问题

Complete the following python code:
from typing import List


def parse_nested_parens(paren_string: str) -> List[int]:
""" Input to this function is a string represented multiple groups for nested parentheses separated by spaces.
For each of the group, output the deepest level of nesting of parentheses.
E.g. (()()) has maximum two levels of nesting while ((())) has three.

>>> parse_nested_parens('(()()) ((())) () ((())()())')
[2, 3, 1, 3]
"""

答案

模型 模型答案 测试结果
金声玉亮2.0 To complete the `parse_nested_parens` function, you need to iterate through each group of parentheses in the input string, determine the depth of nesting for each group, and return a list of these depths. Here’s how you can achieve that:

```python
from typing import List

def parse_nested_parens(paren_string: str) -> List[int]:
""" Input to this function is a string represented multiple groups for nested parentheses separated by spaces.
For each of the group, output the deepest level of nesting of parentheses.
E.g. (()()) has maximum two levels of nesting while ((())) has three.

>>> parse_nested_parens('(()()) ((())) () ((())()())')
[2, 3, 1, 3]
"""
def max_depth(group: str) -> int:
max_depth = 0
current_depth = 0
for char in group:
if char == '(':
current_depth += 1
if current_depth > max_depth:
max_depth = current_depth
elif char == ')':
current_depth -= 1
return max_depth

groups = paren_string.split()
return [max_depth(group) for group in groups]

# Test the function with the provided example
if __name__ == "__main__":
import doctest
doctest.testmod()
```

### Explanation:
1. **max_depth Function**:
- This helper function calculates the maximum depth of nesting for a single group of parentheses.
- It iterates through each character in the group, increasing the depth when encountering an opening parenthesis `(`, and decreasing it when encountering a closing parenthesis `)`.
- It keeps track of the maximum depth encountered during this iteration.

2. **parse_nested_parens Function**:
- The input string `paren_string` is split into individual groups using the `split` method, which splits the string by spaces.
- For each group, the `max_depth` function is called to determine the maximum depth of nesting.
- The results are collected in a list and returned.

This implementation should correctly handle the input and produce the expected output.		 passed
deepseekr1

To solve this problem, we need to determine the maximum depth of nested parentheses for each group of parentheses in a given string. Each group is separated by a space, and we need to return a list of integers representing the maximum depth for each group.

### Approach
1. **Split the Input String**: First, we split the input string into individual groups of parentheses using the space character as the delimiter.
2. **Track Depth for Each Group**: For each group, we initialize two variables: `current_depth` to track the current depth of nested parentheses as we iterate through the group, and `max_depth` to keep track of the maximum depth encountered.
3. **Iterate Through Characters**: For each character in the group:
- If the character is '(', increment the `current_depth` and update `max_depth` if `current_depth` exceeds `max_depth`.
- If the character is ')', decrement the `current_depth` (since we are moving out of a nested level).
4. **Store Results**: After processing each group, store the `max_depth` in the result list.
5. **Return the Result**: Finally, return the list of maximum depths for each group.

### Solution Code
```python
from typing import List

def parse_nested_parens(paren_string: str) -> List[int]:
result = []
for group in paren_string.split():
current_depth = 0
max_depth = 0
for char in group:
if char == '(':
current_depth += 1
if current_depth > max_depth:
max_depth = current_depth
else:
current_depth -= 1
result.append(max_depth)
return result
```

### Explanation
- **Splitting the Input**: The input string is split into groups using the `split()` method, which handles the separation by spaces.
- **Depth Tracking**: For each group, we traverse each character. Each opening parenthesis '(' increases the current depth, and each closing parenthesis ')' decreases it. The maximum depth encountered during this traversal is recorded.
- **Efficiency**: The algorithm efficiently processes each character in the string exactly once, resulting in a time complexity of O(n), where n is the total number of characters in the input string. This ensures optimal performance even for longer strings.

This approach ensures that we accurately compute the maximum depth of nested parentheses for each group in an efficient and straightforward manner.		 passed
gpto1 ```python
def parse_nested_parens(paren_string: str) -> List[int]:
result = []
groups = paren_string.strip().split()
for group in groups:
depth = 0
max_depth = 0
for char in group:
if char == '(':
depth += 1
if depth > max_depth:
max_depth = depth
elif char == ')':
depth -= 1
result.append(max_depth)
return result
```		 passed
GPT-4o Sure, I'll help you complete the Python function `parse_nested_parens` which calculates the maximum depth of nested parentheses for each group in the input string. Here is the completed code:

```python
from typing import List

def parse_nested_parens(paren_string: str) -> List[int]:
"""
Input to this function is a string represented multiple groups for nested parentheses separated by spaces.
For each of the group, output the deepest level of nesting of parentheses.
E.g. (()()) has maximum two levels of nesting while ((())) has three.

>>> parse_nested_parens('(()()) ((())) () ((())()())')
[2, 3, 1, 3]
"""
def max_depth(paren_group: str) -> int:
depth = 0
max_depth = 0
for char in paren_group:
if char == '(':
depth += 1
if depth > max_depth:
max_depth = depth
elif char == ')':
depth -= 1
return max_depth

groups = paren_string.split()
return [max_depth(group) for group in groups]

# Example usage
if __name__ == "__main__":
import doctest
doctest.testmod()
```

This code defines a helper function `max_depth` that calculates the maximum depth of a given group of parentheses. It then splits the input string into groups and applies the `max_depth` function to each group, returning the results in a list.

You can test the function using the provided example and any other cases you want to try. The `doctest` module is used to validate the function against the provided example in the docstring.		 passed
llama3.1-70B-Instruct

def parse_nested_parens(paren_string: str) -> List[int]:
"""
This function takes a string of multiple groups of nested parentheses separated by spaces.
It returns a list of integers, where each integer represents the deepest level of nesting of parentheses in the corresponding group.

:param paren_string: A string of multiple groups of nested parentheses separated by spaces.
:return: A list of integers, where each integer represents the deepest level of nesting of parentheses in the corresponding group.
"""
# Split the input string into groups of parentheses
groups = paren_string.split()

# Initialize an empty list to store the results
results = []

# Iterate over each group of parentheses
for group in groups:
# Initialize a counter to keep track of the current level of nesting
level = 0
# Initialize a variable to keep track of the maximum level of nesting
max_level = 0

# Iterate over each character in the group
for char in group:
# If the character is an opening parenthesis, increment the level
if char == '(':
level += 1
# Update the maximum level if necessary
max_level = max(max_level, level)
# If the character is a closing parenthesis, decrement the level
elif char == ')':
level -= 1

# Append the maximum level of nesting for this group to the results list
results.append(max_level)

# Return the list of results
return results		 passed
llama3.1-405B-Instruct

from typing import List

def parse_nested_parens(paren_string: str) -> List[int]:
"""
Input to this function is a string represented multiple groups for nested parentheses separated by spaces.
For each of the group, output the deepest level of nesting of parentheses.
E.g. (()()) has maximum two levels of nesting while ((())) has three.

>>> parse_nested_parens('(()()) ((())) () ((())()())')
[2, 3, 1, 3]
"""
# Split the input string into groups
groups = paren_string.split()

# Initialize an empty list to store the results
results = []

# Iterate over each group
for group in groups:
# Initialize the maximum depth and the current depth
max_depth = 0
current_depth = 0

# Iterate over each character in the group
for char in group:
# If the character		 failed: expected an indented block after 'for' statement on line 38 (<string>, line 42)
DeepSeek-Coder-V2 To complete the function `parse_nested_parens`, we need to iterate through each group of parentheses in the input string, calculate the maximum depth of nesting for each group, and return a list of these depths. Here's the completed code:

```python
from typing import List

def parse_nested_parens(paren_string: str) -> List[int]:
""" Input to this function is a string represented multiple groups for nested parentheses separated by spaces.
For each of the group, output the deepest level of nesting of parentheses.
E.g. (()()) has maximum two levels of nesting while ((())) has three.

>>> parse_nested_parens('(()()) ((())) () ((())()())')
[2, 3, 1, 3]
"""
def max_nesting_depth(group: str) -> int:
depth = 0
max_depth = 0
for char in group:
if char == '(':
depth += 1
max_depth = max(max_depth, depth)
elif char == ')':
depth -= 1
return max_depth

groups = paren_string.split()
return [max_nesting_depth(group) for group in groups]

# Example usage
print(parse_nested_parens('(()()) ((())) () ((())()())'))
```

### Explanation:
1. **Helper Function `max_nesting_depth`**:
- This function calculates the maximum nesting depth for a single group of parentheses.
- It initializes `depth` to 0 and `max_depth` to 0.
- It iterates through each character in the group:
- If the character is '(', it increments `depth` and updates `max_depth` if `depth` is greater than `max_depth`.
- If the character is ')', it decrements `depth`.
- Finally, it returns `max_depth`.

2. **Main Function `parse_nested_parens`**:
- It splits the input string into groups using `split()`.
- It uses a list comprehension to apply `max_nesting_depth` to each group and returns the list of maximum depths.

This code will correctly compute the maximum nesting depth for each group of parentheses in the input string.		 passed
Qwen2-72B-Instruct Here is the completed Python function that solves the problem:

```python
from typing import List

def parse_nested_parens(paren_string: str) -> List[int]:
result = []
for group in paren_string.split(' '):
depth = max_depth = 0
for char in group:
if char == '(':
depth += 1
if depth > max_depth:
max_depth = depth
elif char == ')':
depth -= 1
result.append(max_depth)
return result
```

This function works by splitting the input string into groups based on spaces. It then iterates through each group, tracking the current depth of parentheses nesting. If it encounters an opening parenthesis, it increases the depth by 1. If it encounters a closing parenthesis, it decreases the depth by 1. It also keeps track of the maximum depth encountered for each group. After processing each group, it appends the maximum depth to the result list, which it returns at the end.		 passed
baichuan4 To complete the Python code for the `parse_nested_parens` function, we can use a stack-based approach to track the depth of nesting for each group of parentheses. When we encounter an opening parenthesis, we increment the depth, and when we encounter a closing parenthesis, we decrement the depth. The maximum depth reached for each group will give us the desired result.

Here's the completed function:

```python
from typing import List

def parse_nested_parens(paren_string: str) -> List[int]:
""" Input to this function is a string represented multiple groups for nested parentheses separated by spaces.
For each of the group, output the deepest level of nesting of parentheses.
E.g. (()()) has maximum two levels of nesting while ((())) has three.

>>> parse_nested_parens('(()()) ((())) () ((())()())')
[2, 3, 1, 3]
"""
# Split the input string into groups of parentheses
groups = paren_string.split()

# Initialize the result list
max_depths = []

# Iterate over each group to find the maximum depth of nesting
for group in groups:
depth = 0
max_depth = 0
for char in group:
if char == '(':
depth += 1
max_depth = max(max_depth, depth)
elif char == ')':
depth -= 1
max_depths.append(max_depth)

return max_depths

# Example usage:
print(parse_nested_parens('(()()) ((())) () ((())()())'))
```

This function first splits the input string into separate groups of parentheses. Then, for each group, it iterates through each character. If the character is an opening parenthesis `(` it increments the depth counter, and if it's a closing parenthesis `)`, it decrements the depth counter. The maximum depth encountered during this process is recorded and appended to the `max_depths` list, which is returned at the end.		 passed
doubao Here's the completed Python code:

```python
from typing import List

def parse_nested_parens(paren_string: str) -> List[int]:
result = []
for group in paren_string.split(' '):
max_level = 0
level = 0
for char in group:
if char == '(':
level += 1
max_level = max(max_level, level)
elif char == ')':
level -= 1
result.append(max_level)
return result
```		 passed
minimax To complete the function `parse_nested_parens`, we need to iterate through each group of parentheses in the input string, keeping track of the current level of nesting and the maximum level of nesting for each group. Here's the completed function:

```python
from typing import List

def parse_nested_parens(paren_string: str) -> List[int]:
def max_nesting(group: str) -> int:
max_depth = 0
current_depth = 0
for char in group:
if char == '(':
current_depth += 1
max_depth = max(max_depth, current_depth)
elif char == ')':
current_depth -= 1
return max_depth

# Split the input string into groups separated by spaces
groups = paren_string.split()
# Calculate the maximum nesting for each group
max_nesting_levels = [max_nesting(group) for group in groups]
return max_nesting_levels

# Example usage:
if __name__ == "__main__":
print(parse_nested_parens('(()()) ((())) () ((())()())')) # Output: [2, 3, 1, 3]
```

This code defines an inner function `max_nesting` that calculates the maximum depth of a single group of parentheses. The main function `parse_nested_parens` splits the input string into groups and applies `max_nesting` to each group, collecting the results in a list that is returned.		 passed
kimi To complete the Python code for the `parse_nested_parens` function, you can use a stack to keep track of the current depth of parentheses as you iterate through each character in the input string. Here's the completed function:

```python
from typing import List

def parse_nested_parens(paren_string: str) -> List[int]:
"""
Input to this function is a string represented multiple groups for nested parentheses separated by spaces.
For each of the group, output the deepest level of nesting of parentheses.
E.g. (()()) has maximum two levels of nesting while ((())) has three.

>>> parse_nested_parens('(()()) ((())) () ((())()())')
[2, 3, 1, 3]
"""
def max_depth(s):
stack = []
max_depth = 0
for char in s:
if char == '(':
stack.append(char)
max_depth = max(max_depth, len(stack))
elif char == ')':
stack.pop()
return max_depth

groups = paren_string.split()
depths = [max_depth(group) for group in groups]
return depths

# Example usage:
if __name__ == "__main__":
print(parse_nested_parens('(()()) ((())) () ((())()())'))
```

This function defines a helper function `max_depth` that calculates the maximum depth of parentheses for a single group. It uses a stack to track the depth and updates the maximum depth whenever a new level of nesting is encountered. The main function then splits the input string into groups and applies the `max_depth` function to each group, collecting the results in a list.		 passed
wenxinyiyan Here's the completed Python code for the `parse_nested_parens` function:


```python
from typing import List

def parse_nested_parens(paren_string: str) -> List[int]:
def get_max_nesting_level(s: str) -> int:
max_level = 0
current_level = 0
for char in s:
if char == '(':
current_level += 1
max_level = max(max_level, current_level)
elif char == ')':
current_level -= 1
return max_level

result = []
groups = paren_string.split()
for group in groups:
level = get_max_nesting_level(group)
result.append(level)
return result
```
In this code, we define an inner helper function `get_max_nesting_level` that takes a string `s` representing a group of nested parentheses and returns the maximum level of nesting within that group. We iterate over each character in the string, incrementing the `current_level` when we encounter an opening parenthesis `(` and decrementing it when we encounter a closing parenthesis `)`. We also update the `max_level` variable to keep track of the maximum level encountered so far.

Then, in the main `parse_nested_parens` function, we split the input `paren_string` into separate groups using the `split()` method (assuming the groups are separated by spaces). For each group, we call the `get_max_nesting_level` function to obtain the maximum nesting level and append it to the `result` list. Finally, we return the `result` list containing the maximum nesting levels for each group.

Now you can test the function with your example:


```python
print(parse_nested_parens('(()()) ((())) () ((())()())')) # Output: [2, 3, 1, 3]
```		 passed
zhipu To complete the given Python function `parse_nested_parens`, we need to iterate through each group of nested parentheses, count the maximum depth of nesting for each group, and return these depths in a list. Here's the complete implementation:

```python
from typing import List

def parse_nested_parens(paren_string: str) -> List[int]:
""" Input to this function is a string represented multiple groups for nested parentheses separated by spaces.
For each of the group, output the deepest level of nesting of parentheses.
E.g. (()()) has maximum two levels of nesting while ((())) has three.

>>> parse_nested_parens('(()()) ((())) () ((())()())')
[2, 3, 1, 3]
"""
# Split the input string by spaces to get individual groups of parentheses
groups = paren_string.split()

# Initialize an empty list to store the maximum depth for each group
max_depths = []

# Iterate over each group of parentheses
for group in groups:
max_depth = 0
current_depth = 0

# Iterate over each character in the group
for char in group:
if char == '(':
# Increase the current depth when encountering an opening parenthesis
current_depth += 1
# Update the maximum depth if the current depth is greater
max_depth = max(max_depth, current_depth)
elif char == ')':
# Decrease the current depth when encountering a closing parenthesis
current_depth -= 1

# Append the maximum depth of the current group to the list
max_depths.append(max_depth)

return max_depths

# Example usage
if __name__ == "__main__":
import doctest
doctest.testmod()
```

### Explanation:
1. **Splitting the Input**: The input string is split into individual groups of nested parentheses using `split()`.
2. **Iterating Over Groups**: For each group, we initialize `max_depth` to track the maximum depth and `current_depth` to track the current depth of nesting.
3. **Counting Depths**: As we iterate through each character in the group:
- If it's an opening parenthesis `'('`, we increment `current_depth` and update `max_depth` if `current_depth` exceeds it.
- If it's a closing parenthesis `')'`, we decrement `current_depth`.
4. **Storing Results**: After processing each group, the `max_depth` for that group is appended to the `max_depths` list.
5. **Return Result**: Finally, the list of maximum depths for all groups is returned.

### Doctest:
The `if __name__ == "__main__":` block with `doctest.testmod()` is used to run the example test case provided in the docstring, ensuring the function works as expected.		 passed
gpto1 ```python
def parse_nested_parens(paren_string: str) -> List[int]:
result = []
groups = paren_string.strip().split()
for group in groups:
depth = 0
max_depth = 0
for char in group:
if char == '(':
depth += 1
if depth > max_depth:
max_depth = depth
elif char == ')':
depth -= 1
result.append(max_depth)
return result
```		 passed
deepseekv3 To solve this problem, we need to parse a string that contains multiple groups of nested parentheses separated by spaces. For each group, we need to determine the deepest level of nesting of parentheses.

Here’s how we can implement this:

1. **Split the input string into individual groups**: We can split the string based on spaces to get each group of parentheses.
2. **Calculate the maximum nesting level for each group**: For each group, we can use a stack-based approach or a counter to keep track of the current nesting level and find the maximum nesting level.

Here’s the complete implementation:

```python
from typing import List

def parse_nested_parens(paren_string: str) -> List[int]:
""" Input to this function is a string represented multiple groups for nested parentheses separated by spaces.
For each of the group, output the deepest level of nesting of parentheses.
E.g. (()()) has maximum two levels of nesting while ((())) has three.

>>> parse_nested_parens('(()()) ((())) () ((())()())')
[2, 3, 1, 3]
"""
groups = paren_string.split()
result = []

for group in groups:
max_depth = 0
current_depth = 0

for char in group:
if char == '(':
current_depth += 1
if current_depth > max_depth:
max_depth = current_depth
elif char == ')':
current_depth -= 1

result.append(max_depth)

return result

# Test the function
print(parse_nested_parens('(()()) ((())) () ((())()())')) # Output: [2, 3, 1, 3]
```

### Explanation:
- **Splitting the string**: We use `split()` to divide the input string into individual groups of parentheses.
- **Tracking nesting depth**: For each group, we initialize `max_depth` and `current_depth` to 0. As we iterate through the characters in the group:
- When we encounter `(`, we increment `current_depth` and update `max_depth` if `current_depth` exceeds it.
- When we encounter `)`, we decrement `current_depth`.
- **Appending the result**: After processing each group, we append the `max_depth` to the result list.

This approach ensures that we correctly calculate the deepest level of nesting for each group of parentheses.		 passed