问题

You are an expert Python programmer, and here is your task: Write a function to find the similar elements from the given two tuple lists. Your code should pass these tests:

assert similar_elements((3, 4, 5, 6),(5, 7, 4, 10)) == (4, 5)
assert similar_elements((1, 2, 3, 4),(5, 4, 3, 7)) == (3, 4)
assert similar_elements((11, 12, 14, 13),(17, 15, 14, 13)) == (13, 14)

[BEGIN]
'def similar_elements(test_tup1, test_tup2):
res = tuple(set(test_tup1) & set(test_tup2))
return (res)'
[DONE]


You are an expert Python programmer, and here is your task: Write a python function to identify non-prime numbers. Your code should pass these tests:

assert is_not_prime(2) == False
assert is_not_prime(10) == True
assert is_not_prime(35) == True

[BEGIN]
'import math
def is_not_prime(n):
result = False
for i in range(2,int(math.sqrt(n)) + 1):
if n % i == 0:
result = True
return result'
[DONE]


You are an expert Python programmer, and here is your task: Write a function to find the largest integers from a given list of numbers using heap queue algorithm. Your code should pass these tests:

assert heap_queue_largest( [25, 35, 22, 85, 14, 65, 75, 22, 58],3)==[85, 75, 65]
assert heap_queue_largest( [25, 35, 22, 85, 14, 65, 75, 22, 58],2)==[85, 75]
assert heap_queue_largest( [25, 35, 22, 85, 14, 65, 75, 22, 58],5)==[85, 75, 65, 58, 35]

[BEGIN]
'import heapq as hq
def heap_queue_largest(nums,n):
largest_nums = hq.nlargest(n, nums)
return largest_nums'
[DONE]


You are an expert Python programmer, and here is your task: Write a function to perform index wise addition of tuple elements in the given two nested tuples. Your code should pass these tests:

assert add_nested_tuples(((1, 3), (4, 5), (2, 9), (1, 10)), ((6, 7), (3, 9), (1, 1), (7, 3))) == ((7, 10), (7, 14), (3, 10), (8, 13))
assert add_nested_tuples(((2, 4), (5, 6), (3, 10), (2, 11)), ((7, 8), (4, 10), (2, 2), (8, 4))) == ((9, 12), (9, 16), (5, 12), (10, 15))
assert add_nested_tuples(((3, 5), (6, 7), (4, 11), (3, 12)), ((8, 9), (5, 11), (3, 3), (9, 5))) == ((11, 14), (11, 18), (7, 14), (12, 17))

[BEGIN]

答案

模型 模型答案 测试结果
金声玉亮2.0 ```python
def add_nested_tuples(tuple1, tuple2):
return tuple((a + b, c + d) for (a, c), (b, d) in zip(tuple1, tuple2))
```
[DONE]
pass
测试用例:assert add_nested_tuples(((1, 3), (4, 5), (2, 9), (1, 10)), ((6, 7), (3, 9), (1, 1), (7, 3))) == ((7, 10), (7, 14), (3, 10), (8, 13))
assert add_nested_tuples(((2, 4), (5, 6), (3, 10), (2, 11)), ((7, 8), (4, 10), (2, 2), (8, 4))) == ((9, 12), (9, 16), (5, 12), (10, 15))
assert add_nested_tuples(((3, 5), (6, 7), (4, 11), (3, 12)), ((8, 9), (5, 11), (3, 3), (9, 5))) == ((11, 14), (11, 18), (7, 14), (12, 17))
deepseekr1

[BEGIN]
def add_nested_tuples(tup1, tup2):
return tuple((a[0] + b[0], a[1] + b[1]) for a, b in zip(tup1, tup2))
[DONE]
pass
测试用例:assert add_nested_tuples(((1, 3), (4, 5), (2, 9), (1, 10)), ((6, 7), (3, 9), (1, 1), (7, 3))) == ((7, 10), (7, 14), (3, 10), (8, 13))
assert add_nested_tuples(((2, 4), (5, 6), (3, 10), (2, 11)), ((7, 8), (4, 10), (2, 2), (8, 4))) == ((9, 12), (9, 16), (5, 12), (10, 15))
assert add_nested_tuples(((3, 5), (6, 7), (4, 11), (3, 12)), ((8, 9), (5, 11), (3, 3), (9, 5))) == ((11, 14), (11, 18), (7, 14), (12, 17))
gpto1 [BEGIN]
'def add_nested_tuples(tuple1, tuple2):
result = tuple(
tuple(a + b for a, b in zip(sub_tup1, sub_tup2))
for sub_tup1, sub_tup2 in zip(tuple1, tuple2)
)
return result'
[DONE]
pass
测试用例:assert add_nested_tuples(((1, 3), (4, 5), (2, 9), (1, 10)), ((6, 7), (3, 9), (1, 1), (7, 3))) == ((7, 10), (7, 14), (3, 10), (8, 13))
assert add_nested_tuples(((2, 4), (5, 6), (3, 10), (2, 11)), ((7, 8), (4, 10), (2, 2), (8, 4))) == ((9, 12), (9, 16), (5, 12), (10, 15))
assert add_nested_tuples(((3, 5), (6, 7), (4, 11), (3, 12)), ((8, 9), (5, 11), (3, 3), (9, 5))) == ((11, 14), (11, 18), (7, 14), (12, 17))
GPT-4o Sure! Let's write the function to perform index-wise addition of tuple elements in the given two nested tuples.

Here's how you can do it:

```python
def add_nested_tuples(tup1, tup2):
result = tuple((a1 + b1, a2 + b2) for (a1, a2), (b1, b2) in zip(tup1, tup2))
return result

# Test cases
assert add_nested_tuples(((1, 3), (4, 5), (2, 9), (1, 10)), ((6, 7), (3, 9), (1, 1), (7, 3))) == ((7, 10), (7, 14), (3, 10), (8, 13))
assert add_nested_tuples(((2, 4), (5, 6), (3, 10), (2, 11)), ((7, 8), (4, 10), (2, 2), (8, 4))) == ((9, 12), (9, 16), (5, 12), (10, 15))
assert add_nested_tuples(((3, 5), (6, 7), (4, 11), (3, 12)), ((8, 9), (5, 11), (3, 3), (9, 5))) == ((11, 14), (11, 18), (7, 14), (12, 17))

```

This function uses a generator expression within the `tuple` constructor to iterate over paired elements from both input tuples using `zip`. Each paired element is a tuple of two integers, and the function adds corresponding elements to form new tuples. The resulting tuples are collected into a new tuple, which is returned.

You can run the provided test cases to verify that the function works correctly.
pass
测试用例:assert add_nested_tuples(((1, 3), (4, 5), (2, 9), (1, 10)), ((6, 7), (3, 9), (1, 1), (7, 3))) == ((7, 10), (7, 14), (3, 10), (8, 13))
assert add_nested_tuples(((2, 4), (5, 6), (3, 10), (2, 11)), ((7, 8), (4, 10), (2, 2), (8, 4))) == ((9, 12), (9, 16), (5, 12), (10, 15))
assert add_nested_tuples(((3, 5), (6, 7), (4, 11), (3, 12)), ((8, 9), (5, 11), (3, 3), (9, 5))) == ((11, 14), (11, 18), (7, 14), (12, 17))
llama3.1-70B-Instruct

def add_nested_tuples(tup1, tup2):
return tuple(tuple(a + b for a, b in zip(t1, t2)) for t1, t2 in zip(tup1, tup2))
pass
测试用例:assert add_nested_tuples(((1, 3), (4, 5), (2, 9), (1, 10)), ((6, 7), (3, 9), (1, 1), (7, 3))) == ((7, 10), (7, 14), (3, 10), (8, 13))
assert add_nested_tuples(((2, 4), (5, 6), (3, 10), (2, 11)), ((7, 8), (4, 10), (2, 2), (8, 4))) == ((9, 12), (9, 16), (5, 12), (10, 15))
assert add_nested_tuples(((3, 5), (6, 7), (4, 11), (3, 12)), ((8, 9), (5, 11), (3, 3), (9, 5))) == ((11, 14), (11, 18), (7, 14), (12, 17))
llama3.1-405B-Instruct

def add_nested_tuples(tup1, tup2):
return tuple(tuple(a + b for a, b in zip(t1, t2)) for t1, t2 in zip(tup1, tup2))
pass
测试用例:assert add_nested_tuples(((1, 3), (4, 5), (2, 9), (1, 10)), ((6, 7), (3, 9), (1, 1), (7, 3))) == ((7, 10), (7, 14), (3, 10), (8, 13))
assert add_nested_tuples(((2, 4), (5, 6), (3, 10), (2, 11)), ((7, 8), (4, 10), (2, 2), (8, 4))) == ((9, 12), (9, 16), (5, 12), (10, 15))
assert add_nested_tuples(((3, 5), (6, 7), (4, 11), (3, 12)), ((8, 9), (5, 11), (3, 3), (9, 5))) == ((11, 14), (11, 18), (7, 14), (12, 17))
DeepSeek-Coder-V2 ```python
def add_nested_tuples(tuple1, tuple2):
return tuple((a + b, c + d) for (a, c), (b, d) in zip(tuple1, tuple2))
```
[DONE]
pass
测试用例:assert add_nested_tuples(((1, 3), (4, 5), (2, 9), (1, 10)), ((6, 7), (3, 9), (1, 1), (7, 3))) == ((7, 10), (7, 14), (3, 10), (8, 13))
assert add_nested_tuples(((2, 4), (5, 6), (3, 10), (2, 11)), ((7, 8), (4, 10), (2, 2), (8, 4))) == ((9, 12), (9, 16), (5, 12), (10, 15))
assert add_nested_tuples(((3, 5), (6, 7), (4, 11), (3, 12)), ((8, 9), (5, 11), (3, 3), (9, 5))) == ((11, 14), (11, 18), (7, 14), (12, 17))
Qwen2-72B-Instruct 'def add_nested_tuples(tup1, tup2):
return tuple(tuple(a+b for a, b in zip(t1, t2)) for t1, t2 in zip(tup1, tup2))'
[DONE]
pass
测试用例:assert add_nested_tuples(((1, 3), (4, 5), (2, 9), (1, 10)), ((6, 7), (3, 9), (1, 1), (7, 3))) == ((7, 10), (7, 14), (3, 10), (8, 13))
assert add_nested_tuples(((2, 4), (5, 6), (3, 10), (2, 11)), ((7, 8), (4, 10), (2, 2), (8, 4))) == ((9, 12), (9, 16), (5, 12), (10, 15))
assert add_nested_tuples(((3, 5), (6, 7), (4, 11), (3, 12)), ((8, 9), (5, 11), (3, 3), (9, 5))) == ((11, 14), (11, 18), (7, 14), (12, 17))
baichuan4 To perform index-wise addition of tuple elements in two nested tuples, you can use the following function:

```python
def add_nested_tuples(tup1, tup2):
result = tuple(tuple(a + b for a, b in zip(x, y)) for x, y in zip(tup1, tup2))
return result
```

This function takes two nested tuples `tup1` and `tup2` as input and returns a new tuple where each element is the result of adding the corresponding elements of `tup1` and `tup2`.

Here's how it works:
- We iterate through each pair of corresponding tuples `x` and `y` from `tup1` and `tup2` using the `zip` function.
- For each pair of tuples `x` and `y`, we iterate through each pair of corresponding elements `a` and `b` using another `zip` function.
- We add each pair of elements `a` and `b` and store the result in a new tuple.
- Finally, we create a new tuple containing all the resulting tuples.

Let's test the function with the provided test cases:

```python
assert add_nested_tuples(((1, 3), (4, 5), (2, 9), (1, 10)), ((6, 7), (3, 9), (1, 1), (7, 3))) == ((7, 10), (7, 14), (3, 10), (8, 13))
assert add_nested_tuples(((2, 4), (5, 6), (3, 10), (2, 11)), ((7, 8), (4, 10), (2, 2), (8, 4))) == ((9, 12), (9, 16), (5, 12), (10, 15))
assert add_nested_tuples(((3, 5), (6, 7), (4, 11), (3, 12)), ((8, 9), (5, 11), (3, 3), (9, 5))) == ((11, 14), (11, 18), (7, 14), (12, 17))
```

The function passes all the tests, so it seems to be working correctly.
pass
测试用例:assert add_nested_tuples(((1, 3), (4, 5), (2, 9), (1, 10)), ((6, 7), (3, 9), (1, 1), (7, 3))) == ((7, 10), (7, 14), (3, 10), (8, 13))
assert add_nested_tuples(((2, 4), (5, 6), (3, 10), (2, 11)), ((7, 8), (4, 10), (2, 2), (8, 4))) == ((9, 12), (9, 16), (5, 12), (10, 15))
assert add_nested_tuples(((3, 5), (6, 7), (4, 11), (3, 12)), ((8, 9), (5, 11), (3, 3), (9, 5))) == ((11, 14), (11, 18), (7, 14), (12, 17))
doubao def add_nested_tuples(tup1, tup2):
return tuple(tuple(a + b for a, b in zip(x, y)) for x, y in zip(tup1, tup2))
[DONE]
pass
测试用例:assert add_nested_tuples(((1, 3), (4, 5), (2, 9), (1, 10)), ((6, 7), (3, 9), (1, 1), (7, 3))) == ((7, 10), (7, 14), (3, 10), (8, 13))
assert add_nested_tuples(((2, 4), (5, 6), (3, 10), (2, 11)), ((7, 8), (4, 10), (2, 2), (8, 4))) == ((9, 12), (9, 16), (5, 12), (10, 15))
assert add_nested_tuples(((3, 5), (6, 7), (4, 11), (3, 12)), ((8, 9), (5, 11), (3, 3), (9, 5))) == ((11, 14), (11, 18), (7, 14), (12, 17))
minimax ```python
def add_nested_tuples(tup1, tup2):
return tuple(tuple(a + b for a, b in zip(t1, t2)) for t1, t2 in zip(tup1, tup2))

# Test cases
assert add_nested_tuples(((1, 3), (4, 5), (2, 9), (1, 10)), ((6, 7), (3, 9), (1, 1), (7, 3))) == ((7, 10), (7, 14), (3, 10), (8, 13))
assert add_nested_tuples(((2, 4), (5, 6), (3, 10), (2, 11)), ((7, 8), (4, 10), (2, 2), (8, 4))) == ((9, 12), (9, 16), (5, 12), (10, 15))
assert add_nested_tuples(((3, 5), (6, 7), (4, 11), (3, 12)), ((8, 9), (5, 11), (3, 3), (9, 5))) == ((11, 14), (11, 18), (7, 14), (12, 17))
```

This function `add_nested_tuples` takes two nested tuples as input and returns a new nested tuple with the corresponding elements added index-wise. The test cases check that the function works as expected.
pass
测试用例:assert add_nested_tuples(((1, 3), (4, 5), (2, 9), (1, 10)), ((6, 7), (3, 9), (1, 1), (7, 3))) == ((7, 10), (7, 14), (3, 10), (8, 13))
assert add_nested_tuples(((2, 4), (5, 6), (3, 10), (2, 11)), ((7, 8), (4, 10), (2, 2), (8, 4))) == ((9, 12), (9, 16), (5, 12), (10, 15))
assert add_nested_tuples(((3, 5), (6, 7), (4, 11), (3, 12)), ((8, 9), (5, 11), (3, 3), (9, 5))) == ((11, 14), (11, 18), (7, 14), (12, 17))
kimi Sure, let's address each task one by one.

**Task 1: Find similar elements from two tuple lists**

```python
def similar_elements(test_tup1, test_tup2):
# Convert tuples to sets and find intersection
res = tuple(sorted(set(test_tup1) & set(test_tup2)))
return res

# Test cases
assert similar_elements((3, 4, 5, 6),(5, 7, 4, 10)) == (4, 5)
assert similar_elements((1, 2, 3, 4),(5, 4, 3, 7)) == (3, 4)
assert similar_elements((11, 12, 14, 13),(17, 15, 14, 13)) == (13, 14)
```

**Task 2: Identify non-prime numbers**

```python
import math

def is_not_prime(n):
if n <= 1:
return True
for i in range(2, int(math.sqrt(n)) + 1):
if n % i == 0:
return True
return False

# Test cases
assert is_not_prime(2) == False
assert is_not_prime(10) == True
assert is_not_prime(35) == True
```

**Task 3: Find the largest integers from a list using heap queue algorithm**

```python
import heapq

def heap_queue_largest(nums, n):
largest_nums = heapq.nlargest(n, nums)
return largest_nums

# Test cases
assert heap_queue_largest([25, 35, 22, 85, 14, 65, 75, 22, 58], 3) == [85, 75, 65]
assert heap_queue_largest([25, 35, 22, 85, 14, 65, 75, 22, 58], 2) == [85, 75]
assert heap_queue_largest([25, 35, 22, 85, 14, 65, 75, 22, 58], 5) == [85, 75, 65, 58, 35]
```

**Task 4: Perform index-wise addition of tuple elements in two nested tuples**

```python
def add_nested_tuples(tuple1, tuple2):
# Use zip to iterate over the tuples and add corresponding elements
return tuple((a + b for a, b in zip(tuple1, tuple2)))

# Test cases
assert add_nested_tuples(((1, 3), (4, 5), (2, 9), (1, 10)), ((6, 7), (3, 9), (1, 1), (7, 3))) == ((7, 10), (7, 14), (3, 10), (8, 13))
assert add_nested_tuples(((2, 4), (5, 6), (3, 10), (2, 11)), ((7, 8), (4, 10), (2, 2), (8, 4))) == ((9, 12), (9, 16), (5, 12), (10, 15))
assert add_nested_tuples(((3, 5), (6, 7), (4, 11), (3, 12)), ((8, 9), (5, 11), (3, 3), (9, 5))) == ((11, 14), (11, 18), (7, 14), (12, 17))
```

Each task has been addressed with a function that should pass the provided test cases.
failed
测试用例:assert add_nested_tuples(((1, 3), (4, 5), (2, 9), (1, 10)), ((6, 7), (3, 9), (1, 1), (7, 3))) == ((7, 10), (7, 14), (3, 10), (8, 13))
assert add_nested_tuples(((2, 4), (5, 6), (3, 10), (2, 11)), ((7, 8), (4, 10), (2, 2), (8, 4))) == ((9, 12), (9, 16), (5, 12), (10, 15))
assert add_nested_tuples(((3, 5), (6, 7), (4, 11), (3, 12)), ((8, 9), (5, 11), (3, 3), (9, 5))) == ((11, 14), (11, 18), (7, 14), (12, 17))
wenxinyiyan Here's the solution for each of the tasks you've provided:

1. Finding similar elements from two tuple lists:


```python
def similar_elements(test_tup1, test_tup2):
res = tuple(set(test_tup1) & set(test_tup2))
return res
```
Your provided code is already correct. It uses the set intersection operator `&` to find the common elements between the two tuples, and then converts the resulting set back to a tuple.

2. Identifying non-prime numbers:


```python
import math

def is_not_prime(n):
if n < 2: # Numbers less than 2 are not prime
return True
for i in range(2, int(math.sqrt(n)) + 1):
if n % i == 0:
return True
return False
```
I've added a check for numbers less than 2, as they are not considered prime. The rest of the code iterates from 2 to the square root of `n` and checks if `n` is divisible by any of those numbers. If it is, the function returns `True` indicating that `n` is not prime. Otherwise, it returns `False`.

3. Finding the largest integers from a given list using the heap queue algorithm:


```python
import heapq as hq

def heap_queue_largest(nums, n):
largest_nums = hq.nlargest(n, nums)
return largest_nums
```
Your provided code is already correct. It uses the `heapq.nlargest()` function to find the `n` largest elements in the given list `nums` and returns them as a list.

4. Performing index-wise addition of tuple elements in nested tuples:


```python
def add_nested_tuples(tuple1, tuple2):
result = []
for t1, t2 in zip(tuple1, tuple2):
result.append(tuple(map(lambda x, y: x + y, t1, t2)))
return tuple(result)
```
This function iterates over the nested tuples using `zip()` to pair corresponding elements from `tuple1` and `tuple2`. For each pair of tuples, it uses `map()` with a lambda function to perform element-wise addition. The resulting lists are then converted back to tuples and stored in the `result` list. Finally, the `result` list is converted to a tuple and returned.

Now you can use these functions as per your requirements.
failed
测试用例:assert add_nested_tuples(((1, 3), (4, 5), (2, 9), (1, 10)), ((6, 7), (3, 9), (1, 1), (7, 3))) == ((7, 10), (7, 14), (3, 10), (8, 13))
assert add_nested_tuples(((2, 4), (5, 6), (3, 10), (2, 11)), ((7, 8), (4, 10), (2, 2), (8, 4))) == ((9, 12), (9, 16), (5, 12), (10, 15))
assert add_nested_tuples(((3, 5), (6, 7), (4, 11), (3, 12)), ((8, 9), (5, 11), (3, 3), (9, 5))) == ((11, 14), (11, 18), (7, 14), (12, 17))
zhipu To perform index-wise addition of tuple elements in the given two nested tuples, we can write a function that iterates through each pair of inner tuples and adds their corresponding elements. Here's the implementation:

```python
def add_nested_tuples(tup1, tup2):
# Ensure both tuples have the same length
if len(tup1) != len(tup2):
raise ValueError("Both nested tuples must have the same number of elements.")

# Perform index-wise addition
result = tuple((a + c, b + d) for (a, b), (c, d) in zip(tup1, tup2))
return result

# Test cases
assert add_nested_tuples(((1, 3), (4, 5), (2, 9), (1, 10)), ((6, 7), (3, 9), (1, 1), (7, 3))) == ((7, 10), (7, 14), (3, 10), (8, 13))
assert add_nested_tuples(((2, 4), (5, 6), (3, 10), (2, 11)), ((7, 8), (4, 10), (2, 2), (8, 4))) == ((9, 12), (9, 16), (5, 12), (10, 15))
assert add_nested_tuples(((3, 5), (6, 7), (4, 11), (3, 12)), ((8, 9), (5, 11), (3, 3), (9, 5))) == ((11, 14), (11, 18), (7, 14), (12, 17))

print("All tests passed!")
```

### Explanation:
1. **Input Validation**: The function first checks if both nested tuples have the same number of elements. If not, it raises a `ValueError`.
2. **Index-wise Addition**: The function uses a generator expression within the `tuple` constructor to iterate over pairs of inner tuples from both input tuples using `zip`. For each pair of inner tuples, it adds the corresponding elements.
3. **Return Result**: The result is a new nested tuple with the added elements.

This implementation should pass the provided test cases.
pass
测试用例:assert add_nested_tuples(((1, 3), (4, 5), (2, 9), (1, 10)), ((6, 7), (3, 9), (1, 1), (7, 3))) == ((7, 10), (7, 14), (3, 10), (8, 13))
assert add_nested_tuples(((2, 4), (5, 6), (3, 10), (2, 11)), ((7, 8), (4, 10), (2, 2), (8, 4))) == ((9, 12), (9, 16), (5, 12), (10, 15))
assert add_nested_tuples(((3, 5), (6, 7), (4, 11), (3, 12)), ((8, 9), (5, 11), (3, 3), (9, 5))) == ((11, 14), (11, 18), (7, 14), (12, 17))
gpto1 [BEGIN]
'def add_nested_tuples(tuple1, tuple2):
result = tuple(
tuple(a + b for a, b in zip(sub_tup1, sub_tup2))
for sub_tup1, sub_tup2 in zip(tuple1, tuple2)
)
return result'
[DONE]
pass
测试用例:assert add_nested_tuples(((1, 3), (4, 5), (2, 9), (1, 10)), ((6, 7), (3, 9), (1, 1), (7, 3))) == ((7, 10), (7, 14), (3, 10), (8, 13))
assert add_nested_tuples(((2, 4), (5, 6), (3, 10), (2, 11)), ((7, 8), (4, 10), (2, 2), (8, 4))) == ((9, 12), (9, 16), (5, 12), (10, 15))
assert add_nested_tuples(((3, 5), (6, 7), (4, 11), (3, 12)), ((8, 9), (5, 11), (3, 3), (9, 5))) == ((11, 14), (11, 18), (7, 14), (12, 17))
deepseekv3 To solve the problem of performing index-wise addition of tuple elements in two nested tuples, we can follow these steps:

1. Iterate through each pair of tuples from the two nested tuples.
2. Perform element-wise addition for each pair of tuples.
3. Return the resulting nested tuple.

Here's the implementation of the function `add_nested_tuples`:

```python
def add_nested_tuples(tup1, tup2):
result = tuple()
for subtup1, subtup2 in zip(tup1, tup2):
added_tuple = tuple(a + b for a, b in zip(subtup1, subtup2))
result += (added_tuple,)
return result

# Test cases
assert add_nested_tuples(((1, 3), (4, 5), (2, 9), (1, 10)), ((6, 7), (3, 9), (1, 1), (7, 3))) == ((7, 10), (7, 14), (3, 10), (8, 13))
assert add_nested_tuples(((2, 4), (5, 6), (3, 10), (2, 11)), ((7, 8), (4, 10), (2, 2), (8, 4))) == ((9, 12), (9, 16), (5, 12), (10, 15))
assert add_nested_tuples(((3, 5), (6, 7), (4, 11), (3, 12)), ((8, 9), (5, 11), (3, 3), (9, 5))) == ((11, 14), (11, 18), (7, 14), (12, 17))

print("All test cases passed!")
```

### Explanation:
1. **Input**: The function takes two nested tuples `tup1` and `tup2` as input.
2. **Iteration**: We use `zip(tup1, tup2)` to iterate through corresponding tuples from `tup1` and `tup2`.
3. **Element-wise Addition**: For each pair of tuples, we perform element-wise addition using a generator expression inside a tuple.
4. **Result Construction**: The resulting tuples are then concatenated to form the final nested tuple.
5. **Return**: The function returns the resulting nested tuple.

This implementation ensures that the function works correctly for the provided test cases.
pass
测试用例:assert add_nested_tuples(((1, 3), (4, 5), (2, 9), (1, 10)), ((6, 7), (3, 9), (1, 1), (7, 3))) == ((7, 10), (7, 14), (3, 10), (8, 13))
assert add_nested_tuples(((2, 4), (5, 6), (3, 10), (2, 11)), ((7, 8), (4, 10), (2, 2), (8, 4))) == ((9, 12), (9, 16), (5, 12), (10, 15))
assert add_nested_tuples(((3, 5), (6, 7), (4, 11), (3, 12)), ((8, 9), (5, 11), (3, 3), (9, 5))) == ((11, 14), (11, 18), (7, 14), (12, 17))