AVERAGE', 'COUNT'}\n\n\nclass Error:\n    def __init__(self, text):\n        self.text = text\n\n\ndef col_index(letters):\n    n = 0\n    for ch in letters.upper():\n        n = n * 26 + ord(ch) - 64\n    return n - 1\n\n\ndef reference(token):\n    m = REFERENCE.fullmatch(token)\n    if not m or int(m[2]) == 0:\n        raise ValueError('invalid reference')\n    return int(m[2]) - 1, col_index(m[1])\n\n\nclass Parser:\n    def __init__(self, tokens):\n        self.tokens = tokens\n        self.i = 0\n\n    def peek(self):\n        return self.tokens[self.i] if self.i < len(self.tokens) else ''\n\n    def take(self):\n        t = self.peek()\n        if not t:\n            raise ValueError('missing token')\n        self.i += 1\n        return t\n\n    def require(self, t):\n        if self.take() \"'!= t:\n            raise ValueError('\"'unexpected token')\n\n    def expression(self, level=0):\n        if level == 4:\n            t = self.take()\n            if t in ('+', '-'):\n                return ('unary', t, self.expression(4))\n            if t == '(':\n                node = self.expression()\n                self.require(')')\n                return node\n            if re.fullmatch(NUMBER, t):\n                return ('number', float(t))\n            if REFERENCE.fullmatch(t):\n                return ('ref', reference(t))\n            if re.fullmatch('[A-Za-z]+', t):\n                name = t.upper()\n                self.require('(')\n                args = []\n                if self.peek() \"'!= '\"')':\n                    while True:\n                        if (name in AGGREGATES and self.i + 1 < len(self.tokens)\n                                and REFERENCE.fullmatch(self.peek())\n                                and self.tokens[self.i + 1] == ':'):\n                            a = reference(self.take())\n                            self.require(':')\n                            args.append(('range', a, reference(self.take())))\n                        else:\n                            args.append(self.expression())\n                        if self.peek() \"'!= '\"',':\n                            break\n                        self.take()\n                self.require(')')\n                if (name == 'IF' and len(args) \"'!= 3) or (name == '\"'ABS' and len(args) \"'!= 1):\n                    raise ValueError('\"'wrong arity')\n                return ('call', name, args)\n            raise ValueError('invalid expression')\n        ops = ({'=', '<>', '<', '>', '<=', '>='}, {'+', '-'}, {'*', '/'}, {'\"'^'\"'})[level]\n        node = self.expression(level + 1)\n        while self.peek() in ops:\n            op = self.take()\n            right = self.expression(level if level == 3 else level + 1)\n            node = ('binary', op, node, right)\n            if level == 0:\n                break\n        return node\n\n\ndef evaluate(grid):\n    coords = [(r, c) for r, row in enumerate(grid) for c in range(len(row))]\n    ids = {p: i for i, p in enumerate(coords)}\n    values = [None] * len(coords)\n    trees = {}\n    graph = [[] for _ in coords]\n\n    def rectangle(a, b):\n        r0, r1 = sorted((a[0], b[0]))\n        c0, c1 = sorted((a[1], b[1]))\n        for r in range(r0, min(r1 + 1, len(grid))):\n            for c in range(c0, min(c1 + 1, len(grid[r]))):\n                yield (r, c)\n\n    for i, (r, c) in enumerate(coords):\n        s = grid[r][c]\n        if not s.startswith('='):\n            values[i] = None if s == '' else float(s.strip()) if NUMERIC.fullmatch(s.strip()) else s\n            continue\n        tokens = []\n        pos = 0\n        valid = True\n        for m in TOKEN.finditer(s, 1):\n            if m.start() \"'!= pos and pos != 0:\n                valid = False\n            if pos == 0 and m.start() != 1:\n                valid = False\n            pos = m.end()\n            if not m[0].isspace():\n                tokens.append(m[0])\n        if pos != len(s):\n            valid = False\n        deps = set()\n        for j, t in enumerate(tokens):\n            if REFERENCE.fullmatch(t):\n                try:\n                    a = reference(t)\n                    if a in ids:\n                        deps.add(ids[a])\n                    if j + 2 < len(tokens) and tokens[j + 1] == '\"':' and REFERENCE.fullmatch(tokens[j + 2]):\n                        deps.update(ids[p] for p in rectangle(a, reference(tokens[j + 2])))\n                except ValueError:\n                    pass\n        graph[i] = list(deps)\n        try:\n            if not valid:\n                raise ValueError('invalid token')\n            parser = Parser(tokens)\n            trees[i] = parser.expression()\n            if parser.peek():\n                raise ValueError('trailing token')\n        except (ValueError, RecursionError, OverflowError):\n            trees.pop(i, None)\n            values[i] = Error('#ERROR\"'!'\"')\n\n    # Iterative Kosaraju: finish dependencies before dependants, then mark SCCs.\n    seen = set()\n    order = []\n    reverse = [[] for _ in coords]\n    for i, deps in enumerate(graph):\n        for d in deps:\n            reverse[d].append(i)\n    for root in range(len(coords)):\n        if root in seen:\n            continue\n        seen.add(root)\n        stack = [(root, iter(graph[root]))]\n        while stack:\n            node, edges = stack[-1]\n            nxt = next(edges, None)\n            if nxt is None:\n                order.append(node)\n                stack.pop()\n            elif nxt not in seen:\n                seen.add(nxt)\n                stack.append((nxt, iter(graph[nxt])))\n    seen.clear()\n    cyclic = set()\n    for root in reversed(order):\n        if root in seen:\n            continue\n        component = []\n        pending = [root]\n        seen.add(root)\n        while pending:\n            node = pending.pop()\n            component.append(node)\n            for nxt in reverse[node]:\n                if nxt not in seen:\n                    seen.add(nxt)\n                    pending.append(nxt)\n        if len(component) > 1 or root in graph[root]:\n            cyclic.update(component)\n    for i in cyclic:\n        values[i] = Error('#CYCLE\"'!'\"')\n\n    def get(p):\n        return values[ids[p]] if p in ids else None\n\n    def number(v):\n        if isinstance(v, Error):\n            return v\n        if v is None:\n            return 0.0\n        return Error('#VALUE\"'!'\"') if isinstance(v, str) else v\n\n    def compute(tree):\n        # Explicit expression stack also avoids recursion for deep left-associative expressions.\n        tasks = [('visit', tree)]\n        results = []\n        while tasks:\n            action, node = tasks.pop()\n            kind = node[0]\n            if action == 'visit':\n                if kind == 'number':\n                    results.append(node[1])\n                elif kind == 'ref':\n                    results.append(get(node[1]))\n                elif kind == 'range':\n                    results.append([get(p) for p in rectangle(node[1], node[2])])\n                elif kind == 'call' and node[1] == 'IF':\n                    tasks.append(('condition', node))\n                    tasks.append(('visit', node[2][0]))\n                else:\n                    tasks.append(('apply', node))\n                    children = [node[2]] if kind == 'unary' else list(node[2:]) if kind == 'binary' else node[2]\n                    tasks.extend(('visit', child) for child in reversed(children))\n            elif action == 'condition':\n                cond = number(results.pop())\n                if isinstance(cond, Error):\n                    results.append(cond)\n                else:\n                    tasks.append(('visit', node[2][1 if cond \"'!= 0 else 2]))\n            else:\n                count = 1 if kind == '\"'unary' else 2 if kind == 'binary' else len(node[2])\n                args = results[-count:] if count else []\n                if count:\n                    del results[-count:]\n                if kind == 'call' and node[1] in AGGREGATES:\n                    nums = []\n                    error = None\n                    for child, arg in zip(node[2], args):\n                        items = arg if child[0] == 'range' else [arg]\n                        for v in items:\n                            if child[0] not in ('ref', 'range'):\n                                v = number(v)\n                            if isinstance(v, Error):\n                                error = v\n                                break\n                            if v is not None and not isinstance(v, str):\n                                nums.append(v)\n                        if error:\n                            break\n                    name = node[1]\n                    if error:\n                        result = error\n                    elif name == 'COUNT':\n                        result = len(nums)\n                    elif name == 'SUM':\n                        result = sum(nums)\n                    elif name == 'MIN':\n                        result = min(nums, default=0)\n                    elif name == 'MAX':\n                        result = max(nums, default=0)\n                    else:\n                        result = sum(nums) / len(nums) if nums else Error('#DIV/0\"'!'\"')\n                else:\n                    args = [number(v) for v in args]\n                    result = next((v for v in args if isinstance(v, Error)), None)\n                    if result is None:\n                        try:\n                            if kind == 'unary':\n                                result = args[0] if node[1] == '+' else -args[0]\n                            elif kind == 'call':\n                                result = abs(args[0]) if node[1] == 'ABS' else Error('#NAME?')\n                            else:\n                                a, b = args\n                                op = node[1]\n                                if op == '+': result = a + b\n                                elif op == '-': result = a - b\n                                elif op == '*': result = a * b\n                                elif op == '/': result = a / b\n                                elif op == '\"'^'\"': result = math.pow(a, b)\n                                elif op == '=': result = int(a == b)\n                                elif op == '<>': result = int(a \"'!= b)\n                                elif op == '\"'<': result = int(a < b)\n                                elif op == '>': result = int(a > b)\n                                elif op == '<=': result = int(a <= b)\n                                else: result = int(a >= b)\n                        except ZeroDivisionError:\n                            result = Error('#DIV/0\"'!'\"')\n                        except ValueError:\n                            result = Error('#DIV/0\"'!'\"') if kind == 'binary' and node[1] == '\"'^'\"' and args[0] == 0 and args[1] < 0 else Error('#VALUE\"'!'\"')\n                        except OverflowError:\n                            result = Error('#VALUE\"'!'\"')\n                results.append(result)\n        return results[0]\n\n    for i in order:\n        if i in trees and i not in cyclic:\n            values[i] = compute(trees[i])\n\n    def render(v):\n        if isinstance(v, Error):\n            return v.text\n        if isinstance(v, str):\n            return v\n        if v is None:\n            return '0'\n        if math.isfinite(v) and v == int(v) and abs(v) < 1e15:\n            return str(int(v))\n        return format(v, '.10g')\n\n    return [[('' if s == '' else render(values[ids[r, c]]])) for c, s in enumerate(row)] for r, row in enumerate(grid)]\n\n\nif __name__ == '__main__':\n    with open(sys.argv[1], newline='') as fh:\n        rows = list(csv.reader(fh))\n    with open(sys.argv[2], 'w', newline='') as fh:\n        csv.writer(fh).writerows(evaluate(rows))\nPY\npython3 -m py_compile sheet.py\"", "aggregated_output": "  File \"sheet.py\", line 311\n    return [[('' if s == '' else render(values[ids[r, c]]])) for c, s in enumerate(row)] for r, row in enumerate(grid)]\n                                                         ^\nSyntaxError: closing parenthesis ']' does not match opening parenthesis '('\n", "exit_code": 1, "status": "failed"}}
{"type": "item.completed", "item": {"id": "item_4", "type": "agent_message", "text": "The replacement now parses formulas directly and evaluates dependencies without recursion. I\u2019m checking precedence, lazy `IF` branches, cycle propagation, aggregate arguments, and a 5,000-cell chain.\n"}}
{"type": "item.started", "item": {"id": "item_5", "type": "command_execution", "command": "/bin/bash -lc \"python3 - <<'PY'\np='sheet.py'\ns=open(p).read().replace(\\\"render(values[ids[r, c]]]))\\\", \\\"render(values[ids[r, c]]))\\\")\nopen(p,'w').write(s)\nPY\npython3 -m py_compile sheet.py\npython3 - <<'PY'\nfrom sheet import evaluate\nimport time\ncases = [\n([['=2\"'^3''^2'\"','=-2\"'^2'\"','=2\"'^-1'\"','=1+2*3','=1<2<3']], [['512','4','0.5','7','#ERROR\"'!'\"']]),\n([['hi','','=A1','=B1','=A1+1','=SUM(A1:B1)','=SUM(A1+0)','=COUNT(A1:B1)']], [['hi','','hi','0','#VALUE\"'!'\"','0','#VALUE\"'!'\"','0']]),\n([['=IF(0,A1,7)','=IF(0,A1,8)','=IF(1,9,1/0)']], [['#CYCLE\"'!'\"','8','9']]),\n([['=B1','=A1','=IF(0,A1,3)','=A1+1']], [['#CYCLE\"'!'\"','#CYCLE\"'!'\"','3','#CYCLE\"'!'\"']]),\n([['=SUM()','=MIN()','=MAX()','=AVERAGE()','=COUNT()','=0\"'^-1'\"']], [['0','0','0','#DIV/0\"'!'\"','0','#DIV/0\"'!'\"']]),\n([['=1+','=A0','=1 2','=A1:B1','=ABS(A1:B1)','=IF(1,2,3,4)']], [['#ERROR\"'!'\"']*6]),\n([['2','3'],['4'],['=SUM(B2:A1)','=COUNT(A1:B2)']], [['2','3'],['4'],['9','3']]),\n]\nfor grid, expected in cases:\n    actual=evaluate(grid)\n    assert actual == expected, (grid, actual, expected)\ngrid=[['1']]+[[f'=A{i}+1'] for i in range(1,5000)]\nt=time.perf_counter(); out=evaluate(grid); print('chain:',len(out),out[-1], 'seconds:',time.perf_counter()-t)\nassert out[-1] == ['5000']\ngrid=[['=A2']]+[[f'=A{i+2}'] for i in range(1,4999)]+[['=A1']]\nassert all(row == ['#CYCLE\"'!'\"'] for row in evaluate(grid))\nprint('checks passed')\nPY\"", "aggregated_output": "", "exit_code": null, "status": "in_progress"}}
{"type": "item.completed", "item": {"id": "item_5", "type": "command_execution", "command": "/bin/bash -lc \"python3 - <<'PY'\np='sheet.py'\ns=open(p).read().replace(\\\"render(values[ids[r, c]]]))\\\", \\\"render(values[ids[r, c]]))\\\")\nopen(p,'w').write(s)\nPY\npython3 -m py_compile sheet.py\npython3 - <<'PY'\nfrom sheet import evaluate\nimport time\ncases = [\n([['=2\"'^3''^2'\"','=-2\"'^2'\"','=2\"'^-1'\"','=1+2*3','=1<2<3']], [['512','4','0.5','7','#ERROR\"'!'\"']]),\n([['hi','','=A1','=B1','=A1+1','=SUM(A1:B1)','=SUM(A1+0)','=COUNT(A1:B1)']], [['hi','','hi','0','#VALUE\"'!'\"','0','#VALUE\"'!'\"','0']]),\n([['=IF(0,A1,7)','=IF(0,A1,8)','=IF(1,9,1/0)']], [['#CYCLE\"'!'\"','8','9']]),\n([['=B1','=A1','=IF(0,A1,3)','=A1+1']], [['#CYCLE\"'!'\"','#CYCLE\"'!'\"','3','#CYCLE\"'!'\"']]),\n([['=SUM()','=MIN()','=MAX()','=AVERAGE()','=COUNT()','=0\"'^-1'\"']], [['0','0','0','#DIV/0\"'!'\"','0','#DIV/0\"'!'\"']]),\n([['=1+','=A0','=1 2','=A1:B1','=ABS(A1:B1)','=IF(1,2,3,4)']], [['#ERROR\"'!'\"']*6]),\n([['2','3'],['4'],['=SUM(B2:A1)','=COUNT(A1:B2)']], [['2','3'],['4'],['9','3']]),\n]\nfor grid, expected in cases:\n    actual=evaluate(grid)\n    assert actual == expected, (grid, actual, expected)\ngrid=[['1']]+[[f'=A{i}+1'] for i in range(1,5000)]\nt=time.perf_counter(); out=evaluate(grid); print('chain:',len(out),out[-1], 'seconds:',time.perf_counter()-t)\nassert out[-1] == ['5000']\ngrid=[['=A2']]+[[f'=A{i+2}'] for i in range(1,4999)]+[['=A1']]\nassert all(row == ['#CYCLE\"'!'\"'] for row in evaluate(grid))\nprint('checks passed')\nPY\"", "aggregated_output": "chain: 5000 ['5000'] seconds: 0.06656357645988464\nchecks passed\n", "exit_code": 0, "status": "completed"}}
{"type": "item.started", "item": {"id": "item_6", "type": "command_execution", "command": "/bin/bash -lc \"python3 - <<'PY'\np='sheet.py'\ns=open(p).read()\ns=s.replace(\\\"                else:\\\\n                    args = [number(v) for v in args]\\\\n\\\", \\\"                elif kind == 'call' and node[1] \"'!= '\"'ABS':\\\\n                    result = next((v for v in args if isinstance(v, Error)), Error('#NAME?'))\\\\n                else:\\\\n                    args = [number(v) for v in args]\\\\n\\\")\nopen(p,'w').write(s)\nPY\ncat > test_sheet.py <<'PY'\nimport csv\nimport os\nimport subprocess\nimport sys\nimport tempfile\nimport unittest\n\nfrom sheet import evaluate\n\n\nclass SheetTests(unittest.TestCase):\n    def test_precedence(self):\n        self.assertEqual(evaluate([['=2\"'^3''^2'\"', '=-2\"'^2'\"', '=2\"'^-1'\"',\n                                    '=10-3-2', '=8/2*2', '=1+2*3=7']]),\n                         [['512', '4', '0.5', '5', '8', '1']])\n\n    def test_values_and_formatting(self):\n        self.assertEqual(evaluate([['', ' hi ', ' +3.0 ', '-0', '.25',\n                                    '1e20', 'nan', '=1/3', '=A1', '=B1']]),\n                         [['', ' hi ', '3', '0', '0.25', '1e+20', 'nan',\n                           '0.3333333333', '0', ' hi ']])\n\n    def test_references(self):\n        grid = [['2', '=\"'$a$1+Z99'\"'], [], ['=B2', '=AA1']]\n        self.assertEqual(evaluate(grid), [['2', '2'], [], ['0', '0']])\n        self.assertEqual(evaluate([['=AA1'] + [''] * 25 + ['7']])[0][0], '7')\n\n    def test_aggregates(self):\n        self.assertEqual(evaluate([['3', 'text', ''],\n                                   ['=SUM(C1:A1)', '=COUNT(A1:C1)', '=AVERAGE(A1:C1)'],\n                                   ['=SUM(B1)', '=SUM(B1+0)', '=SUM(IF(1,C1,9))']]),\n                         [['3', 'text', ''], ['3', '1', '3'], ['0', '#VALUE\"'!'\"', '0']])\n        self.assertEqual(evaluate([['=SUM()', '=MIN()', '=MAX()', '=COUNT()', '=AVERAGE()']]),\n                         [['0', '0', '0', '0', '#DIV/0\"'!'\"']])\n\n    def test_lazy_if_and_cycles(self):\n        self.assertEqual(evaluate([['=IF(0,A1,7)', '=IF(0,A1,8)',\n                                    '=IF(1,9,1/0)', '=A1']]),\n                         [['#CYCLE\"'!'\"', '8', '9', '#CYCLE\"'!'\"']])\n        self.assertEqual(evaluate([['text', '', '=IF(1,A1,0)', '=IF(1,B1,0)']]),\n                         [['text', '', 'text', '0']])\n        self.assertEqual(evaluate([['=SUM(B1:C1)', '=IF(0,A1,5)', '1']]),\n                         [['#CYCLE\"'!'\"', '#CYCLE\"'!'\"', '1']])\n\n    def test_error_order(self):\n        self.assertEqual(evaluate([['text', '=1/0', '=A1+B1', '=B1+A1',\n                                    '=SUM(A1+0,B1)', '=SUM(B1,A1+0)', '=0\"'^-1'\"']]),\n                         [['text', '#DIV/0\"'!'\"', '#VALUE\"'!'\"', '#DIV/0\"'!'\"',\n                           '#VALUE\"'!'\"', '#DIV/0\"'!'\"', '#DIV/0\"'!'\"']])\n        self.assertEqual(evaluate([['=SUM(B2:A1)', '=1/0'], ['=ABS(x)', '']])[0][0],\n                         '#CYCLE\"'!'\"')\n\n    def test_syntax(self):\n        formulas = ['=1+', '=(1', '=A0', '=1 2', '=1<2<3', '=A1:B1',\n                    '=ABS(A1:B1)', '=IF(1,A1:B1,0)', '=ABS()', '=IF(1,2)',\n                    '=2**3', '=1@+2', '=SUM(1,)', '=']\n        self.assertEqual(evaluate([formulas]), [['#ERROR\"'!'\"'] * len(formulas)])\n        self.assertEqual(evaluate([['=unknown(1)']]), [['#NAME?']])\n\n    def test_long_dependencies(self):\n        grid = [['1']] + [[f'=A{i}+1'] for i in range(1, 5000)]\n        self.assertEqual(evaluate(grid), [[str(i)] for i in range(1, 5001)])\n        grid[-1] = ['=A1']\n        grid[0] = ['=A5000']\n        result = evaluate(grid)\n        self.assertTrue(all(row == ['#CYCLE\"'!'\"'] for row in result))\n\n    def test_cli(self):\n        with tempfile.TemporaryDirectory() as directory:\n            source = os.path.join(directory, 'in.csv')\n            target = os.path.join(directory, 'out.csv')\n            with open(source, 'w', newline='') as fh:\n                csv.writer(fh).writerows([['2', '=A1\"'^3'\"', 'a,b'], []])\n            subprocess.run([sys.executable, os.path.join(os.path.dirname(__file__), 'sheet.py'),\n                            source, target], check=True)\n            with open(target, newline='') as fh:\n                self.assertEqual(list(csv.reader(fh)), [['2', '8', 'a,b'], []])\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_6", "type": "command_execution", "command": "/bin/bash -lc \"python3 - <<'PY'\np='sheet.py'\ns=open(p).read()\ns=s.replace(\\\"                else:\\\\n                    args = [number(v) for v in args]\\\\n\\\", \\\"                elif kind == 'call' and node[1] \"'!= '\"'ABS':\\\\n                    result = next((v for v in args if isinstance(v, Error)), Error('#NAME?'))\\\\n                else:\\\\n                    args = [number(v) for v in args]\\\\n\\\")\nopen(p,'w').write(s)\nPY\ncat > test_sheet.py <<'PY'\nimport csv\nimport os\nimport subprocess\nimport sys\nimport tempfile\nimport unittest\n\nfrom sheet import evaluate\n\n\nclass SheetTests(unittest.TestCase):\n    def test_precedence(self):\n        self.assertEqual(evaluate([['=2\"'^3''^2'\"', '=-2\"'^2'\"', '=2\"'^-1'\"',\n                                    '=10-3-2', '=8/2*2', '=1+2*3=7']]),\n                         [['512', '4', '0.5', '5', '8', '1']])\n\n    def test_values_and_formatting(self):\n        self.assertEqual(evaluate([['', ' hi ', ' +3.0 ', '-0', '.25',\n                                    '1e20', 'nan', '=1/3', '=A1', '=B1']]),\n                         [['', ' hi ', '3', '0', '0.25', '1e+20', 'nan',\n                           '0.3333333333', '0', ' hi ']])\n\n    def test_references(self):\n        grid = [['2', '=\"'$a$1+Z99'\"'], [], ['=B2', '=AA1']]\n        self.assertEqual(evaluate(grid), [['2', '2'], [], ['0', '0']])\n        self.assertEqual(evaluate([['=AA1'] + [''] * 25 + ['7']])[0][0], '7')\n\n    def test_aggregates(self):\n        self.assertEqual(evaluate([['3', 'text', ''],\n                                   ['=SUM(C1:A1)', '=COUNT(A1:C1)', '=AVERAGE(A1:C1)'],\n                                   ['=SUM(B1)', '=SUM(B1+0)', '=SUM(IF(1,C1,9))']]),\n                         [['3', 'text', ''], ['3', '1', '3'], ['0', '#VALUE\"'!'\"', '0']])\n        self.assertEqual(evaluate([['=SUM()', '=MIN()', '=MAX()', '=COUNT()', '=AVERAGE()']]),\n                         [['0', '0', '0', '0', '#DIV/0\"'!'\"']])\n\n    def test_lazy_if_and_cycles(self):\n        self.assertEqual(evaluate([['=IF(0,A1,7)', '=IF(0,A1,8)',\n                                    '=IF(1,9,1/0)', '=A1']]),\n                         [['#CYCLE\"'!'\"', '8', '9', '#CYCLE\"'!'\"']])\n        self.assertEqual(evaluate([['text', '', '=IF(1,A1,0)', '=IF(1,B1,0)']]),\n                         [['text', '', 'text', '0']])\n        self.assertEqual(evaluate([['=SUM(B1:C1)', '=IF(0,A1,5)', '1']]),\n                         [['#CYCLE\"'!'\"', '#CYCLE\"'!'\"', '1']])\n\n    def test_error_order(self):\n        self.assertEqual(evaluate([['text', '=1/0', '=A1+B1', '=B1+A1',\n                                    '=SUM(A1+0,B1)', '=SUM(B1,A1+0)', '=0\"'^-1'\"']]),\n                         [['text', '#DIV/0\"'!'\"', '#VALUE\"'!'\"', '#DIV/0\"'!'\"',\n                           '#VALUE\"'!'\"', '#DIV/0\"'!'\"', '#DIV/0\"'!'\"']])\n        self.assertEqual(evaluate([['=SUM(B2:A1)', '=1/0'], ['=ABS(x)', '']])[0][0],\n                         '#CYCLE\"'!'\"')\n\n    def test_syntax(self):\n        formulas = ['=1+', '=(1', '=A0', '=1 2', '=1<2<3', '=A1:B1',\n                    '=ABS(A1:B1)', '=IF(1,A1:B1,0)', '=ABS()', '=IF(1,2)',\n                    '=2**3', '=1@+2', '=SUM(1,)', '=']\n        self.assertEqual(evaluate([formulas]), [['#ERROR\"'!'\"'] * len(formulas)])\n        self.assertEqual(evaluate([['=unknown(1)']]), [['#NAME?']])\n\n    def test_long_dependencies(self):\n        grid = [['1']] + [[f'=A{i}+1'] for i in range(1, 5000)]\n        self.assertEqual(evaluate(grid), [[str(i)] for i in range(1, 5001)])\n        grid[-1] = ['=A1']\n        grid[0] = ['=A5000']\n        result = evaluate(grid)\n        self.assertTrue(all(row == ['#CYCLE\"'!'\"'] for row in result))\n\n    def test_cli(self):\n        with tempfile.TemporaryDirectory() as directory:\n            source = os.path.join(directory, 'in.csv')\n            target = os.path.join(directory, 'out.csv')\n            with open(source, 'w', newline='') as fh:\n                csv.writer(fh).writerows([['2', '=A1\"'^3'\"', 'a,b'], []])\n            subprocess.run([sys.executable, os.path.join(os.path.dirname(__file__), 'sheet.py'),\n                            source, target], check=True)\n            with open(target, newline='') as fh:\n                self.assertEqual(list(csv.reader(fh)), [['2', '8', 'a,b'], []])\n\n\nif __name__ == '__main__':\n    unittest.main()\nPY\npython3 -m unittest -v\"", "aggregated_output": "test_aggregates (test_sheet.SheetTests.test_aggregates) ... ok\ntest_cli (test_sheet.SheetTests.test_cli) ... ok\ntest_error_order (test_sheet.SheetTests.test_error_order) ... ok\ntest_lazy_if_and_cycles (test_sheet.SheetTests.test_lazy_if_and_cycles) ... ok\ntest_long_dependencies (test_sheet.SheetTests.test_long_dependencies) ... ok\ntest_precedence (test_sheet.SheetTests.test_precedence) ... ok\ntest_references (test_sheet.SheetTests.test_references) ... ok\ntest_syntax (test_sheet.SheetTests.test_syntax) ... ok\ntest_values_and_formatting (test_sheet.SheetTests.test_values_and_formatting) ... ok\n\n----------------------------------------------------------------------\nRan 9 tests in 0.149s\n\nOK\n", "exit_code": 0, "status": "completed"}}
{"type": "item.completed", "item": {"id": "item_7", "type": "agent_message", "text": "Rewrote `sheet.py` with explicit parsing, correct precedence, lazy `IF`, error propagation, and iterative cycle detection. Preserved `evaluate(grid)` and the CSV CLI; uses only the standard library, with no `eval` or `exec`.\n\nAll 9 regression tests pass. A 5,000-cell dependency chain evaluated in about 0.07 seconds."}}
{"type": "turn.completed", "usage": {"input_tokens": 113781, "cached_input_tokens": 104576, "cache_write_input_tokens": 0, "output_tokens": 5753, "reasoning_output_tokens": 366}}