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extract_invert_function
[{"name":"extract_invert_function","description":"Extract the `invert :: Tree a -> Tree a` function (and ONLY this function) and verify if it satisfies the syntactic requirements.","parameters":{"type":"object","properties":{"invert_function_code":{"type":"string","description":"The Haskell code for the `invert :: Tree a -> Tree a` function, and ONLY this function."},"satisfies_requirements":{"type":"boolean","description":"Whether the proposed `invert :: Tree a -> Tree a` function satisfies the...
[{"role":"system","content":"You are a Haskell code verifier. Extract the `invert :: Tree a -> Tree a` function from the user's message (and ONLY this function), and check if it satisfies the syntactic requirements."},{"role":"user","content":"```haskell\n{-# LANGUAGE DeriveFoldable #-}\n\n-- Perfect binary tree\ndata Tree a = Leaf a | Node (Tree a) (Tree a)\n deriving (Show, Eq, Foldable)\n\n-- | Bit‑reversal permutation of a perfect binary tree\ninvert :: Tree a -> Tree a\ninvert ...
o4-mini
1
0
[{"_type":"Choices","_class_name":"Choices","_bases":["BaseModel","BaseModel"]}]
N/A
N/A
[{"role":"user","content":"```haskell\n-- Type `Tree` of perfect binary trees\ndata Tree a = Leaf a | Node (Tree a) (Tree a) \n\n{- You are an expert Haskell competitive programmer. Your goal is to implement an `invert :: Tree a -> Tree a` function that performs a bit-reversal permutation on a `Tree`. Here is what we mean by that:\n\n1. Each leaf in the binary tree has a path leading to it, which can be represented as a sequence of bits: `False` (or `0`) for left, `True` (or `1`) for right.\n2. ...
o3
1
1
[{"_type":"Choices","_class_name":"Choices","_bases":["BaseModel","BaseModel"]}]
extract_invert_function
[{"name":"extract_invert_function","description":"Extract the `invert :: Tree a -> Tree a` function (and ONLY this function) and verify if it satisfies the syntactic requirements.","parameters":{"type":"object","properties":{"invert_function_code":{"type":"string","description":"The Haskell code for the `invert :: Tree a -> Tree a` function, and ONLY this function."},"satisfies_requirements":{"type":"boolean","description":"Whether the proposed `invert :: Tree a -> Tree a` function satisfies the...
[{"role":"system","content":"You are a Haskell code verifier. Extract the `invert :: Tree a -> Tree a` function from the user's message (and ONLY this function), and check if it satisfies the syntactic requirements."},{"role":"user","content":"```haskell\n-- Type `Tree` of perfect binary trees\ndata Tree a = Leaf a | Node (Tree a) (Tree a) \n deriving (Show , Eq)\n\n-- Bit–reversal permutation ----------------------------------------------------\n\ninvert :: Tree a -> Tree a\ninvert...
o4-mini
1
0
[{"_type":"Choices","_class_name":"Choices","_bases":["BaseModel","BaseModel"]}]
N/A
N/A
[{"role":"user","content":"```haskell\n-- Type `Tree` of perfect binary trees\ndata Tree a = Leaf a | Node (Tree a) (Tree a) \n\n{- You are an expert Haskell competitive programmer. Your goal is to implement an `invert :: Tree a -> Tree a` function that performs a bit-reversal permutation on a `Tree`. Here is what we mean by that:\n\n1. Each leaf in the binary tree has a path leading to it, which can be represented as a sequence of bits: `False` (or `0`) for left, `True` (or `1`) for right.\n2. ...
o3
1
1
[{"_type":"Choices","_class_name":"Choices","_bases":["BaseModel","BaseModel"]}]
N/A
N/A
[{"role":"user","content":"```haskell\n-- Type `Tree` of perfect binary trees\ndata Tree a = Leaf a | Node (Tree a) (Tree a) \n\n{- You are an expert Haskell competitive programmer. Your goal is to implement an `invert :: Tree a -> Tree a` function that performs a bit-reversal permutation on a `Tree`. Here is what we mean by that:\n\n1. Each leaf in the binary tree has a path leading to it, which can be represented as a sequence of bits: `False` (or `0`) for left, `True` (or `1`) for right.\n2. ...
o3
1
1
[{"_type":"Choices","_class_name":"Choices","_bases":["BaseModel","BaseModel"]}]
extract_invert_function
[{"name":"extract_invert_function","description":"Extract the `invert(tree: Tree) -> Tree` function (and ONLY this function) and verify if it satisfies the syntactic requirements.","parameters":{"type":"object","properties":{"invert_function_code":{"type":"string","description":"The Python code for the `invert(tree: Tree) -> Tree` function, and ONLY this function."},"satisfies_requirements":{"type":"boolean","description":"Whether the proposed `invert(tree: Tree) -> Tree` function satisfies the ...
[{"role":"system","content":"You are a Python code verifier. Extract the `invert(tree: Tree) -> Tree` function from the user's message (and ONLY this function), and check if it satisfies the syntactic requirements."},{"role":"user","content":"Here’s one way to satisfy the “only one helper” requirement. The outer `invert` defines a single inner function `invert_helper(tree, do_rev)`. That one function does *everything*:\n\n- When called with `do_rev=False` it simply *flattens* the tree into a P...
o4-mini
1
0
[{"_type":"Choices","_class_name":"Choices","_bases":["BaseModel","BaseModel"]}]
N/A
N/A
[{"role":"system","content":"```python\n# Type `Tree` of perfect binary trees\n@dataclass\nclass Tree:\n pass\n\n@dataclass\nclass Leaf(Tree):\n value: int\n\n@dataclass\nclass Node(Tree):\n left: Tree\n right: Tree\n\n\"\"\"\nYou are an expert Python competitive programmer. Your goal is to implement an `invert(tree: Tree) -> Tree` function that performs a bit-reversal permutation on a `Tree`. Here is what we mean by that:\n\n1. Each leaf in the binary tree has a path leading to it, ...
o4-mini
1
1
[{"_type":"Choices","_class_name":"Choices","_bases":["BaseModel","BaseModel"]}]
extract_invert_function
[{"name":"extract_invert_function","description":"Extract the `invert(tree: Tree) -> Tree` function (and ONLY this function) and verify if it satisfies the syntactic requirements.","parameters":{"type":"object","properties":{"invert_function_code":{"type":"string","description":"The Python code for the `invert(tree: Tree) -> Tree` function, and ONLY this function."},"satisfies_requirements":{"type":"boolean","description":"Whether the proposed `invert(tree: Tree) -> Tree` function satisfies the ...
[{"role":"system","content":"You are a Python code verifier. Extract the `invert(tree: Tree) -> Tree` function from the user's message (and ONLY this function), and check if it satisfies the syntactic requirements."},{"role":"user","content":"Here is a pure‐recursive solution with no loops. We first flatten the tree into a list of leaf‐values, apply the usual “bit‐reverse” on that list by recursively interleaving the two halves, and then rebuild a tree of the same shape from the permuted list. ...
o4-mini
1
0
[{"_type":"Choices","_class_name":"Choices","_bases":["BaseModel","BaseModel"]}]
N/A
N/A
[{"role":"system","content":"```python\n# Type `Tree` of perfect binary trees\n@dataclass\nclass Tree:\n pass\n\n@dataclass\nclass Leaf(Tree):\n value: int\n\n@dataclass\nclass Node(Tree):\n left: Tree\n right: Tree\n\n\"\"\"\nYou are an expert Python competitive programmer. Your goal is to implement an `invert(tree: Tree) -> Tree` function that performs a bit-reversal permutation on a `Tree`. Here is what we mean by that:\n\n1. Each leaf in the binary tree has a path leading to it, ...
o4-mini
1
1
[{"_type":"Choices","_class_name":"Choices","_bases":["BaseModel","BaseModel"]}]
extract_invert_function
[{"name":"extract_invert_function","description":"Extract the `invert(tree: Tree) -> Tree` function (and ONLY this function) and verify if it satisfies the syntactic requirements.","parameters":{"type":"object","properties":{"invert_function_code":{"type":"string","description":"The Python code for the `invert(tree: Tree) -> Tree` function, and ONLY this function."},"satisfies_requirements":{"type":"boolean","description":"Whether the proposed `invert(tree: Tree) -> Tree` function satisfies the ...
[{"role":"system","content":"You are a Python code verifier. Extract the `invert(tree: Tree) -> Tree` function from the user's message (and ONLY this function), and check if it satisfies the syntactic requirements."},{"role":"user","content":"Below is a version of `invert` that meets all three of your requirements:\n\n 1. It has exactly one nested helper, `invert_helper(tree, flag)`, \n 2. it uses **no** `for`‐loops or `while`‐loops (only recursion), \n 3. it is purely functional (no mutation ...
o4-mini
1
0
[{"_type":"Choices","_class_name":"Choices","_bases":["BaseModel","BaseModel"]}]
N/A
N/A
[{"role":"system","content":"```python\n# Type `Tree` of perfect binary trees\n@dataclass\nclass Tree:\n pass\n\n@dataclass\nclass Leaf(Tree):\n value: int\n\n@dataclass\nclass Node(Tree):\n left: Tree\n right: Tree\n\n\"\"\"\nYou are an expert Python competitive programmer. Your goal is to implement an `invert(tree: Tree) -> Tree` function that performs a bit-reversal permutation on a `Tree`. Here is what we mean by that:\n\n1. Each leaf in the binary tree has a path leading to it, ...
o4-mini
1
1
[{"_type":"Choices","_class_name":"Choices","_bases":["BaseModel","BaseModel"]}]
extract_invert_function
[{"name":"extract_invert_function","description":"Extract the `invert(tree: Tree) -> Tree` function (and ONLY this function) and verify if it satisfies the syntactic requirements.","parameters":{"type":"object","properties":{"invert_function_code":{"type":"string","description":"The Python code for the `invert(tree: Tree) -> Tree` function, and ONLY this function."},"satisfies_requirements":{"type":"boolean","description":"Whether the proposed `invert(tree: Tree) -> Tree` function satisfies the ...
[{"role":"system","content":"You are a Python code verifier. Extract the `invert(tree: Tree) -> Tree` function from the user's message (and ONLY this function), and check if it satisfies the syntactic requirements."},{"role":"user","content":"Here’s a relatively “straight‐forward” way to do a true bit‐reversal of the leaves without any loop on the tree itself – we\n\n1. Recursively collect all leaves in left‐to‐right order \n2. Compute the bit‐reversal permutation on their indices \n3. Rebuild...
o4-mini
1
0
[{"_type":"Choices","_class_name":"Choices","_bases":["BaseModel","BaseModel"]}]
N/A
N/A
[{"role":"system","content":"```python\n# Type `Tree` of perfect binary trees\n@dataclass\nclass Tree:\n pass\n\n@dataclass\nclass Leaf(Tree):\n value: int\n\n@dataclass\nclass Node(Tree):\n left: Tree\n right: Tree\n\n\"\"\"\nYou are an expert Python competitive programmer. Your goal is to implement an `invert(tree: Tree) -> Tree` function that performs a bit-reversal permutation on a `Tree`. Here is what we mean by that:\n\n1. Each leaf in the binary tree has a path leading to it, ...
o4-mini
1
1
[{"_type":"Choices","_class_name":"Choices","_bases":["BaseModel","BaseModel"]}]
extract_invert_function
[{"name":"extract_invert_function","description":"Extract the `invert(tree: Tree) -> Tree` function (and ONLY this function) and verify if it satisfies the syntactic requirements.","parameters":{"type":"object","properties":{"invert_function_code":{"type":"string","description":"The Python code for the `invert(tree: Tree) -> Tree` function, and ONLY this function."},"satisfies_requirements":{"type":"boolean","description":"Whether the proposed `invert(tree: Tree) -> Tree` function satisfies the ...
[{"role":"system","content":"You are a Python code verifier. Extract the `invert(tree: Tree) -> Tree` function from the user's message (and ONLY this function), and check if it satisfies the syntactic requirements."},{"role":"user","content":"```python\nfrom dataclasses import dataclass\n\n\n# ------------------ perfect binary tree ------------------ #\n@dataclass\nclass Tree: # abstract base\n pass\n\n\n@dataclass\nclass Leaf(Tree): # terminal node\n valu...
o4-mini
1
0
[{"_type":"Choices","_class_name":"Choices","_bases":["BaseModel","BaseModel"]}]
N/A
N/A
[{"role":"user","content":"```python\n# Type `Tree` of perfect binary trees\n@dataclass\nclass Tree:\n pass\n\n@dataclass\nclass Leaf(Tree):\n value: int\n\n@dataclass\nclass Node(Tree):\n left: Tree\n right: Tree\n\n\"\"\"\nYou are an expert Python competitive programmer. Your goal is to implement an `invert(tree: Tree) -> Tree` function that performs a bit-reversal permutation on a `Tree`. Here is what we mean by that:\n\n1. Each leaf in the binary tree has a path leading to it, wh...
o3
1
1
[{"_type":"Choices","_class_name":"Choices","_bases":["BaseModel","BaseModel"]}]
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