金声玉亮2.0模型评测报告

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 merge multiple sorted inputs into a single sorted iterator using heap queue algorithm. Your code should pass these tests:

assert merge_sorted_list([25, 24, 15, 4, 5, 29, 110],[19, 20, 11, 56, 25, 233, 154],[24, 26, 54, 48])==[4, 5, 11, 15, 19, 20, 24, 24, 25, 25, 26, 29, 48, 54, 56, 110, 154, 233]
assert merge_sorted_list([1, 3, 5, 6, 8, 9], [2, 5, 7, 11], [1, 4, 7, 8, 12])==[1, 1, 2, 3, 4, 5, 5, 6, 7, 7, 8, 8, 9, 11, 12]
assert merge_sorted_list([18, 14, 10, 9, 8, 7, 9, 3, 2, 4, 1],[25, 35, 22, 85, 14, 65, 75, 25, 58],[12, 74, 9, 50, 61, 41])==[1, 2, 3, 4, 7, 8, 9, 9, 9, 10, 12, 14, 14, 18, 22, 25, 25, 35, 41, 50, 58, 61, 65, 74, 75, 85]

[BEGIN]

答案

模型	模型答案	测试结果
金声玉亮2.0	```python import heapq as hq def merge_sorted_list(*lists): merged_list = [] heap = [] # Initialize heap with the first element of each list for i, lst in enumerate(lists): if lst: hq.heappush(heap, (lst[0], i, 0)) # Extract and insert the smallest element from heap while heap: val, list_idx, elem_idx = hq.heappop(heap) merged_list.append(val) # If there are more elements in the same list, push the next element into the heap if elem_idx + 1 < len(lists[list_idx]): hq.heappush(heap, (lists[list_idx][elem_idx + 1], list_idx, elem_idx + 1)) return merged_list # Test cases assert merge_sorted_list([25, 24, 15, 4, 5, 29, 110], [19, 20, 11, 56, 25, 233, 154], [24, 26, 54, 48]) == [4, 5, 11, 15, 19, 20, 24, 24, 25, 25, 26, 29, 48, 54, 56, 110, 154, 233] assert merge_sorted_list([1, 3, 5, 6, 8, 9], [2, 5, 7, 11], [1, 4, 7, 8, 12]) == [1, 1, 2, 3, 4, 5, 5, 6, 7, 7, 8, 8, 9, 11, 12] assert merge_sorted_list([18, 14, 10, 9, 8, 7, 9, 3, 2, 4, 1], [25, 35, 22, 85, 14, 65, 75, 25, 58], [12, 74, 9, 50, 61, 41]) == [1, 2, 3, 4, 7, 8, 9, 9, 9, 10, 12, 14, 14, 18, 22, 25, 25, 35, 41, 50, 58, 61, 65, 74, 75, 85] ``` [DONE]	wrong_answer 测试用例：assert merge_sorted_list([25, 24, 15, 4, 5, 29, 110],[19, 20, 11, 56, 25, 233, 154],[24, 26, 54, 48])==[4, 5, 11, 15, 19, 20, 24, 24, 25, 25, 26, 29, 48, 54, 56, 110, 154, 233] assert merge_sorted_list([1, 3, 5, 6, 8, 9], [2, 5, 7, 11], [1, 4, 7, 8, 12])==[1, 1, 2, 3, 4, 5, 5, 6, 7, 7, 8, 8, 9, 11, 12] assert merge_sorted_list([18, 14, 10, 9, 8, 7, 9, 3, 2, 4, 1],[25, 35, 22, 85, 14, 65, 75, 25, 58],[12, 74, 9, 50, 61, 41])==[1, 2, 3, 4, 7, 8, 9, 9, 9, 10, 12, 14, 14, 18, 22, 25, 25, 35, 41, 50, 58, 61, 65, 74, 75, 85]
deepseekr1	To solve this problem, we need to merge multiple sorted lists into a single sorted list using the heap queue algorithm. The goal is to efficiently combine the elements from all input lists into a sorted sequence using a heap to manage the elements dynamically. ### Approach The approach involves using a heap data structure to efficiently merge the elements from all input lists. Here's a step-by-step breakdown of the approach: 1. Heap Initialization: Collect all elements from the input lists into a single list. 2. Heap Construction: Convert the collected list into a heap using the `heapq.heapify` function, which rearranges the elements in-place to satisfy the heap property (each parent node is less than or equal to its children). 3. Element Extraction: Extract elements from the heap one by one using `heapq.heappop`, which always pops the smallest element remaining in the heap. This process ensures that the elements are retrieved in ascending order. This approach leverages the heap data structure to efficiently manage and retrieve elements in sorted order, resulting in an overall time complexity of O(N log N), where N is the total number of elements across all input lists. ### Solution Code ```python import heapq def merge_sorted_list(lists): merged = [] for lst in lists: merged.extend(lst) heapq.heapify(merged) return [heapq.heappop(merged) for _ in range(len(merged))] ``` ### Explanation 1. Collecting Elements: All elements from the input lists are collected into a single list `merged`. 2. Heap Construction: The `heapq.heapify` function transforms the `merged` list into a heap, ensuring the smallest element is at the root. 3. Sorted Extraction*: Using a list comprehension, elements are repeatedly popped from the heap (starting with the smallest) and added to the result list until the heap is empty. This results in a sorted list. This method efficiently combines elements from multiple lists into a single sorted list using the heap queue algorithm, ensuring optimal performance and correctness.	pass 测试用例：assert merge_sorted_list([25, 24, 15, 4, 5, 29, 110],[19, 20, 11, 56, 25, 233, 154],[24, 26, 54, 48])==[4, 5, 11, 15, 19, 20, 24, 24, 25, 25, 26, 29, 48, 54, 56, 110, 154, 233] assert merge_sorted_list([1, 3, 5, 6, 8, 9], [2, 5, 7, 11], [1, 4, 7, 8, 12])==[1, 1, 2, 3, 4, 5, 5, 6, 7, 7, 8, 8, 9, 11, 12] assert merge_sorted_list([18, 14, 10, 9, 8, 7, 9, 3, 2, 4, 1],[25, 35, 22, 85, 14, 65, 75, 25, 58],[12, 74, 9, 50, 61, 41])==[1, 2, 3, 4, 7, 8, 9, 9, 9, 10, 12, 14, 14, 18, 22, 25, 25, 35, 41, 50, 58, 61, 65, 74, 75, 85]
gpto1	```python import heapq def merge_sorted_list(lists): sorted_lists = [sorted(lst) for lst in lists] return list(heapq.merge(sorted_lists)) ```	pass 测试用例：assert merge_sorted_list([25, 24, 15, 4, 5, 29, 110],[19, 20, 11, 56, 25, 233, 154],[24, 26, 54, 48])==[4, 5, 11, 15, 19, 20, 24, 24, 25, 25, 26, 29, 48, 54, 56, 110, 154, 233] assert merge_sorted_list([1, 3, 5, 6, 8, 9], [2, 5, 7, 11], [1, 4, 7, 8, 12])==[1, 1, 2, 3, 4, 5, 5, 6, 7, 7, 8, 8, 9, 11, 12] assert merge_sorted_list([18, 14, 10, 9, 8, 7, 9, 3, 2, 4, 1],[25, 35, 22, 85, 14, 65, 75, 25, 58],[12, 74, 9, 50, 61, 41])==[1, 2, 3, 4, 7, 8, 9, 9, 9, 10, 12, 14, 14, 18, 22, 25, 25, 35, 41, 50, 58, 61, 65, 74, 75, 85]
GPT-4o	```python import heapq as hq def merge_sorted_list(lists): # Use heapq.merge to merge the sorted lists merged_list = list(hq.merge(lists)) return merged_list # Test cases assert merge_sorted_list([25, 24, 15, 4, 5, 29, 110],[19, 20, 11, 56, 25, 233, 154],[24, 26, 54, 48]) == [4, 5, 11, 15, 19, 20, 24, 24, 25, 25, 26, 29, 48, 54, 56, 110, 154, 233] assert merge_sorted_list([1, 3, 5, 6, 8, 9], [2, 5, 7, 11], [1, 4, 7, 8, 12]) == [1, 1, 2, 3, 4, 5, 5, 6, 7, 7, 8, 8, 9, 11, 12] assert merge_sorted_list([18, 14, 10, 9, 8, 7, 9, 3, 2, 4, 1],[25, 35, 22, 85, 14, 65, 75, 25, 58],[12, 74, 9, 50, 61, 41]) == [1, 2, 3, 4, 7, 8, 9, 9, 9, 10, 12, 14, 14, 18, 22, 25, 25, 35, 41, 50, 58, 61, 65, 74, 75, 85] ``` Explanation: - The function `merge_sorted_list` accepts multiple sorted lists as input. - It uses `heapq.merge`, which is designed to merge multiple sorted inputs into a single sorted iterator. - The result is then converted to a list and returned. - The provided test cases validate the function's correctness. This approach efficiently merges multiple sorted lists with a time complexity of O(N log k), where N is the total number of elements and k is the number of lists.	wrong_answer 测试用例：assert merge_sorted_list([25, 24, 15, 4, 5, 29, 110],[19, 20, 11, 56, 25, 233, 154],[24, 26, 54, 48])==[4, 5, 11, 15, 19, 20, 24, 24, 25, 25, 26, 29, 48, 54, 56, 110, 154, 233] assert merge_sorted_list([1, 3, 5, 6, 8, 9], [2, 5, 7, 11], [1, 4, 7, 8, 12])==[1, 1, 2, 3, 4, 5, 5, 6, 7, 7, 8, 8, 9, 11, 12] assert merge_sorted_list([18, 14, 10, 9, 8, 7, 9, 3, 2, 4, 1],[25, 35, 22, 85, 14, 65, 75, 25, 58],[12, 74, 9, 50, 61, 41])==[1, 2, 3, 4, 7, 8, 9, 9, 9, 10, 12, 14, 14, 18, 22, 25, 25, 35, 41, 50, 58, 61, 65, 74, 75, 85]
llama3.1-70B-Instruct	import heapq def merge_sorted_list(args): return list(heapq.merge(args))	wrong_answer 测试用例：assert merge_sorted_list([25, 24, 15, 4, 5, 29, 110],[19, 20, 11, 56, 25, 233, 154],[24, 26, 54, 48])==[4, 5, 11, 15, 19, 20, 24, 24, 25, 25, 26, 29, 48, 54, 56, 110, 154, 233] assert merge_sorted_list([1, 3, 5, 6, 8, 9], [2, 5, 7, 11], [1, 4, 7, 8, 12])==[1, 1, 2, 3, 4, 5, 5, 6, 7, 7, 8, 8, 9, 11, 12] assert merge_sorted_list([18, 14, 10, 9, 8, 7, 9, 3, 2, 4, 1],[25, 35, 22, 85, 14, 65, 75, 25, 58],[12, 74, 9, 50, 61, 41])==[1, 2, 3, 4, 7, 8, 9, 9, 9, 10, 12, 14, 14, 18, 22, 25, 25, 35, 41, 50, 58, 61, 65, 74, 75, 85]
llama3.1-405B-Instruct	import heapq as hq def merge_sorted_list(*args): merged_list = [] heap = [(lst[0], i, 0) for i, lst in enumerate(args) if lst] hq.heapify(heap) while heap: val, list_ind, element_ind = hq.heappop(heap) merged_list.append(val) if element_ind + 1 < len(args[list_ind]): next_tuple = (args[list_ind][element_ind + 1], list_ind, element_ind + 1) hq.heappush(heap, next_tuple) return merged_list	wrong_answer 测试用例：assert merge_sorted_list([25, 24, 15, 4, 5, 29, 110],[19, 20, 11, 56, 25, 233, 154],[24, 26, 54, 48])==[4, 5, 11, 15, 19, 20, 24, 24, 25, 25, 26, 29, 48, 54, 56, 110, 154, 233] assert merge_sorted_list([1, 3, 5, 6, 8, 9], [2, 5, 7, 11], [1, 4, 7, 8, 12])==[1, 1, 2, 3, 4, 5, 5, 6, 7, 7, 8, 8, 9, 11, 12] assert merge_sorted_list([18, 14, 10, 9, 8, 7, 9, 3, 2, 4, 1],[25, 35, 22, 85, 14, 65, 75, 25, 58],[12, 74, 9, 50, 61, 41])==[1, 2, 3, 4, 7, 8, 9, 9, 9, 10, 12, 14, 14, 18, 22, 25, 25, 35, 41, 50, 58, 61, 65, 74, 75, 85]
DeepSeek-Coder-V2	```python import heapq as hq def merge_sorted_list(*lists): merged_list = [] heap = [] # Initialize heap with the first element of each list for i, lst in enumerate(lists): if lst: hq.heappush(heap, (lst[0], i, 0)) # Extract and insert the smallest element from heap while heap: val, list_idx, elem_idx = hq.heappop(heap) merged_list.append(val) # If there are more elements in the same list, push the next element into the heap if elem_idx + 1 < len(lists[list_idx]): hq.heappush(heap, (lists[list_idx][elem_idx + 1], list_idx, elem_idx + 1)) return merged_list # Test cases assert merge_sorted_list([25, 24, 15, 4, 5, 29, 110], [19, 20, 11, 56, 25, 233, 154], [24, 26, 54, 48]) == [4, 5, 11, 15, 19, 20, 24, 24, 25, 25, 26, 29, 48, 54, 56, 110, 154, 233] assert merge_sorted_list([1, 3, 5, 6, 8, 9], [2, 5, 7, 11], [1, 4, 7, 8, 12]) == [1, 1, 2, 3, 4, 5, 5, 6, 7, 7, 8, 8, 9, 11, 12] assert merge_sorted_list([18, 14, 10, 9, 8, 7, 9, 3, 2, 4, 1], [25, 35, 22, 85, 14, 65, 75, 25, 58], [12, 74, 9, 50, 61, 41]) == [1, 2, 3, 4, 7, 8, 9, 9, 9, 10, 12, 14, 14, 18, 22, 25, 25, 35, 41, 50, 58, 61, 65, 74, 75, 85] ``` [DONE]	wrong_answer 测试用例：assert merge_sorted_list([25, 24, 15, 4, 5, 29, 110],[19, 20, 11, 56, 25, 233, 154],[24, 26, 54, 48])==[4, 5, 11, 15, 19, 20, 24, 24, 25, 25, 26, 29, 48, 54, 56, 110, 154, 233] assert merge_sorted_list([1, 3, 5, 6, 8, 9], [2, 5, 7, 11], [1, 4, 7, 8, 12])==[1, 1, 2, 3, 4, 5, 5, 6, 7, 7, 8, 8, 9, 11, 12] assert merge_sorted_list([18, 14, 10, 9, 8, 7, 9, 3, 2, 4, 1],[25, 35, 22, 85, 14, 65, 75, 25, 58],[12, 74, 9, 50, 61, 41])==[1, 2, 3, 4, 7, 8, 9, 9, 9, 10, 12, 14, 14, 18, 22, 25, 25, 35, 41, 50, 58, 61, 65, 74, 75, 85]
Qwen2-72B-Instruct	'import heapq as hq def merge_sorted_list(args): merged_list = hq.merge(args) return list(merged_list)' [DONE]	wrong_answer 测试用例：assert merge_sorted_list([25, 24, 15, 4, 5, 29, 110],[19, 20, 11, 56, 25, 233, 154],[24, 26, 54, 48])==[4, 5, 11, 15, 19, 20, 24, 24, 25, 25, 26, 29, 48, 54, 56, 110, 154, 233] assert merge_sorted_list([1, 3, 5, 6, 8, 9], [2, 5, 7, 11], [1, 4, 7, 8, 12])==[1, 1, 2, 3, 4, 5, 5, 6, 7, 7, 8, 8, 9, 11, 12] assert merge_sorted_list([18, 14, 10, 9, 8, 7, 9, 3, 2, 4, 1],[25, 35, 22, 85, 14, 65, 75, 25, 58],[12, 74, 9, 50, 61, 41])==[1, 2, 3, 4, 7, 8, 9, 9, 9, 10, 12, 14, 14, 18, 22, 25, 25, 35, 41, 50, 58, 61, 65, 74, 75, 85]
baichuan4	To merge multiple sorted inputs into a single sorted iterator using the heap queue algorithm in Python, you can use the `heapq` module. Below is a function that takes a variable number of sorted lists as input and returns a single sorted list: ```python import heapq def merge_sorted_list(*args): # Create a min-heap with the first element of each list min_heap = [(lst[0], i, 0) for i, lst in enumerate(args) if lst] heapq.heapify(min_heap) result = [] while min_heap: val, list_idx, element_idx = heapq.heappop(min_heap) result.append(val) # If there are more elements in the current list, push the next element onto the heap if element_idx + 1 < len(args[list_idx]): next_tuple = (args[list_idx][element_idx + 1], list_idx, element_idx + 1) heapq.heappush(min_heap, next_tuple) return result # Tests assert merge_sorted_list([25, 24, 15, 4, 5, 29, 110],[19, 20, 11, 56, 25, 233, 154],[24, 26, 54, 48]) == [4, 5, 11, 15, 19, 20, 24, 24, 25, 25, 26, 29, 48, 54, 56, 110, 154, 233] assert merge_sorted_list([1, 3, 5, 6, 8, 9], [2, 5, 7, 11], [1, 4, 7, 8, 12]) == [1, 1, 2, 3, 4, 5, 5, 6, 7, 7, 8, 8, 9, 11, 12] assert merge_sorted_list([18, 14, 10, 9, 8, 7, 9, 3, 2, 4, 1],[25, 35, 22, 85, 14, 65, 75, 25, 58],[12, 74, 9, 50, 61, 41]) == [1, 2, 3, 4, 7, 8, 9, 9, 9, 10, 12, 14, 14, 18, 22, 25, 25, 35, 41, 50, 58, 61, 65, 74, 75, 85] ``` This function first creates a min-heap using the first element of each input list (if the list is not empty). Each entry in the heap is a tuple containing the value, the index of the list it came from, and the index of the element within that list. As we pop elements from the heap, we add them to the result list. If there are more elements in the list that the popped element came from, we push the next element from that list onto the heap. This way, the smallest elements from all the lists are always at the top of the heap, and we can merge the lists in a sorted manner.	wrong_answer 测试用例：assert merge_sorted_list([25, 24, 15, 4, 5, 29, 110],[19, 20, 11, 56, 25, 233, 154],[24, 26, 54, 48])==[4, 5, 11, 15, 19, 20, 24, 24, 25, 25, 26, 29, 48, 54, 56, 110, 154, 233] assert merge_sorted_list([1, 3, 5, 6, 8, 9], [2, 5, 7, 11], [1, 4, 7, 8, 12])==[1, 1, 2, 3, 4, 5, 5, 6, 7, 7, 8, 8, 9, 11, 12] assert merge_sorted_list([18, 14, 10, 9, 8, 7, 9, 3, 2, 4, 1],[25, 35, 22, 85, 14, 65, 75, 25, 58],[12, 74, 9, 50, 61, 41])==[1, 2, 3, 4, 7, 8, 9, 9, 9, 10, 12, 14, 14, 18, 22, 25, 25, 35, 41, 50, 58, 61, 65, 74, 75, 85]
doubao	import heapq as hq def merge_sorted_list(lists): merged = [] heap = [] for i, l in enumerate(lists): hq.heappush(heap, (l[0], i, 0)) while heap: value, list_index, element_index = hq.heappop(heap) merged.append(value) if element_index + 1 < len(lists[list_index]): hq.heappush(heap, (lists[list_index][element_index + 1], list_index, element_index + 1)) return merged [DONE]	failed 测试用例：assert merge_sorted_list([25, 24, 15, 4, 5, 29, 110],[19, 20, 11, 56, 25, 233, 154],[24, 26, 54, 48])==[4, 5, 11, 15, 19, 20, 24, 24, 25, 25, 26, 29, 48, 54, 56, 110, 154, 233] assert merge_sorted_list([1, 3, 5, 6, 8, 9], [2, 5, 7, 11], [1, 4, 7, 8, 12])==[1, 1, 2, 3, 4, 5, 5, 6, 7, 7, 8, 8, 9, 11, 12] assert merge_sorted_list([18, 14, 10, 9, 8, 7, 9, 3, 2, 4, 1],[25, 35, 22, 85, 14, 65, 75, 25, 58],[12, 74, 9, 50, 61, 41])==[1, 2, 3, 4, 7, 8, 9, 9, 9, 10, 12, 14, 14, 18, 22, 25, 25, 35, 41, 50, 58, 61, 65, 74, 75, 85]
minimax	```python import heapq def merge_sorted_list(*args): # Create a heap from the first element of each list heap = [(lst[0], i, 0) for i, lst in enumerate(args) if lst] heapq.heapify(heap) merged_list = [] while heap: val, i, j = heapq.heappop(heap) merged_list.append(val) if j + 1 < len(args[i]): next_val = args[i][j + 1] heapq.heappush(heap, (next_val, i, j + 1)) return merged_list # Test cases assert merge_sorted_list([25, 24, 15, 4, 5, 29, 110], [19, 20, 11, 56, 25, 233, 154], [24, 26, 54, 48]) == [4, 5, 11, 15, 19, 20, 24, 24, 25, 25, 26, 29, 48, 54, 56, 110, 154, 233] assert merge_sorted_list([1, 3, 5, 6, 8, 9], [2, 5, 7, 11], [1, 4, 7, 8, 12]) == [1, 1, 2, 3, 4, 5, 5, 6, 7, 7, 8, 8, 9, 9, 11, 12] assert merge_sorted_list([18, 14, 10, 9, 8, 7, 9, 3, 2, 4, 1], [25, 35, 22, 85, 14, 65, 75, 25, 58], [12, 74, 9, 50, 61, 41]) == [1, 2, 3, 4, 7, 8, 9, 9, 9, 10, 12, 14, 14, 18, 22, 25, 25, 35, 41, 50, 58, 61, 65, 74, 75, 85] ``` This function `merge_sorted_list` takes multiple sorted lists as arguments and merges them into a single sorted list using the heap queue algorithm. The test cases provided are used to verify that the function works as expected.	wrong_answer 测试用例：assert merge_sorted_list([25, 24, 15, 4, 5, 29, 110],[19, 20, 11, 56, 25, 233, 154],[24, 26, 54, 48])==[4, 5, 11, 15, 19, 20, 24, 24, 25, 25, 26, 29, 48, 54, 56, 110, 154, 233] assert merge_sorted_list([1, 3, 5, 6, 8, 9], [2, 5, 7, 11], [1, 4, 7, 8, 12])==[1, 1, 2, 3, 4, 5, 5, 6, 7, 7, 8, 8, 9, 11, 12] assert merge_sorted_list([18, 14, 10, 9, 8, 7, 9, 3, 2, 4, 1],[25, 35, 22, 85, 14, 65, 75, 25, 58],[12, 74, 9, 50, 61, 41])==[1, 2, 3, 4, 7, 8, 9, 9, 9, 10, 12, 14, 14, 18, 22, 25, 25, 35, 41, 50, 58, 61, 65, 74, 75, 85]
kimi	Certainly! Below are the Python functions that fulfill the tasks you've described: 1. Function to find similar elements from two tuple lists: ```python def similar_elements(test_tup1, test_tup2): res = tuple(sorted(set(test_tup1) & set(test_tup2))) return res ``` 2. Function to 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 ``` 3. Function to find the largest integers from a given list of numbers using heap queue algorithm: ```python import heapq def heap_queue_largest(nums, n): largest_nums = heapq.nlargest(n, nums) return largest_nums ``` 4. Function to merge multiple sorted inputs into a single sorted iterator using heap queue algorithm: ```python import heapq def merge_sorted_list(*sorted_lists): # Create a heap queue with the first element of each list heap = [] for lst in sorted_lists: if lst: # Check if the list is not empty heapq.heappush(heap, (lst[0], 0, lst)) merged_list = [] while heap: value, index, lst = heapq.heappop(heap) merged_list.append(value) if index + 1 < len(lst): heapq.heappush(heap, (lst[index + 1], index + 1, lst)) return merged_list ``` These functions should pass the tests you've provided.	failed 测试用例：assert merge_sorted_list([25, 24, 15, 4, 5, 29, 110],[19, 20, 11, 56, 25, 233, 154],[24, 26, 54, 48])==[4, 5, 11, 15, 19, 20, 24, 24, 25, 25, 26, 29, 48, 54, 56, 110, 154, 233] assert merge_sorted_list([1, 3, 5, 6, 8, 9], [2, 5, 7, 11], [1, 4, 7, 8, 12])==[1, 1, 2, 3, 4, 5, 5, 6, 7, 7, 8, 8, 9, 11, 12] assert merge_sorted_list([18, 14, 10, 9, 8, 7, 9, 3, 2, 4, 1],[25, 35, 22, 85, 14, 65, 75, 25, 58],[12, 74, 9, 50, 61, 41])==[1, 2, 3, 4, 7, 8, 9, 9, 9, 10, 12, 14, 14, 18, 22, 25, 25, 35, 41, 50, 58, 61, 65, 74, 75, 85]
wenxinyiyan	To solve the task of merging multiple sorted inputs into a single sorted iterator using the heap queue algorithm, you can use the `heapq` module in Python. Here's the implementation of the `merge_sorted_list` function: ```python import heapq def merge_sorted_list(*sorted_lists): # Create a min heap and push the first element of each list with its index heap = [] for i, lst in enumerate(sorted_lists): if lst: # Check if the list is not empty heapq.heappush(heap, (lst[0], i, 0)) # Push (value, list_index, element_index) # Initialize the merged sorted list merged = [] # Pop elements from the heap until it's empty while heap: val, list_index, element_index = heapq.heappop(heap) merged.append(val) # Append the popped value to the merged list # If there are more elements in the list, push the next element to the heap next_index = element_index + 1 if next_index < len(sorted_lists[list_index]): next_val = sorted_lists[list_index][next_index] heapq.heappush(heap, (next_val, list_index, next_index)) return merged ``` Now, let's test the function with the provided test cases: ```python assert merge_sorted_list([25, 24, 15, 4, 5, 29, 110], [19, 20, 11, 56, 25, 233, 154], [24, 26, 54, 48]) == [4, 5, 11, 15, 19, 20, 24, 24, 25, 25, 26, 29, 48, 54, 56, 110, 154, 233] assert merge_sorted_list([1, 3, 5, 6, 8, 9], [2, 5, 7, 11], [1, 4, 7, 8, 12]) == [1, 1, 2, 3, 4, 5, 5, 6, 7, 7, 8, 8, 9, 11, 12] assert merge_sorted_list([18, 14, 10, 9, 8, 7, 9, 3, 2, 4, 1], [25, 35, 22, 85, 14, 65, 75, 25, 58], [12, 74, 9, 50, 61, 41]) == [1, 2, 3, 4, 7, 8, 9, 9, 9, 10, 12, 14, 14, 18, 22, 25, 25, 35, 41, 50, 58, 61, 65, 74, 75, 85] ``` All the tests should pass, indicating that the function works correctly.	wrong_answer 测试用例：assert merge_sorted_list([25, 24, 15, 4, 5, 29, 110],[19, 20, 11, 56, 25, 233, 154],[24, 26, 54, 48])==[4, 5, 11, 15, 19, 20, 24, 24, 25, 25, 26, 29, 48, 54, 56, 110, 154, 233] assert merge_sorted_list([1, 3, 5, 6, 8, 9], [2, 5, 7, 11], [1, 4, 7, 8, 12])==[1, 1, 2, 3, 4, 5, 5, 6, 7, 7, 8, 8, 9, 11, 12] assert merge_sorted_list([18, 14, 10, 9, 8, 7, 9, 3, 2, 4, 1],[25, 35, 22, 85, 14, 65, 75, 25, 58],[12, 74, 9, 50, 61, 41])==[1, 2, 3, 4, 7, 8, 9, 9, 9, 10, 12, 14, 14, 18, 22, 25, 25, 35, 41, 50, 58, 61, 65, 74, 75, 85]
zhipu	To merge multiple sorted lists into a single sorted iterator using the heap queue algorithm, we can use the `heapq.merge` function, which takes multiple inputs and returns a single iterator that produces the merged output in sorted order. Here's the implementation of the `merge_sorted_list` function: ```python import heapq def merge_sorted_list(sorted_lists): return list(heapq.merge(sorted_lists)) # Test cases assert merge_sorted_list([25, 24, 15, 4, 5, 29, 110], [19, 20, 11, 56, 25, 233, 154], [24, 26, 54, 48]) == [4, 5, 11, 15, 19, 20, 24, 24, 25, 25, 26, 29, 48, 54, 56, 110, 154, 233] assert merge_sorted_list([1, 3, 5, 6, 8, 9], [2, 5, 7, 11], [1, 4, 7, 8, 12]) == [1, 1, 2, 3, 4, 5, 5, 6, 7, 7, 8, 8, 9, 11, 12] assert merge_sorted_list([18, 14, 10, 9, 8, 7, 9, 3, 2, 4, 1], [25, 35, 22, 85, 14, 65, 75, 25, 58], [12, 74, 9, 50, 61, 41]) == [1, 2, 3, 4, 7, 8, 9, 9, 9, 10, 12, 14, 14, 18, 22, 25, 25, 35, 41, 50, 58, 61, 65, 74, 75, 85] print("All tests passed!") ``` ### Explanation: 1. Function Definition: The function `merge_sorted_list` takes multiple sorted lists as arguments using the `sorted_lists` syntax, which collects all positional arguments into a tuple. 2. Heapq Merge: The `heapq.merge` function is used to merge all the sorted lists. This function returns an iterator that produces the merged output in sorted order. 3. Return List*: The iterator is converted to a list before returning to match the expected output format in the test cases. ### Test Cases: - The test cases are provided to ensure the function works correctly for different sets of sorted lists. - Each test case asserts that the function's output matches the expected sorted merged list. This implementation should pass all the given test cases.	wrong_answer 测试用例：assert merge_sorted_list([25, 24, 15, 4, 5, 29, 110],[19, 20, 11, 56, 25, 233, 154],[24, 26, 54, 48])==[4, 5, 11, 15, 19, 20, 24, 24, 25, 25, 26, 29, 48, 54, 56, 110, 154, 233] assert merge_sorted_list([1, 3, 5, 6, 8, 9], [2, 5, 7, 11], [1, 4, 7, 8, 12])==[1, 1, 2, 3, 4, 5, 5, 6, 7, 7, 8, 8, 9, 11, 12] assert merge_sorted_list([18, 14, 10, 9, 8, 7, 9, 3, 2, 4, 1],[25, 35, 22, 85, 14, 65, 75, 25, 58],[12, 74, 9, 50, 61, 41])==[1, 2, 3, 4, 7, 8, 9, 9, 9, 10, 12, 14, 14, 18, 22, 25, 25, 35, 41, 50, 58, 61, 65, 74, 75, 85]
gpto1	```python import heapq def merge_sorted_list(lists): sorted_lists = [sorted(lst) for lst in lists] return list(heapq.merge(sorted_lists)) ```	pass 测试用例：assert merge_sorted_list([25, 24, 15, 4, 5, 29, 110],[19, 20, 11, 56, 25, 233, 154],[24, 26, 54, 48])==[4, 5, 11, 15, 19, 20, 24, 24, 25, 25, 26, 29, 48, 54, 56, 110, 154, 233] assert merge_sorted_list([1, 3, 5, 6, 8, 9], [2, 5, 7, 11], [1, 4, 7, 8, 12])==[1, 1, 2, 3, 4, 5, 5, 6, 7, 7, 8, 8, 9, 11, 12] assert merge_sorted_list([18, 14, 10, 9, 8, 7, 9, 3, 2, 4, 1],[25, 35, 22, 85, 14, 65, 75, 25, 58],[12, 74, 9, 50, 61, 41])==[1, 2, 3, 4, 7, 8, 9, 9, 9, 10, 12, 14, 14, 18, 22, 25, 25, 35, 41, 50, 58, 61, 65, 74, 75, 85]
deepseekv3	To solve the task of merging multiple sorted inputs into a single sorted iterator using the heap queue algorithm, we can use the `heapq.merge` function, which is specifically designed for this purpose. Here's the implementation: ```python import heapq def merge_sorted_list(lists): # Merge all sorted lists using heapq.merge merged = heapq.merge(lists) # Convert the iterator to a list and return it return list(merged) # Test cases assert merge_sorted_list([25, 24, 15, 4, 5, 29, 110],[19, 20, 11, 56, 25, 233, 154],[24, 26, 54, 48])==[4, 5, 11, 15, 19, 20, 24, 24, 25, 25, 26, 29, 48, 54, 56, 110, 154, 233] assert merge_sorted_list([1, 3, 5, 6, 8, 9], [2, 5, 7, 11], [1, 4, 7, 8, 12])==[1, 1, 2, 3, 4, 5, 5, 6, 7, 7, 8, 8, 9, 11, 12] assert merge_sorted_list([18, 14, 10, 9, 8, 7, 9, 3, 2, 4, 1],[25, 35, 22, 85, 14, 65, 75, 25, 58],[12, 74, 9, 50, 61, 41])==[1, 2, 3, 4, 7, 8, 9, 9, 9, 10, 12, 14, 14, 18, 22, 25, 25, 35, 41, 50, 58, 61, 65, 74, 75, 85] ``` ### Explanation: 1. `heapq.merge`: This function takes multiple sorted iterables and returns a single iterator that yields all the items from the input iterables in sorted order. 2. *`lists`*: The `` operator is used to unpack the list of input lists, allowing `heapq.merge` to handle multiple inputs. 3. Conversion to List: Since `heapq.merge` returns an iterator, we convert it to a list before returning it. This approach is efficient and leverages the strengths of the `heapq` module to merge sorted lists seamlessly.	wrong_answer 测试用例：assert merge_sorted_list([25, 24, 15, 4, 5, 29, 110],[19, 20, 11, 56, 25, 233, 154],[24, 26, 54, 48])==[4, 5, 11, 15, 19, 20, 24, 24, 25, 25, 26, 29, 48, 54, 56, 110, 154, 233] assert merge_sorted_list([1, 3, 5, 6, 8, 9], [2, 5, 7, 11], [1, 4, 7, 8, 12])==[1, 1, 2, 3, 4, 5, 5, 6, 7, 7, 8, 8, 9, 11, 12] assert merge_sorted_list([18, 14, 10, 9, 8, 7, 9, 3, 2, 4, 1],[25, 35, 22, 85, 14, 65, 75, 25, 58],[12, 74, 9, 50, 61, 41])==[1, 2, 3, 4, 7, 8, 9, 9, 9, 10, 12, 14, 14, 18, 22, 25, 25, 35, 41, 50, 58, 61, 65, 74, 75, 85]

模型

模型答案

测试结果

金声玉亮2.0

```python
import heapq as hq

def merge_sorted_list(*lists):
merged_list = []
heap = []

# Initialize heap with the first element of each list
for i, lst in enumerate(lists):
if lst:
hq.heappush(heap, (lst[0], i, 0))

# Extract and insert the smallest element from heap
while heap:
val, list_idx, elem_idx = hq.heappop(heap)
merged_list.append(val)

# If there are more elements in the same list, push the next element into the heap
if elem_idx + 1 < len(lists[list_idx]):
hq.heappush(heap, (lists[list_idx][elem_idx + 1], list_idx, elem_idx + 1))

return merged_list

# Test cases
assert merge_sorted_list([25, 24, 15, 4, 5, 29, 110], [19, 20, 11, 56, 25, 233, 154], [24, 26, 54, 48]) == [4, 5, 11, 15, 19, 20, 24, 24, 25, 25, 26, 29, 48, 54, 56, 110, 154, 233]
assert merge_sorted_list([1, 3, 5, 6, 8, 9], [2, 5, 7, 11], [1, 4, 7, 8, 12]) == [1, 1, 2, 3, 4, 5, 5, 6, 7, 7, 8, 8, 9, 11, 12]
assert merge_sorted_list([18, 14, 10, 9, 8, 7, 9, 3, 2, 4, 1], [25, 35, 22, 85, 14, 65, 75, 25, 58], [12, 74, 9, 50, 61, 41]) == [1, 2, 3, 4, 7, 8, 9, 9, 9, 10, 12, 14, 14, 18, 22, 25, 25, 35, 41, 50, 58, 61, 65, 74, 75, 85]
```
[DONE]

wrong_answer
测试用例：assert merge_sorted_list([25, 24, 15, 4, 5, 29, 110],[19, 20, 11, 56, 25, 233, 154],[24, 26, 54, 48])==[4, 5, 11, 15, 19, 20, 24, 24, 25, 25, 26, 29, 48, 54, 56, 110, 154, 233]
assert merge_sorted_list([1, 3, 5, 6, 8, 9], [2, 5, 7, 11], [1, 4, 7, 8, 12])==[1, 1, 2, 3, 4, 5, 5, 6, 7, 7, 8, 8, 9, 11, 12]
assert merge_sorted_list([18, 14, 10, 9, 8, 7, 9, 3, 2, 4, 1],[25, 35, 22, 85, 14, 65, 75, 25, 58],[12, 74, 9, 50, 61, 41])==[1, 2, 3, 4, 7, 8, 9, 9, 9, 10, 12, 14, 14, 18, 22, 25, 25, 35, 41, 50, 58, 61, 65, 74, 75, 85]

deepseekr1

To solve this problem, we need to merge multiple sorted lists into a single sorted list using the heap queue algorithm. The goal is to efficiently combine the elements from all input lists into a sorted sequence using a heap to manage the elements dynamically.

### Approach
The approach involves using a heap data structure to efficiently merge the elements from all input lists. Here's a step-by-step breakdown of the approach:

1. **Heap Initialization**: Collect all elements from the input lists into a single list.
2. **Heap Construction**: Convert the collected list into a heap using the `heapq.heapify` function, which rearranges the elements in-place to satisfy the heap property (each parent node is less than or equal to its children).
3. **Element Extraction**: Extract elements from the heap one by one using `heapq.heappop`, which always pops the smallest element remaining in the heap. This process ensures that the elements are retrieved in ascending order.

This approach leverages the heap data structure to efficiently manage and retrieve elements in sorted order, resulting in an overall time complexity of O(N log N), where N is the total number of elements across all input lists.

### Solution Code
```python
import heapq

def merge_sorted_list(*lists):
merged = []
for lst in lists:
merged.extend(lst)
heapq.heapify(merged)
return [heapq.heappop(merged) for _ in range(len(merged))]
```

### Explanation
1. **Collecting Elements**: All elements from the input lists are collected into a single list `merged`.
2. **Heap Construction**: The `heapq.heapify` function transforms the `merged` list into a heap, ensuring the smallest element is at the root.
3. **Sorted Extraction**: Using a list comprehension, elements are repeatedly popped from the heap (starting with the smallest) and added to the result list until the heap is empty. This results in a sorted list.

This method efficiently combines elements from multiple lists into a single sorted list using the heap queue algorithm, ensuring optimal performance and correctness.

pass
测试用例：assert merge_sorted_list([25, 24, 15, 4, 5, 29, 110],[19, 20, 11, 56, 25, 233, 154],[24, 26, 54, 48])==[4, 5, 11, 15, 19, 20, 24, 24, 25, 25, 26, 29, 48, 54, 56, 110, 154, 233]
assert merge_sorted_list([1, 3, 5, 6, 8, 9], [2, 5, 7, 11], [1, 4, 7, 8, 12])==[1, 1, 2, 3, 4, 5, 5, 6, 7, 7, 8, 8, 9, 11, 12]
assert merge_sorted_list([18, 14, 10, 9, 8, 7, 9, 3, 2, 4, 1],[25, 35, 22, 85, 14, 65, 75, 25, 58],[12, 74, 9, 50, 61, 41])==[1, 2, 3, 4, 7, 8, 9, 9, 9, 10, 12, 14, 14, 18, 22, 25, 25, 35, 41, 50, 58, 61, 65, 74, 75, 85]

gpto1

```python
import heapq
def merge_sorted_list(*lists):
sorted_lists = [sorted(lst) for lst in lists]
return list(heapq.merge(*sorted_lists))
```

GPT-4o

```python
import heapq as hq

def merge_sorted_list(*lists):
# Use heapq.merge to merge the sorted lists
merged_list = list(hq.merge(*lists))
return merged_list

# Test cases
assert merge_sorted_list([25, 24, 15, 4, 5, 29, 110],[19, 20, 11, 56, 25, 233, 154],[24, 26, 54, 48]) == [4, 5, 11, 15, 19, 20, 24, 24, 25, 25, 26, 29, 48, 54, 56, 110, 154, 233]
assert merge_sorted_list([1, 3, 5, 6, 8, 9], [2, 5, 7, 11], [1, 4, 7, 8, 12]) == [1, 1, 2, 3, 4, 5, 5, 6, 7, 7, 8, 8, 9, 11, 12]
assert merge_sorted_list([18, 14, 10, 9, 8, 7, 9, 3, 2, 4, 1],[25, 35, 22, 85, 14, 65, 75, 25, 58],[12, 74, 9, 50, 61, 41]) == [1, 2, 3, 4, 7, 8, 9, 9, 9, 10, 12, 14, 14, 18, 22, 25, 25, 35, 41, 50, 58, 61, 65, 74, 75, 85]
```

Explanation:
- The function `merge_sorted_list` accepts multiple sorted lists as input.
- It uses `heapq.merge`, which is designed to merge multiple sorted inputs into a single sorted iterator.
- The result is then converted to a list and returned.
- The provided test cases validate the function's correctness.

This approach efficiently merges multiple sorted lists with a time complexity of O(N log k), where N is the total number of elements and k is the number of lists.

llama3.1-70B-Instruct

import heapq

def merge_sorted_list(*args):
return list(heapq.merge(*args))

llama3.1-405B-Instruct

import heapq as hq

def merge_sorted_list(*args):
merged_list = []
heap = [(lst[0], i, 0) for i, lst in enumerate(args) if lst]
hq.heapify(heap)

while heap:
val, list_ind, element_ind = hq.heappop(heap)
merged_list.append(val)

if element_ind + 1 < len(args[list_ind]):
next_tuple = (args[list_ind][element_ind + 1], list_ind, element_ind + 1)
hq.heappush(heap, next_tuple)
return merged_list

DeepSeek-Coder-V2

Qwen2-72B-Instruct

'import heapq as hq

def merge_sorted_list(*args):
merged_list = hq.merge(*args)
return list(merged_list)'
[DONE]

baichuan4

To merge multiple sorted inputs into a single sorted iterator using the heap queue algorithm in Python, you can use the `heapq` module. Below is a function that takes a variable number of sorted lists as input and returns a single sorted list:

```python
import heapq

def merge_sorted_list(*args):
# Create a min-heap with the first element of each list
min_heap = [(lst[0], i, 0) for i, lst in enumerate(args) if lst]
heapq.heapify(min_heap)

result = []

while min_heap:
val, list_idx, element_idx = heapq.heappop(min_heap)
result.append(val)

# If there are more elements in the current list, push the next element onto the heap
if element_idx + 1 < len(args[list_idx]):
next_tuple = (args[list_idx][element_idx + 1], list_idx, element_idx + 1)
heapq.heappush(min_heap, next_tuple)

return result

# Tests
assert merge_sorted_list([25, 24, 15, 4, 5, 29, 110],[19, 20, 11, 56, 25, 233, 154],[24, 26, 54, 48]) == [4, 5, 11, 15, 19, 20, 24, 24, 25, 25, 26, 29, 48, 54, 56, 110, 154, 233]
assert merge_sorted_list([1, 3, 5, 6, 8, 9], [2, 5, 7, 11], [1, 4, 7, 8, 12]) == [1, 1, 2, 3, 4, 5, 5, 6, 7, 7, 8, 8, 9, 11, 12]
assert merge_sorted_list([18, 14, 10, 9, 8, 7, 9, 3, 2, 4, 1],[25, 35, 22, 85, 14, 65, 75, 25, 58],[12, 74, 9, 50, 61, 41]) == [1, 2, 3, 4, 7, 8, 9, 9, 9, 10, 12, 14, 14, 18, 22, 25, 25, 35, 41, 50, 58, 61, 65, 74, 75, 85]
```

This function first creates a min-heap using the first element of each input list (if the list is not empty). Each entry in the heap is a tuple containing the value, the index of the list it came from, and the index of the element within that list.

As we pop elements from the heap, we add them to the result list. If there are more elements in the list that the popped element came from, we push the next element from that list onto the heap. This way, the smallest elements from all the lists are always at the top of the heap, and we can merge the lists in a sorted manner.

doubao

import heapq as hq

def merge_sorted_list(lists):
merged = []
heap = []
for i, l in enumerate(lists):
hq.heappush(heap, (l[0], i, 0))
while heap:
value, list_index, element_index = hq.heappop(heap)
merged.append(value)
if element_index + 1 < len(lists[list_index]):
hq.heappush(heap, (lists[list_index][element_index + 1], list_index, element_index + 1))
return merged
[DONE]

failed
测试用例：assert merge_sorted_list([25, 24, 15, 4, 5, 29, 110],[19, 20, 11, 56, 25, 233, 154],[24, 26, 54, 48])==[4, 5, 11, 15, 19, 20, 24, 24, 25, 25, 26, 29, 48, 54, 56, 110, 154, 233]
assert merge_sorted_list([1, 3, 5, 6, 8, 9], [2, 5, 7, 11], [1, 4, 7, 8, 12])==[1, 1, 2, 3, 4, 5, 5, 6, 7, 7, 8, 8, 9, 11, 12]
assert merge_sorted_list([18, 14, 10, 9, 8, 7, 9, 3, 2, 4, 1],[25, 35, 22, 85, 14, 65, 75, 25, 58],[12, 74, 9, 50, 61, 41])==[1, 2, 3, 4, 7, 8, 9, 9, 9, 10, 12, 14, 14, 18, 22, 25, 25, 35, 41, 50, 58, 61, 65, 74, 75, 85]

minimax

```python
import heapq

def merge_sorted_list(*args):
# Create a heap from the first element of each list
heap = [(lst[0], i, 0) for i, lst in enumerate(args) if lst]
heapq.heapify(heap)

merged_list = []
while heap:
val, i, j = heapq.heappop(heap)
merged_list.append(val)
if j + 1 < len(args[i]):
next_val = args[i][j + 1]
heapq.heappush(heap, (next_val, i, j + 1))

return merged_list

# Test cases
assert merge_sorted_list([25, 24, 15, 4, 5, 29, 110], [19, 20, 11, 56, 25, 233, 154], [24, 26, 54, 48]) == [4, 5, 11, 15, 19, 20, 24, 24, 25, 25, 26, 29, 48, 54, 56, 110, 154, 233]
assert merge_sorted_list([1, 3, 5, 6, 8, 9], [2, 5, 7, 11], [1, 4, 7, 8, 12]) == [1, 1, 2, 3, 4, 5, 5, 6, 7, 7, 8, 8, 9, 9, 11, 12]
assert merge_sorted_list([18, 14, 10, 9, 8, 7, 9, 3, 2, 4, 1], [25, 35, 22, 85, 14, 65, 75, 25, 58], [12, 74, 9, 50, 61, 41]) == [1, 2, 3, 4, 7, 8, 9, 9, 9, 10, 12, 14, 14, 18, 22, 25, 25, 35, 41, 50, 58, 61, 65, 74, 75, 85]
```

This function `merge_sorted_list` takes multiple sorted lists as arguments and merges them into a single sorted list using the heap queue algorithm. The test cases provided are used to verify that the function works as expected.

kimi

Certainly! Below are the Python functions that fulfill the tasks you've described:

1. Function to find similar elements from two tuple lists:

```python
def similar_elements(test_tup1, test_tup2):
res = tuple(sorted(set(test_tup1) & set(test_tup2)))
return res
```

2. Function to 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
```

3. Function to find the largest integers from a given list of numbers using heap queue algorithm:

```python
import heapq

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

4. Function to merge multiple sorted inputs into a single sorted iterator using heap queue algorithm:

```python
import heapq

def merge_sorted_list(*sorted_lists):
# Create a heap queue with the first element of each list
heap = []
for lst in sorted_lists:
if lst: # Check if the list is not empty
heapq.heappush(heap, (lst[0], 0, lst))

merged_list = []
while heap:
value, index, lst = heapq.heappop(heap)
merged_list.append(value)
if index + 1 < len(lst):
heapq.heappush(heap, (lst[index + 1], index + 1, lst))

return merged_list
```

These functions should pass the tests you've provided.

wenxinyiyan

To solve the task of merging multiple sorted inputs into a single sorted iterator using the heap queue algorithm, you can use the `heapq` module in Python. Here's the implementation of the `merge_sorted_list` function:

```python
import heapq

def merge_sorted_list(*sorted_lists):
# Create a min heap and push the first element of each list with its index
heap = []
for i, lst in enumerate(sorted_lists):
if lst: # Check if the list is not empty
heapq.heappush(heap, (lst[0], i, 0)) # Push (value, list_index, element_index)

# Initialize the merged sorted list
merged = []

# Pop elements from the heap until it's empty
while heap:
val, list_index, element_index = heapq.heappop(heap)
merged.append(val) # Append the popped value to the merged list

# If there are more elements in the list, push the next element to the heap
next_index = element_index + 1
if next_index < len(sorted_lists[list_index]):
next_val = sorted_lists[list_index][next_index]
heapq.heappush(heap, (next_val, list_index, next_index))

return merged
```
Now, let's test the function with the provided test cases:

```python
assert merge_sorted_list([25, 24, 15, 4, 5, 29, 110], [19, 20, 11, 56, 25, 233, 154], [24, 26, 54, 48]) == [4, 5, 11, 15, 19, 20, 24, 24, 25, 25, 26, 29, 48, 54, 56, 110, 154, 233]
assert merge_sorted_list([1, 3, 5, 6, 8, 9], [2, 5, 7, 11], [1, 4, 7, 8, 12]) == [1, 1, 2, 3, 4, 5, 5, 6, 7, 7, 8, 8, 9, 11, 12]
assert merge_sorted_list([18, 14, 10, 9, 8, 7, 9, 3, 2, 4, 1], [25, 35, 22, 85, 14, 65, 75, 25, 58], [12, 74, 9, 50, 61, 41]) == [1, 2, 3, 4, 7, 8, 9, 9, 9, 10, 12, 14, 14, 18, 22, 25, 25, 35, 41, 50, 58, 61, 65, 74, 75, 85]
```
All the tests should pass, indicating that the function works correctly.

zhipu

To merge multiple sorted lists into a single sorted iterator using the heap queue algorithm, we can use the `heapq.merge` function, which takes multiple inputs and returns a single iterator that produces the merged output in sorted order.

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

```python
import heapq

def merge_sorted_list(*sorted_lists):
return list(heapq.merge(*sorted_lists))

# Test cases
assert merge_sorted_list([25, 24, 15, 4, 5, 29, 110], [19, 20, 11, 56, 25, 233, 154], [24, 26, 54, 48]) == [4, 5, 11, 15, 19, 20, 24, 24, 25, 25, 26, 29, 48, 54, 56, 110, 154, 233]
assert merge_sorted_list([1, 3, 5, 6, 8, 9], [2, 5, 7, 11], [1, 4, 7, 8, 12]) == [1, 1, 2, 3, 4, 5, 5, 6, 7, 7, 8, 8, 9, 11, 12]
assert merge_sorted_list([18, 14, 10, 9, 8, 7, 9, 3, 2, 4, 1], [25, 35, 22, 85, 14, 65, 75, 25, 58], [12, 74, 9, 50, 61, 41]) == [1, 2, 3, 4, 7, 8, 9, 9, 9, 10, 12, 14, 14, 18, 22, 25, 25, 35, 41, 50, 58, 61, 65, 74, 75, 85]

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

### Explanation:
1. **Function Definition**: The function `merge_sorted_list` takes multiple sorted lists as arguments using the `*sorted_lists` syntax, which collects all positional arguments into a tuple.
2. **Heapq Merge**: The `heapq.merge` function is used to merge all the sorted lists. This function returns an iterator that produces the merged output in sorted order.
3. **Return List**: The iterator is converted to a list before returning to match the expected output format in the test cases.

### Test Cases:
- The test cases are provided to ensure the function works correctly for different sets of sorted lists.
- Each test case asserts that the function's output matches the expected sorted merged list.

This implementation should pass all the given test cases.

gpto1

```python
import heapq
def merge_sorted_list(*lists):
sorted_lists = [sorted(lst) for lst in lists]
return list(heapq.merge(*sorted_lists))
```

deepseekv3

To solve the task of merging multiple sorted inputs into a single sorted iterator using the heap queue algorithm, we can use the `heapq.merge` function, which is specifically designed for this purpose. Here's the implementation:

```python
import heapq

def merge_sorted_list(*lists):
# Merge all sorted lists using heapq.merge
merged = heapq.merge(*lists)
# Convert the iterator to a list and return it
return list(merged)

# Test cases
assert merge_sorted_list([25, 24, 15, 4, 5, 29, 110],[19, 20, 11, 56, 25, 233, 154],[24, 26, 54, 48])==[4, 5, 11, 15, 19, 20, 24, 24, 25, 25, 26, 29, 48, 54, 56, 110, 154, 233]
assert merge_sorted_list([1, 3, 5, 6, 8, 9], [2, 5, 7, 11], [1, 4, 7, 8, 12])==[1, 1, 2, 3, 4, 5, 5, 6, 7, 7, 8, 8, 9, 11, 12]
assert merge_sorted_list([18, 14, 10, 9, 8, 7, 9, 3, 2, 4, 1],[25, 35, 22, 85, 14, 65, 75, 25, 58],[12, 74, 9, 50, 61, 41])==[1, 2, 3, 4, 7, 8, 9, 9, 9, 10, 12, 14, 14, 18, 22, 25, 25, 35, 41, 50, 58, 61, 65, 74, 75, 85]
```

### Explanation:
1. **`heapq.merge`**: This function takes multiple sorted iterables and returns a single iterator that yields all the items from the input iterables in sorted order.
2. **`*lists`**: The `*` operator is used to unpack the list of input lists, allowing `heapq.merge` to handle multiple inputs.
3. **Conversion to List**: Since `heapq.merge` returns an iterator, we convert it to a list before returning it.

This approach is efficient and leverages the strengths of the `heapq` module to merge sorted lists seamlessly.