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[ { "role": "user", "content": "Add a function `is_perfect_square` that check whether n is a perfect square. Avoid mutating the input." }, { "role": "assistant", "content": "def is_perfect_square(n: int) -> bool:\n if not isinstance(n, int) or n < 0:\n return False\n if n == 0:\n ...
math
[ { "role": "user", "content": "Develop `is_perfect_square` such that it check whether n is a perfect square. Include basic type checks." }, { "role": "assistant", "content": "def is_perfect_square(n: int) -> bool:\n if not isinstance(n, int) or n < 0:\n return False\n if n == 0:\n ...
math
[ { "role": "user", "content": "Implement `is_perfect_square`. It should check whether n is a perfect square. Use only the standard library." }, { "role": "assistant", "content": "def is_perfect_square(n: int) -> bool:\n if not isinstance(n, int) or n < 0:\n return False\n if n == 0:\...
math
[ { "role": "user", "content": "Write code for `is_perfect_square` (an integer n) that check whether n is a perfect square. Keep it efficient." }, { "role": "assistant", "content": "def is_perfect_square(n: int) -> bool:\n if not isinstance(n, int) or n < 0:\n return False\n if n == 0...
math
[ { "role": "user", "content": "Please provide `is_perfect_square` that check whether n is a perfect square. Avoid mutating the input." }, { "role": "assistant", "content": "def is_perfect_square(n: int) -> bool:\n if not isinstance(n, int) or n < 0:\n return False\n if n == 0:\n ...
math
[ { "role": "user", "content": "Write `is_perfect_square`: check whether n is a perfect square. " }, { "role": "assistant", "content": "def is_perfect_square(n: int) -> bool:\n if not isinstance(n, int) or n < 0:\n return False\n if n == 0:\n return True\n x = int(n ** 0.5)\...
math
[ { "role": "user", "content": "Formulate `is_perfect_square` to check whether n is a perfect square. Add a brief docstring." }, { "role": "assistant", "content": "def is_perfect_square(n: int) -> bool:\n if not isinstance(n, int) or n < 0:\n return False\n if n == 0:\n return ...
math
[ { "role": "user", "content": "I need a Python helper `is_perfect_square` that check whether n is a perfect square. Handle empty input gracefully." }, { "role": "assistant", "content": "def is_perfect_square(n: int) -> bool:\n if not isinstance(n, int) or n < 0:\n return False\n if n...
math
[ { "role": "user", "content": "Implement `is_perfect_square` with proper validation: check whether n is a perfect square. Include basic type checks." }, { "role": "assistant", "content": "def is_perfect_square(n: int) -> bool:\n if not isinstance(n, int) or n < 0:\n return False\n if...
math
[ { "role": "user", "content": "Construct `is_perfect_square` to check whether n is a perfect square. Make it robust to invalid input." }, { "role": "assistant", "content": "def is_perfect_square(n: int) -> bool:\n if not isinstance(n, int) or n < 0:\n return False\n if n == 0:\n ...
math
[ { "role": "user", "content": "Code a function `is_perfect_square` to check whether n is a perfect square. Include basic type checks." }, { "role": "assistant", "content": "def is_perfect_square(n: int) -> bool:\n if not isinstance(n, int) or n < 0:\n return False\n if n == 0:\n ...
math
[ { "role": "user", "content": "Code a function `is_perfect_square` to check whether n is a perfect square. Use only the standard library." }, { "role": "assistant", "content": "def is_perfect_square(n: int) -> bool:\n if not isinstance(n, int) or n < 0:\n return False\n if n == 0:\n ...
math
[ { "role": "user", "content": "Add a function `is_perfect_square` that check whether n is a perfect square. Return sensible defaults for edge cases." }, { "role": "assistant", "content": "def is_perfect_square(n: int) -> bool:\n if not isinstance(n, int) or n < 0:\n return False\n if...
math
[ { "role": "user", "content": "Create a utility function named `is_perfect_square` which check whether n is a perfect square. Keep it efficient." }, { "role": "assistant", "content": "def is_perfect_square(n: int) -> bool:\n if not isinstance(n, int) or n < 0:\n return False\n if n =...
math
[ { "role": "user", "content": "Add a function `is_perfect_square` that check whether n is a perfect square. Include basic type checks." }, { "role": "assistant", "content": "def is_perfect_square(n: int) -> bool:\n if not isinstance(n, int) or n < 0:\n return False\n if n == 0:\n ...
math
[ { "role": "user", "content": "Develop `is_perfect_square` such that it check whether n is a perfect square. Make it robust to invalid input." }, { "role": "assistant", "content": "def is_perfect_square(n: int) -> bool:\n if not isinstance(n, int) or n < 0:\n return False\n if n == 0...
math
[ { "role": "user", "content": "Implement `is_perfect_square` returning True if perfect square given an integer n. Add a brief docstring." }, { "role": "assistant", "content": "def is_perfect_square(n: int) -> bool:\n if not isinstance(n, int) or n < 0:\n return False\n if n == 0:\n ...
math
[ { "role": "user", "content": "Formulate `is_perfect_square` to check whether n is a perfect square. Keep it efficient." }, { "role": "assistant", "content": "def is_perfect_square(n: int) -> bool:\n if not isinstance(n, int) or n < 0:\n return False\n if n == 0:\n return True...
math
[ { "role": "user", "content": "Create a robust `is_perfect_square` that check whether n is a perfect square. Use only the standard library." }, { "role": "assistant", "content": "def is_perfect_square(n: int) -> bool:\n if not isinstance(n, int) or n < 0:\n return False\n if n == 0:\...
math
[ { "role": "user", "content": "Can you write code for `is_perfect_square` that check whether n is a perfect square? Use only the standard library." }, { "role": "assistant", "content": "def is_perfect_square(n: int) -> bool:\n if not isinstance(n, int) or n < 0:\n return False\n if n...
math
[ { "role": "user", "content": "I need a Python helper `is_perfect_square` that check whether n is a perfect square. Keep it efficient." }, { "role": "assistant", "content": "def is_perfect_square(n: int) -> bool:\n if not isinstance(n, int) or n < 0:\n return False\n if n == 0:\n ...
math
[ { "role": "user", "content": "I need a Python helper `is_perfect_square` that check whether n is a perfect square. Return sensible defaults for edge cases." }, { "role": "assistant", "content": "def is_perfect_square(n: int) -> bool:\n if not isinstance(n, int) or n < 0:\n return False...
math
[ { "role": "user", "content": "Write `is_perfect_square` in Python. It should check whether n is a perfect square. Return sensible defaults for edge cases." }, { "role": "assistant", "content": "def is_perfect_square(n: int) -> bool:\n if not isinstance(n, int) or n < 0:\n return False\...
math
[ { "role": "user", "content": "Define a function `is_perfect_square` taking an integer n and returning True if perfect square. Use only the standard library." }, { "role": "assistant", "content": "def is_perfect_square(n: int) -> bool:\n if not isinstance(n, int) or n < 0:\n return Fals...
math
[ { "role": "user", "content": "Build a function `is_perfect_square` that check whether n is a perfect square, with edge-case handling. Make it robust to invalid input." }, { "role": "assistant", "content": "def is_perfect_square(n: int) -> bool:\n if not isinstance(n, int) or n < 0:\n r...
math
[ { "role": "user", "content": "Implement `is_perfect_square` returning True if perfect square given an integer n. Use only the standard library." }, { "role": "assistant", "content": "def is_perfect_square(n: int) -> bool:\n if not isinstance(n, int) or n < 0:\n return False\n if n =...
math
[ { "role": "user", "content": "Implement `digit_sum`. It should sum the decimal digits of an integer. Include basic type checks." }, { "role": "assistant", "content": "def digit_sum(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n n = abs(n)\n to...
math
[ { "role": "user", "content": "Please provide `digit_sum` that sum the decimal digits of an integer. Include basic type checks." }, { "role": "assistant", "content": "def digit_sum(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n n = abs(n)\n tot...
math
[ { "role": "user", "content": "Code a function `digit_sum` to sum the decimal digits of an integer. Avoid mutating the input." }, { "role": "assistant", "content": "def digit_sum(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n n = abs(n)\n total...
math
[ { "role": "user", "content": "Implement `digit_sum`. It should sum the decimal digits of an integer. Add a brief docstring." }, { "role": "assistant", "content": "def digit_sum(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n n = abs(n)\n total ...
math
[ { "role": "user", "content": "Implement `digit_sum` returning the digit sum given an integer n. Return sensible defaults for edge cases." }, { "role": "assistant", "content": "def digit_sum(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n n = abs(n...
math
[ { "role": "user", "content": "Write a reusable function `digit_sum` which sum the decimal digits of an integer. Include basic type checks." }, { "role": "assistant", "content": "def digit_sum(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n n = abs...
math
[ { "role": "user", "content": "I need a Python helper `digit_sum` that sum the decimal digits of an integer. Avoid mutating the input." }, { "role": "assistant", "content": "def digit_sum(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n n = abs(n)\n...
math
[ { "role": "user", "content": "Write code for `digit_sum` (an integer n) that sum the decimal digits of an integer. " }, { "role": "assistant", "content": "def digit_sum(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n n = abs(n)\n total = 0\n ...
math
[ { "role": "user", "content": "Define a function `digit_sum` taking an integer n and returning the digit sum. " }, { "role": "assistant", "content": "def digit_sum(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n n = abs(n)\n total = 0\n while...
math
[ { "role": "user", "content": "Draft a Python function `digit_sum` to sum the decimal digits of an integer. Include basic type checks." }, { "role": "assistant", "content": "def digit_sum(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n n = abs(n)\n...
math
[ { "role": "user", "content": "Formulate `digit_sum` to sum the decimal digits of an integer. Use only the standard library." }, { "role": "assistant", "content": "def digit_sum(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n n = abs(n)\n total ...
math
[ { "role": "user", "content": "Implement the function `digit_sum` (an integer n) -> the digit sum. Avoid mutating the input." }, { "role": "assistant", "content": "def digit_sum(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n n = abs(n)\n total ...
math
[ { "role": "user", "content": "Generate a Python function `digit_sum` for sum the decimal digits of an integer. Avoid mutating the input." }, { "role": "assistant", "content": "def digit_sum(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n n = abs(n...
math
[ { "role": "user", "content": "Implement `digit_sum(an integer n)` to sum the decimal digits of an integer. Keep it efficient." }, { "role": "assistant", "content": "def digit_sum(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n n = abs(n)\n tota...
math
[ { "role": "user", "content": "Provide a Python solution for `digit_sum`: sum the decimal digits of an integer. Handle empty input gracefully." }, { "role": "assistant", "content": "def digit_sum(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n n = ...
math
[ { "role": "user", "content": "Provide a Python solution for `digit_sum`: sum the decimal digits of an integer. Return sensible defaults for edge cases." }, { "role": "assistant", "content": "def digit_sum(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")...
math
[ { "role": "user", "content": "Add a function `digit_sum` that sum the decimal digits of an integer. Avoid mutating the input." }, { "role": "assistant", "content": "def digit_sum(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n n = abs(n)\n tota...
math
[ { "role": "user", "content": "Implement `digit_sum` with proper validation: sum the decimal digits of an integer. Make it robust to invalid input." }, { "role": "assistant", "content": "def digit_sum(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n ...
math
[ { "role": "user", "content": "Implement `digit_sum` returning the digit sum given an integer n. Add a brief docstring." }, { "role": "assistant", "content": "def digit_sum(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n n = abs(n)\n total = 0\n...
math
[ { "role": "user", "content": "Develop `digit_sum` such that it sum the decimal digits of an integer. " }, { "role": "assistant", "content": "def digit_sum(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n n = abs(n)\n total = 0\n while n:\n ...
math
[ { "role": "user", "content": "Produce a clean implementation of `digit_sum`: sum the decimal digits of an integer. Return sensible defaults for edge cases." }, { "role": "assistant", "content": "def digit_sum(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be in...
math
[ { "role": "user", "content": "Write `digit_sum`: sum the decimal digits of an integer. Add a brief docstring." }, { "role": "assistant", "content": "def digit_sum(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n n = abs(n)\n total = 0\n while...
math
[ { "role": "user", "content": "I need a Python helper `digit_sum` that sum the decimal digits of an integer. Add a brief docstring." }, { "role": "assistant", "content": "def digit_sum(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n n = abs(n)\n ...
math
[ { "role": "user", "content": "Write code for `digit_sum` (an integer n) that sum the decimal digits of an integer. Make it robust to invalid input." }, { "role": "assistant", "content": "def digit_sum(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n ...
math
[ { "role": "user", "content": "Help me write `digit_sum` that sum the decimal digits of an integer. Include basic type checks." }, { "role": "assistant", "content": "def digit_sum(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n n = abs(n)\n tota...
math
[ { "role": "user", "content": "Code a function `digit_sum` to sum the decimal digits of an integer. " }, { "role": "assistant", "content": "def digit_sum(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n n = abs(n)\n total = 0\n while n:\n ...
math
[ { "role": "user", "content": "Create `digit_sum(an integer n)` returning the digit sum. Make it robust to invalid input." }, { "role": "assistant", "content": "def digit_sum(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n n = abs(n)\n total = 0...
math
[ { "role": "user", "content": "Write code for `digit_sum` (an integer n) that sum the decimal digits of an integer. Return sensible defaults for edge cases." }, { "role": "assistant", "content": "def digit_sum(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be in...
math
[ { "role": "user", "content": "Define a function `digit_sum` taking an integer n and returning the digit sum. Add a brief docstring." }, { "role": "assistant", "content": "def digit_sum(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n n = abs(n)\n ...
math
[ { "role": "user", "content": "Construct `digit_sum` to sum the decimal digits of an integer. Avoid mutating the input." }, { "role": "assistant", "content": "def digit_sum(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"n must be int\")\n n = abs(n)\n total = 0\n...
math
[ { "role": "user", "content": "Build a function `digit_sum` that sum the decimal digits of an integer, with edge-case handling. Return sensible defaults for edge cases." }, { "role": "assistant", "content": "def digit_sum(n: int) -> int:\n if not isinstance(n, int):\n raise TypeError(\"...
math
[ { "role": "user", "content": "Create a robust `collatz_steps` that count Collatz steps to reach 1. Handle empty input gracefully." }, { "role": "assistant", "content": "def collatz_steps(n: int) -> int:\n if not isinstance(n, int) or n < 1:\n raise ValueError(\"n must be positive int\"...
math
[ { "role": "user", "content": "Construct `collatz_steps` to count Collatz steps to reach 1. " }, { "role": "assistant", "content": "def collatz_steps(n: int) -> int:\n if not isinstance(n, int) or n < 1:\n raise ValueError(\"n must be positive int\")\n steps = 0\n while n != 1:\n ...
math
[ { "role": "user", "content": "Provide a Python solution for `collatz_steps`: count Collatz steps to reach 1. Handle empty input gracefully." }, { "role": "assistant", "content": "def collatz_steps(n: int) -> int:\n if not isinstance(n, int) or n < 1:\n raise ValueError(\"n must be posi...
math
[ { "role": "user", "content": "Write `collatz_steps` in Python. It should count Collatz steps to reach 1. Include basic type checks." }, { "role": "assistant", "content": "def collatz_steps(n: int) -> int:\n if not isinstance(n, int) or n < 1:\n raise ValueError(\"n must be positive int...
math
[ { "role": "user", "content": "Implement `collatz_steps` with proper validation: count Collatz steps to reach 1. Handle empty input gracefully." }, { "role": "assistant", "content": "def collatz_steps(n: int) -> int:\n if not isinstance(n, int) or n < 1:\n raise ValueError(\"n must be p...
math
[ { "role": "user", "content": "Help me write `collatz_steps` that count Collatz steps to reach 1. Keep it efficient." }, { "role": "assistant", "content": "def collatz_steps(n: int) -> int:\n if not isinstance(n, int) or n < 1:\n raise ValueError(\"n must be positive int\")\n steps =...
math
[ { "role": "user", "content": "Write a reusable function `collatz_steps` which count Collatz steps to reach 1. Return sensible defaults for edge cases." }, { "role": "assistant", "content": "def collatz_steps(n: int) -> int:\n if not isinstance(n, int) or n < 1:\n raise ValueError(\"n m...
math
[ { "role": "user", "content": "Generate a Python function `collatz_steps` for count Collatz steps to reach 1. Handle empty input gracefully." }, { "role": "assistant", "content": "def collatz_steps(n: int) -> int:\n if not isinstance(n, int) or n < 1:\n raise ValueError(\"n must be posi...
math
[ { "role": "user", "content": "Generate a Python function `collatz_steps` for count Collatz steps to reach 1. Include basic type checks." }, { "role": "assistant", "content": "def collatz_steps(n: int) -> int:\n if not isinstance(n, int) or n < 1:\n raise ValueError(\"n must be positive...
math
[ { "role": "user", "content": "Create a robust `collatz_steps` that count Collatz steps to reach 1. Make it robust to invalid input." }, { "role": "assistant", "content": "def collatz_steps(n: int) -> int:\n if not isinstance(n, int) or n < 1:\n raise ValueError(\"n must be positive int...
math
[ { "role": "user", "content": "Produce a clean implementation of `collatz_steps`: count Collatz steps to reach 1. Add a brief docstring." }, { "role": "assistant", "content": "def collatz_steps(n: int) -> int:\n if not isinstance(n, int) or n < 1:\n raise ValueError(\"n must be positive...
math
[ { "role": "user", "content": "I need a Python helper `collatz_steps` that count Collatz steps to reach 1. Add a brief docstring." }, { "role": "assistant", "content": "def collatz_steps(n: int) -> int:\n if not isinstance(n, int) or n < 1:\n raise ValueError(\"n must be positive int\")...
math
[ { "role": "user", "content": "Formulate `collatz_steps` to count Collatz steps to reach 1. Return sensible defaults for edge cases." }, { "role": "assistant", "content": "def collatz_steps(n: int) -> int:\n if not isinstance(n, int) or n < 1:\n raise ValueError(\"n must be positive int...
math
[ { "role": "user", "content": "Add a function `collatz_steps` that count Collatz steps to reach 1. Add a brief docstring." }, { "role": "assistant", "content": "def collatz_steps(n: int) -> int:\n if not isinstance(n, int) or n < 1:\n raise ValueError(\"n must be positive int\")\n st...
math
[ { "role": "user", "content": "I need a Python helper `collatz_steps` that count Collatz steps to reach 1. Keep it efficient." }, { "role": "assistant", "content": "def collatz_steps(n: int) -> int:\n if not isinstance(n, int) or n < 1:\n raise ValueError(\"n must be positive int\")\n ...
math
[ { "role": "user", "content": "Write a reusable function `collatz_steps` which count Collatz steps to reach 1. Avoid mutating the input." }, { "role": "assistant", "content": "def collatz_steps(n: int) -> int:\n if not isinstance(n, int) or n < 1:\n raise ValueError(\"n must be positive...
math
[ { "role": "user", "content": "Generate a Python function `collatz_steps` for count Collatz steps to reach 1. Return sensible defaults for edge cases." }, { "role": "assistant", "content": "def collatz_steps(n: int) -> int:\n if not isinstance(n, int) or n < 1:\n raise ValueError(\"n mu...
math
[ { "role": "user", "content": "Add a function `collatz_steps` that count Collatz steps to reach 1. " }, { "role": "assistant", "content": "def collatz_steps(n: int) -> int:\n if not isinstance(n, int) or n < 1:\n raise ValueError(\"n must be positive int\")\n steps = 0\n while n !...
math
[ { "role": "user", "content": "Write `collatz_steps` handling edge cases; it should count Collatz steps to reach 1. Handle empty input gracefully." }, { "role": "assistant", "content": "def collatz_steps(n: int) -> int:\n if not isinstance(n, int) or n < 1:\n raise ValueError(\"n must b...
math
[ { "role": "user", "content": "Provide a Python solution for `collatz_steps`: count Collatz steps to reach 1. Make it robust to invalid input." }, { "role": "assistant", "content": "def collatz_steps(n: int) -> int:\n if not isinstance(n, int) or n < 1:\n raise ValueError(\"n must be po...
math
[ { "role": "user", "content": "Code a function `collatz_steps` to count Collatz steps to reach 1. Include basic type checks." }, { "role": "assistant", "content": "def collatz_steps(n: int) -> int:\n if not isinstance(n, int) or n < 1:\n raise ValueError(\"n must be positive int\")\n ...
math
[ { "role": "user", "content": "Implement `collatz_steps`. It should count Collatz steps to reach 1. Return sensible defaults for edge cases." }, { "role": "assistant", "content": "def collatz_steps(n: int) -> int:\n if not isinstance(n, int) or n < 1:\n raise ValueError(\"n must be posi...
math
[ { "role": "user", "content": "Develop `collatz_steps` such that it count Collatz steps to reach 1. Avoid mutating the input." }, { "role": "assistant", "content": "def collatz_steps(n: int) -> int:\n if not isinstance(n, int) or n < 1:\n raise ValueError(\"n must be positive int\")\n ...
math
[ { "role": "user", "content": "Write a reusable function `collatz_steps` which count Collatz steps to reach 1. " }, { "role": "assistant", "content": "def collatz_steps(n: int) -> int:\n if not isinstance(n, int) or n < 1:\n raise ValueError(\"n must be positive int\")\n steps = 0\n ...
math
[ { "role": "user", "content": "Code a function `collatz_steps` to count Collatz steps to reach 1. Handle empty input gracefully." }, { "role": "assistant", "content": "def collatz_steps(n: int) -> int:\n if not isinstance(n, int) or n < 1:\n raise ValueError(\"n must be positive int\")\...
math
[ { "role": "user", "content": "Create a utility function named `collatz_steps` which count Collatz steps to reach 1. Add a brief docstring." }, { "role": "assistant", "content": "def collatz_steps(n: int) -> int:\n if not isinstance(n, int) or n < 1:\n raise ValueError(\"n must be posit...
math
[ { "role": "user", "content": "Create `collatz_steps(a positive integer n)` returning the number of steps. Make it robust to invalid input." }, { "role": "assistant", "content": "def collatz_steps(n: int) -> int:\n if not isinstance(n, int) or n < 1:\n raise ValueError(\"n must be posit...
math
[ { "role": "user", "content": "Please provide `collatz_steps` that count Collatz steps to reach 1. Handle empty input gracefully." }, { "role": "assistant", "content": "def collatz_steps(n: int) -> int:\n if not isinstance(n, int) or n < 1:\n raise ValueError(\"n must be positive int\")...
math
[ { "role": "user", "content": "Create a robust `collatz_steps` that count Collatz steps to reach 1. Avoid mutating the input." }, { "role": "assistant", "content": "def collatz_steps(n: int) -> int:\n if not isinstance(n, int) or n < 1:\n raise ValueError(\"n must be positive int\")\n ...
math
[ { "role": "user", "content": "Can you write code for `collatz_steps` that count Collatz steps to reach 1? Return sensible defaults for edge cases." }, { "role": "assistant", "content": "def collatz_steps(n: int) -> int:\n if not isinstance(n, int) or n < 1:\n raise ValueError(\"n must ...
math
[ { "role": "user", "content": "Construct `collatz_steps` to count Collatz steps to reach 1. Keep it efficient." }, { "role": "assistant", "content": "def collatz_steps(n: int) -> int:\n if not isinstance(n, int) or n < 1:\n raise ValueError(\"n must be positive int\")\n steps = 0\n ...
math
[ { "role": "user", "content": "Draft a Python function `binomial` to compute the binomial coefficient C(n,k). Make it robust to invalid input." }, { "role": "assistant", "content": "def binomial(n: int, k: int) -> int:\n if not (isinstance(n, int) and isinstance(k, int)):\n raise TypeEr...
math
[ { "role": "user", "content": "Please provide `binomial` that compute the binomial coefficient C(n,k). Keep it efficient." }, { "role": "assistant", "content": "def binomial(n: int, k: int) -> int:\n if not (isinstance(n, int) and isinstance(k, int)):\n raise TypeError(\"n and k must be...
math
[ { "role": "user", "content": "Create a utility function named `binomial` which compute the binomial coefficient C(n,k). Keep it efficient." }, { "role": "assistant", "content": "def binomial(n: int, k: int) -> int:\n if not (isinstance(n, int) and isinstance(k, int)):\n raise TypeError...
math
[ { "role": "user", "content": "Implement `binomial` with proper validation: compute the binomial coefficient C(n,k). " }, { "role": "assistant", "content": "def binomial(n: int, k: int) -> int:\n if not (isinstance(n, int) and isinstance(k, int)):\n raise TypeError(\"n and k must be int...
math
[ { "role": "user", "content": "Create `binomial(integers n and k)` returning C(n,k). Return sensible defaults for edge cases." }, { "role": "assistant", "content": "def binomial(n: int, k: int) -> int:\n if not (isinstance(n, int) and isinstance(k, int)):\n raise TypeError(\"n and k mus...
math
[ { "role": "user", "content": "Please provide `binomial` that compute the binomial coefficient C(n,k). Add a brief docstring." }, { "role": "assistant", "content": "def binomial(n: int, k: int) -> int:\n if not (isinstance(n, int) and isinstance(k, int)):\n raise TypeError(\"n and k mus...
math
[ { "role": "user", "content": "Build a function `binomial` that compute the binomial coefficient C(n,k), with edge-case handling. Avoid mutating the input." }, { "role": "assistant", "content": "def binomial(n: int, k: int) -> int:\n if not (isinstance(n, int) and isinstance(k, int)):\n ...
math
[ { "role": "user", "content": "Implement `binomial(integers n and k)` to compute the binomial coefficient C(n,k). Use only the standard library." }, { "role": "assistant", "content": "def binomial(n: int, k: int) -> int:\n if not (isinstance(n, int) and isinstance(k, int)):\n raise Type...
math
[ { "role": "user", "content": "Construct `binomial` to compute the binomial coefficient C(n,k). Add a brief docstring." }, { "role": "assistant", "content": "def binomial(n: int, k: int) -> int:\n if not (isinstance(n, int) and isinstance(k, int)):\n raise TypeError(\"n and k must be in...
math
[ { "role": "user", "content": "Generate a Python function `binomial` for compute the binomial coefficient C(n,k). Handle empty input gracefully." }, { "role": "assistant", "content": "def binomial(n: int, k: int) -> int:\n if not (isinstance(n, int) and isinstance(k, int)):\n raise Type...
math
[ { "role": "user", "content": "Help me write `binomial` that compute the binomial coefficient C(n,k). " }, { "role": "assistant", "content": "def binomial(n: int, k: int) -> int:\n if not (isinstance(n, int) and isinstance(k, int)):\n raise TypeError(\"n and k must be int\")\n if k <...
math
[ { "role": "user", "content": "Write a reusable function `binomial` which compute the binomial coefficient C(n,k). Handle empty input gracefully." }, { "role": "assistant", "content": "def binomial(n: int, k: int) -> int:\n if not (isinstance(n, int) and isinstance(k, int)):\n raise Typ...
math