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[ { "role": "user", "content": "Define a function `fibonacci` taking an integer n and returning the nth Fibonacci number. Return sensible defaults for edge cases." }, { "role": "assistant", "content": "def fibonacci(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must ...
math
[ { "role": "user", "content": "Implement `fibonacci` with proper validation: compute the nth Fibonacci number. Handle empty input gracefully." }, { "role": "assistant", "content": "def fibonacci(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n ...
math
[ { "role": "user", "content": "Define a function `fibonacci` taking an integer n and returning the nth Fibonacci number. Include basic type checks." }, { "role": "assistant", "content": "def fibonacci(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n ...
math
[ { "role": "user", "content": "Construct `fibonacci` to compute the nth Fibonacci number. Use only the standard library." }, { "role": "assistant", "content": "def fibonacci(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 0:\n raise V...
math
[ { "role": "user", "content": "Implement the function `fibonacci` (an integer n) -> the nth Fibonacci number. Handle empty input gracefully." }, { "role": "assistant", "content": "def fibonacci(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n <...
math
[ { "role": "user", "content": "Generate a Python function `fibonacci` for compute the nth Fibonacci number. Make it robust to invalid input." }, { "role": "assistant", "content": "def fibonacci(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n <...
math
[ { "role": "user", "content": "Write code for `fibonacci` (an integer n) that compute the nth Fibonacci number. Avoid mutating the input." }, { "role": "assistant", "content": "def fibonacci(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 0:...
math
[ { "role": "user", "content": "Make a function `factorial` to compute the factorial of n. Handle empty input gracefully." }, { "role": "assistant", "content": "def factorial(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 0:\n raise V...
math
[ { "role": "user", "content": "Write `factorial` in Python. It should compute the factorial of n. Include basic type checks." }, { "role": "assistant", "content": "def factorial(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 0:\n rai...
math
[ { "role": "user", "content": "Can you write code for `factorial` that compute the factorial of n? Include basic type checks." }, { "role": "assistant", "content": "def factorial(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 0:\n ra...
math
[ { "role": "user", "content": "Create `factorial(an integer n)` returning n factorial. Make it robust to invalid input." }, { "role": "assistant", "content": "def factorial(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 0:\n raise Va...
math
[ { "role": "user", "content": "Write `factorial` in Python. It should compute the factorial of n. " }, { "role": "assistant", "content": "def factorial(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 0:\n raise ValueError(\"n must be ...
math
[ { "role": "user", "content": "Can you write code for `factorial` that compute the factorial of n? Avoid mutating the input." }, { "role": "assistant", "content": "def factorial(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 0:\n rai...
math
[ { "role": "user", "content": "Generate a Python function `factorial` for compute the factorial of n. Add a brief docstring." }, { "role": "assistant", "content": "def factorial(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 0:\n rai...
math
[ { "role": "user", "content": "Produce a clean implementation of `factorial`: compute the factorial of n. Avoid mutating the input." }, { "role": "assistant", "content": "def factorial(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 0:\n ...
math
[ { "role": "user", "content": "Write a reusable function `factorial` which compute the factorial of n. Make it robust to invalid input." }, { "role": "assistant", "content": "def factorial(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 0:\n...
math
[ { "role": "user", "content": "Implement `factorial` with proper validation: compute the factorial of n. Include basic type checks." }, { "role": "assistant", "content": "def factorial(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 0:\n ...
math
[ { "role": "user", "content": "Implement `factorial`. It should compute the factorial of n. Use only the standard library." }, { "role": "assistant", "content": "def factorial(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 0:\n raise...
math
[ { "role": "user", "content": "Write a reusable function `factorial` which compute the factorial of n. Keep it efficient." }, { "role": "assistant", "content": "def factorial(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 0:\n raise ...
math
[ { "role": "user", "content": "Please provide `factorial` that compute the factorial of n. Keep it efficient." }, { "role": "assistant", "content": "def factorial(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 0:\n raise ValueError(\...
math
[ { "role": "user", "content": "Implement `factorial(an integer n)` to compute the factorial of n. Handle empty input gracefully." }, { "role": "assistant", "content": "def factorial(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 0:\n ...
math
[ { "role": "user", "content": "Draft a Python function `factorial` to compute the factorial of n. Keep it efficient." }, { "role": "assistant", "content": "def factorial(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 0:\n raise Value...
math
[ { "role": "user", "content": "Create `factorial(an integer n)` returning n factorial. Use only the standard library." }, { "role": "assistant", "content": "def factorial(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 0:\n raise Valu...
math
[ { "role": "user", "content": "Define a function `factorial` taking an integer n and returning n factorial. Add a brief docstring." }, { "role": "assistant", "content": "def factorial(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 0:\n ...
math
[ { "role": "user", "content": "Make a function `factorial` to compute the factorial of n. Make it robust to invalid input." }, { "role": "assistant", "content": "def factorial(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 0:\n raise...
math
[ { "role": "user", "content": "Write a Python function `factorial` that compute the factorial of n. Handle empty input gracefully." }, { "role": "assistant", "content": "def factorial(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 0:\n ...
math
[ { "role": "user", "content": "Add a function `factorial` that compute the factorial of n. Add a brief docstring." }, { "role": "assistant", "content": "def factorial(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 0:\n raise ValueErr...
math
[ { "role": "user", "content": "Implement `factorial` returning n factorial given an integer n. " }, { "role": "assistant", "content": "def factorial(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 0:\n raise ValueError(\"n must be non...
math
[ { "role": "user", "content": "Make a function `factorial` to compute the factorial of n. Return sensible defaults for edge cases." }, { "role": "assistant", "content": "def factorial(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 0:\n ...
math
[ { "role": "user", "content": "Develop `factorial` such that it compute the factorial of n. " }, { "role": "assistant", "content": "def factorial(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 0:\n raise ValueError(\"n must be non-ne...
math
[ { "role": "user", "content": "Generate a Python function `factorial` for compute the factorial of n. Include basic type checks." }, { "role": "assistant", "content": "def factorial(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 0:\n ...
math
[ { "role": "user", "content": "Write code for `factorial` (an integer n) that compute the factorial of n. Keep it efficient." }, { "role": "assistant", "content": "def factorial(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 0:\n rai...
math
[ { "role": "user", "content": "Add a function `factorial` that compute the factorial of n. Return sensible defaults for edge cases." }, { "role": "assistant", "content": "def factorial(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 0:\n ...
math
[ { "role": "user", "content": "I need a Python helper `factorial` that compute the factorial of n. Make it robust to invalid input." }, { "role": "assistant", "content": "def factorial(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 0:\n ...
math
[ { "role": "user", "content": "Construct `factorial` to compute the factorial of n. Make it robust to invalid input." }, { "role": "assistant", "content": "def factorial(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 0:\n raise Value...
math
[ { "role": "user", "content": "Construct `factorial` to compute the factorial of n. " }, { "role": "assistant", "content": "def factorial(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 0:\n raise ValueError(\"n must be non-negative\"...
math
[ { "role": "user", "content": "Create `factorial(an integer n)` returning n factorial. Add a brief docstring." }, { "role": "assistant", "content": "def factorial(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 0:\n raise ValueError(\...
math
[ { "role": "user", "content": "Provide a Python solution for `factorial`: compute the factorial of n. Use only the standard library." }, { "role": "assistant", "content": "def factorial(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 0:\n ...
math
[ { "role": "user", "content": "Code a function `factorial` to compute the factorial of n. Handle empty input gracefully." }, { "role": "assistant", "content": "def factorial(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 0:\n raise V...
math
[ { "role": "user", "content": "Create a robust `is_prime` that test whether an integer is prime. Handle empty input gracefully." }, { "role": "assistant", "content": "def is_prime(n: int) -> bool:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 2:\n ...
math
[ { "role": "user", "content": "Implement `is_prime` with proper validation: test whether an integer is prime. Add a brief docstring." }, { "role": "assistant", "content": "def is_prime(n: int) -> bool:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 2:\n ...
math
[ { "role": "user", "content": "Write a reusable function `is_prime` which test whether an integer is prime. Avoid mutating the input." }, { "role": "assistant", "content": "def is_prime(n: int) -> bool:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 2:\n ...
math
[ { "role": "user", "content": "Add a function `is_prime` that test whether an integer is prime. Avoid mutating the input." }, { "role": "assistant", "content": "def is_prime(n: int) -> bool:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 2:\n return...
math
[ { "role": "user", "content": "Develop `is_prime` such that it test whether an integer is prime. Include basic type checks." }, { "role": "assistant", "content": "def is_prime(n: int) -> bool:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 2:\n retu...
math
[ { "role": "user", "content": "Add a function `is_prime` that test whether an integer is prime. Include basic type checks." }, { "role": "assistant", "content": "def is_prime(n: int) -> bool:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 2:\n retur...
math
[ { "role": "user", "content": "Implement `is_prime(an integer n)` to test whether an integer is prime. Handle empty input gracefully." }, { "role": "assistant", "content": "def is_prime(n: int) -> bool:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 2:\n ...
math
[ { "role": "user", "content": "Please provide `is_prime` that test whether an integer is prime. Keep it efficient." }, { "role": "assistant", "content": "def is_prime(n: int) -> bool:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 2:\n return False\...
math
[ { "role": "user", "content": "Can you write code for `is_prime` that test whether an integer is prime? Handle empty input gracefully." }, { "role": "assistant", "content": "def is_prime(n: int) -> bool:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 2:\n ...
math
[ { "role": "user", "content": "Produce a clean implementation of `is_prime`: test whether an integer is prime. Add a brief docstring." }, { "role": "assistant", "content": "def is_prime(n: int) -> bool:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 2:\n ...
math
[ { "role": "user", "content": "Write code for `is_prime` (an integer n) that test whether an integer is prime. Include basic type checks." }, { "role": "assistant", "content": "def is_prime(n: int) -> bool:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 2:...
math
[ { "role": "user", "content": "Please provide `is_prime` that test whether an integer is prime. " }, { "role": "assistant", "content": "def is_prime(n: int) -> bool:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 2:\n return False\n if n % 2 == 0...
math
[ { "role": "user", "content": "Draft a Python function `is_prime` to test whether an integer is prime. " }, { "role": "assistant", "content": "def is_prime(n: int) -> bool:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 2:\n return False\n if n %...
math
[ { "role": "user", "content": "Create a utility function named `is_prime` which test whether an integer is prime. Return sensible defaults for edge cases." }, { "role": "assistant", "content": "def is_prime(n: int) -> bool:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\...
math
[ { "role": "user", "content": "Write `is_prime`: test whether an integer is prime. Avoid mutating the input." }, { "role": "assistant", "content": "def is_prime(n: int) -> bool:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 2:\n return False\n i...
math
[ { "role": "user", "content": "Write a Python function `is_prime` that test whether an integer is prime. Avoid mutating the input." }, { "role": "assistant", "content": "def is_prime(n: int) -> bool:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 2:\n ...
math
[ { "role": "user", "content": "Formulate `is_prime` to test whether an integer is prime. Use only the standard library." }, { "role": "assistant", "content": "def is_prime(n: int) -> bool:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 2:\n return F...
math
[ { "role": "user", "content": "Develop `is_prime` such that it test whether an integer is prime. Make it robust to invalid input." }, { "role": "assistant", "content": "def is_prime(n: int) -> bool:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 2:\n ...
math
[ { "role": "user", "content": "Write a reusable function `is_prime` which test whether an integer is prime. " }, { "role": "assistant", "content": "def is_prime(n: int) -> bool:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 2:\n return False\n i...
math
[ { "role": "user", "content": "Implement the function `is_prime` (an integer n) -> True if n is prime. " }, { "role": "assistant", "content": "def is_prime(n: int) -> bool:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 2:\n return False\n if n %...
math
[ { "role": "user", "content": "Define a function `is_prime` taking an integer n and returning True if n is prime. Include basic type checks." }, { "role": "assistant", "content": "def is_prime(n: int) -> bool:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n <...
math
[ { "role": "user", "content": "Formulate `is_prime` to test whether an integer is prime. Make it robust to invalid input." }, { "role": "assistant", "content": "def is_prime(n: int) -> bool:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 2:\n return...
math
[ { "role": "user", "content": "Can you write code for `is_prime` that test whether an integer is prime? Add a brief docstring." }, { "role": "assistant", "content": "def is_prime(n: int) -> bool:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 2:\n r...
math
[ { "role": "user", "content": "Create `is_prime(an integer n)` returning True if n is prime. Use only the standard library." }, { "role": "assistant", "content": "def is_prime(n: int) -> bool:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 2:\n retu...
math
[ { "role": "user", "content": "Develop `is_prime` such that it test whether an integer is prime. Keep it efficient." }, { "role": "assistant", "content": "def is_prime(n: int) -> bool:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 2:\n return False...
math
[ { "role": "user", "content": "Define a function `is_prime` taking an integer n and returning True if n is prime. Make it robust to invalid input." }, { "role": "assistant", "content": "def is_prime(n: int) -> bool:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n ...
math
[ { "role": "user", "content": "Build a function `is_prime` that test whether an integer is prime, with edge-case handling. " }, { "role": "assistant", "content": "def is_prime(n: int) -> bool:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 2:\n retu...
math
[ { "role": "user", "content": "Implement `is_prime`. It should test whether an integer is prime. Add a brief docstring." }, { "role": "assistant", "content": "def is_prime(n: int) -> bool:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 2:\n return F...
math
[ { "role": "user", "content": "Help me write `is_prime` that test whether an integer is prime. Make it robust to invalid input." }, { "role": "assistant", "content": "def is_prime(n: int) -> bool:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 2:\n ...
math
[ { "role": "user", "content": "Add a function `is_prime` that test whether an integer is prime. Handle empty input gracefully." }, { "role": "assistant", "content": "def is_prime(n: int) -> bool:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 2:\n r...
math
[ { "role": "user", "content": "Generate a Python function `is_prime` for test whether an integer is prime. Add a brief docstring." }, { "role": "assistant", "content": "def is_prime(n: int) -> bool:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 2:\n ...
math
[ { "role": "user", "content": "Formulate `is_prime` to test whether an integer is prime. Return sensible defaults for edge cases." }, { "role": "assistant", "content": "def is_prime(n: int) -> bool:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n if n < 2:\n ...
math
[ { "role": "user", "content": "Implement the function `gcd` (integers a and b) -> the gcd. Make it robust to invalid input." }, { "role": "assistant", "content": "def gcd(a: int, b: int) -> int:\n if not (isinstance(a, int) and isinstance(b, int)):\n raise TypeError(\"a and b must be in...
math
[ { "role": "user", "content": "Write `gcd`: compute the greatest common divisor. Return sensible defaults for edge cases." }, { "role": "assistant", "content": "def gcd(a: int, b: int) -> int:\n if not (isinstance(a, int) and isinstance(b, int)):\n raise TypeError(\"a and b must be int\...
math
[ { "role": "user", "content": "Make a function `gcd` to compute the greatest common divisor. Avoid mutating the input." }, { "role": "assistant", "content": "def gcd(a: int, b: int) -> int:\n if not (isinstance(a, int) and isinstance(b, int)):\n raise TypeError(\"a and b must be int\")\...
math
[ { "role": "user", "content": "Create `gcd(integers a and b)` returning the gcd. Include basic type checks." }, { "role": "assistant", "content": "def gcd(a: int, b: int) -> int:\n if not (isinstance(a, int) and isinstance(b, int)):\n raise TypeError(\"a and b must be int\")\n a, b =...
math
[ { "role": "user", "content": "Implement `gcd` with proper validation: compute the greatest common divisor. Add a brief docstring." }, { "role": "assistant", "content": "def gcd(a: int, b: int) -> int:\n if not (isinstance(a, int) and isinstance(b, int)):\n raise TypeError(\"a and b mus...
math
[ { "role": "user", "content": "Write `gcd` in Python. It should compute the greatest common divisor. Make it robust to invalid input." }, { "role": "assistant", "content": "def gcd(a: int, b: int) -> int:\n if not (isinstance(a, int) and isinstance(b, int)):\n raise TypeError(\"a and b ...
math
[ { "role": "user", "content": "Add a function `gcd` that compute the greatest common divisor. Add a brief docstring." }, { "role": "assistant", "content": "def gcd(a: int, b: int) -> int:\n if not (isinstance(a, int) and isinstance(b, int)):\n raise TypeError(\"a and b must be int\")\n ...
math
[ { "role": "user", "content": "Implement `gcd` returning the gcd given integers a and b. Add a brief docstring." }, { "role": "assistant", "content": "def gcd(a: int, b: int) -> int:\n if not (isinstance(a, int) and isinstance(b, int)):\n raise TypeError(\"a and b must be int\")\n a,...
math
[ { "role": "user", "content": "Construct `gcd` to compute the greatest common divisor. " }, { "role": "assistant", "content": "def gcd(a: int, b: int) -> int:\n if not (isinstance(a, int) and isinstance(b, int)):\n raise TypeError(\"a and b must be int\")\n a, b = abs(a), abs(b)\n ...
math
[ { "role": "user", "content": "Implement `gcd` with proper validation: compute the greatest common divisor. Handle empty input gracefully." }, { "role": "assistant", "content": "def gcd(a: int, b: int) -> int:\n if not (isinstance(a, int) and isinstance(b, int)):\n raise TypeError(\"a a...
math
[ { "role": "user", "content": "Code a function `gcd` to compute the greatest common divisor. Keep it efficient." }, { "role": "assistant", "content": "def gcd(a: int, b: int) -> int:\n if not (isinstance(a, int) and isinstance(b, int)):\n raise TypeError(\"a and b must be int\")\n a,...
math
[ { "role": "user", "content": "Produce a clean implementation of `gcd`: compute the greatest common divisor. Add a brief docstring." }, { "role": "assistant", "content": "def gcd(a: int, b: int) -> int:\n if not (isinstance(a, int) and isinstance(b, int)):\n raise TypeError(\"a and b mu...
math
[ { "role": "user", "content": "Can you write code for `gcd` that compute the greatest common divisor? Avoid mutating the input." }, { "role": "assistant", "content": "def gcd(a: int, b: int) -> int:\n if not (isinstance(a, int) and isinstance(b, int)):\n raise TypeError(\"a and b must b...
math
[ { "role": "user", "content": "Write `gcd` handling edge cases; it should compute the greatest common divisor. Include basic type checks." }, { "role": "assistant", "content": "def gcd(a: int, b: int) -> int:\n if not (isinstance(a, int) and isinstance(b, int)):\n raise TypeError(\"a an...
math
[ { "role": "user", "content": "Code a function `gcd` to compute the greatest common divisor. " }, { "role": "assistant", "content": "def gcd(a: int, b: int) -> int:\n if not (isinstance(a, int) and isinstance(b, int)):\n raise TypeError(\"a and b must be int\")\n a, b = abs(a), abs(b...
math
[ { "role": "user", "content": "Implement `gcd` with proper validation: compute the greatest common divisor. Include basic type checks." }, { "role": "assistant", "content": "def gcd(a: int, b: int) -> int:\n if not (isinstance(a, int) and isinstance(b, int)):\n raise TypeError(\"a and b...
math
[ { "role": "user", "content": "Help me write `gcd` that compute the greatest common divisor. Return sensible defaults for edge cases." }, { "role": "assistant", "content": "def gcd(a: int, b: int) -> int:\n if not (isinstance(a, int) and isinstance(b, int)):\n raise TypeError(\"a and b ...
math
[ { "role": "user", "content": "Write `gcd` in Python. It should compute the greatest common divisor. " }, { "role": "assistant", "content": "def gcd(a: int, b: int) -> int:\n if not (isinstance(a, int) and isinstance(b, int)):\n raise TypeError(\"a and b must be int\")\n a, b = abs(a...
math
[ { "role": "user", "content": "Create `gcd(integers a and b)` returning the gcd. Avoid mutating the input." }, { "role": "assistant", "content": "def gcd(a: int, b: int) -> int:\n if not (isinstance(a, int) and isinstance(b, int)):\n raise TypeError(\"a and b must be int\")\n a, b = ...
math
[ { "role": "user", "content": "Draft a Python function `gcd` to compute the greatest common divisor. Return sensible defaults for edge cases." }, { "role": "assistant", "content": "def gcd(a: int, b: int) -> int:\n if not (isinstance(a, int) and isinstance(b, int)):\n raise TypeError(\"...
math
[ { "role": "user", "content": "Implement the function `gcd` (integers a and b) -> the gcd. Include basic type checks." }, { "role": "assistant", "content": "def gcd(a: int, b: int) -> int:\n if not (isinstance(a, int) and isinstance(b, int)):\n raise TypeError(\"a and b must be int\")\n...
math
[ { "role": "user", "content": "Create a robust `gcd` that compute the greatest common divisor. " }, { "role": "assistant", "content": "def gcd(a: int, b: int) -> int:\n if not (isinstance(a, int) and isinstance(b, int)):\n raise TypeError(\"a and b must be int\")\n a, b = abs(a), abs...
math
[ { "role": "user", "content": "Develop `gcd` such that it compute the greatest common divisor. Make it robust to invalid input." }, { "role": "assistant", "content": "def gcd(a: int, b: int) -> int:\n if not (isinstance(a, int) and isinstance(b, int)):\n raise TypeError(\"a and b must b...
math
[ { "role": "user", "content": "Create a utility function named `gcd` which compute the greatest common divisor. " }, { "role": "assistant", "content": "def gcd(a: int, b: int) -> int:\n if not (isinstance(a, int) and isinstance(b, int)):\n raise TypeError(\"a and b must be int\")\n a...
math
[ { "role": "user", "content": "Draft a Python function `gcd` to compute the greatest common divisor. Keep it efficient." }, { "role": "assistant", "content": "def gcd(a: int, b: int) -> int:\n if not (isinstance(a, int) and isinstance(b, int)):\n raise TypeError(\"a and b must be int\")...
math
[ { "role": "user", "content": "Add a function `gcd` that compute the greatest common divisor. " }, { "role": "assistant", "content": "def gcd(a: int, b: int) -> int:\n if not (isinstance(a, int) and isinstance(b, int)):\n raise TypeError(\"a and b must be int\")\n a, b = abs(a), abs(...
math
[ { "role": "user", "content": "Provide a Python solution for `gcd`: compute the greatest common divisor. Make it robust to invalid input." }, { "role": "assistant", "content": "def gcd(a: int, b: int) -> int:\n if not (isinstance(a, int) and isinstance(b, int)):\n raise TypeError(\"a an...
math
[ { "role": "user", "content": "Implement `gcd`. It should compute the greatest common divisor. Add a brief docstring." }, { "role": "assistant", "content": "def gcd(a: int, b: int) -> int:\n if not (isinstance(a, int) and isinstance(b, int)):\n raise TypeError(\"a and b must be int\")\n...
math
[ { "role": "user", "content": "Help me write `gcd` that compute the greatest common divisor. Handle empty input gracefully." }, { "role": "assistant", "content": "def gcd(a: int, b: int) -> int:\n if not (isinstance(a, int) and isinstance(b, int)):\n raise TypeError(\"a and b must be in...
math