问题

### Instructions: You are an expert Python programmer. You will be given a question (problem specification) and will generate a correct Python program that matches the specification and passes all tests. You will NOT return anything except for the program.
### Question:
You are given a 0-indexed integer array nums. A pair of integers x and y is called a strong pair if it satisfies the condition:

|x - y| <= min(x, y)

You need to select two integers from nums such that they form a strong pair and their bitwise XOR is the maximum among all strong pairs in the array.
Return the maximum XOR value out of all possible strong pairs in the array nums.
Note that you can pick the same integer twice to form a pair.

Example 1:

Input: nums = [1,2,3,4,5]
Output: 7
Explanation: There are 11 strong pairs in the array nums: (1, 1), (1, 2), (2, 2), (2, 3), (2, 4), (3, 3), (3, 4), (3, 5), (4, 4), (4, 5) and (5, 5).
The maximum XOR possible from these pairs is 3 XOR 4 = 7.

Example 2:

Input: nums = [10,100]
Output: 0
Explanation: There are 2 strong pairs in the array nums: (10, 10) and (100, 100).
The maximum XOR possible from these pairs is 10 XOR 10 = 0 since the pair (100, 100) also gives 100 XOR 100 = 0.

Example 3:

Input: nums = [5,6,25,30]
Output: 7
Explanation: There are 6 strong pairs in the array nums: (5, 5), (5, 6), (6, 6), (25, 25), (25, 30) and (30, 30).
The maximum XOR possible from these pairs is 25 XOR 30 = 7 since the only other non-zero XOR value is 5 XOR 6 = 3.


Constraints:

1 <= nums.length <= 50
1 <= nums[i] <= 100

### Format: You will use the following starter code to write the solution to the problem and enclose your code within delimiters.
```python
class Solution:
def maximumStrongPairXor(self, nums: List[int]) -> int:

```

### Answer: (use the provided format with backticks)

答案

模型 模型答案 正确答案
金声玉亮2.0 ```python
class Solution:
def maximumStrongPairXor(self, nums: List[int]) -> int:
max_xor = 0
n = len(nums)

for i in range(n):
for j in range(i, n):
x, y = nums[i], nums[j]
if abs(x - y) <= min(x, y):
max_xor = max(max_xor, x ^ y)

return max_xor
```		 [{"input": "[1, 2, 3, 4, 5]", "output": "7", "testtype": "functional"}, {"input": "[10, 100]", "output": "0", "testtype": "functional"}, {"input": "[5, 6, 25, 30]", "output": "7", "testtype": "functional"}]
deepseek-r1

```python
from typing import List

class Solution:
def maximumStrongPairXor(self, nums: List[int]) -> int:
max_xor = 0
n = len(nums)
for i in range(n):
for j in range(n):
x, y = nums[i], nums[j]
if abs(x - y) <= min(x, y):
current_xor = x ^ y
if current_xor > max_xor:
max_xor = current_xor
return max_xor
```		 [{"input": "[1, 2, 3, 4, 5]", "output": "7", "testtype": "functional"}, {"input": "[10, 100]", "output": "0", "testtype": "functional"}, {"input": "[5, 6, 25, 30]", "output": "7", "testtype": "functional"}]
gpto1 ```python
class Solution:
def maximumStrongPairXor(self, nums: List[int]) -> int:
max_xor = 0
n = len(nums)
for i in range(n):
for j in range(n):
x = nums[i]
y = nums[j]
if abs(x - y) <= min(x, y):
xor_value = x ^ y
if xor_value > max_xor:
max_xor = xor_value
return max_xor
```		 [{"input": "[1, 2, 3, 4, 5]", "output": "7", "testtype": "functional"}, {"input": "[10, 100]", "output": "0", "testtype": "functional"}, {"input": "[5, 6, 25, 30]", "output": "7", "testtype": "functional"}]
gpt-4o-2024-08-06 ```python
class Solution:
def maximumStrongPairXor(self, nums: List[int]) -> int:
max_xor = 0
n = len(nums)

for i in range(n):
for j in range(i, n):
x, y = nums[i], nums[j]
if abs(x - y) <= min(x, y):
max_xor = max(max_xor, x ^ y)

return max_xor
```		 [{"input": "[1, 2, 3, 4, 5]", "output": "7", "testtype": "functional"}, {"input": "[10, 100]", "output": "0", "testtype": "functional"}, {"input": "[5, 6, 25, 30]", "output": "7", "testtype": "functional"}]
DeepSeek-Coder-V2-Lite-Instruct ```python
from typing import List

class Solution:
def maximumStrongPairXor(self, nums: List[int]) -> int:
max_xor = 0
for i in range(len(nums)):
for j in range(len(nums)):
if abs(nums[i] - nums[j]) <= min(nums[i], nums[j]):
max_xor = max(max_xor, nums[i] ^ nums[j])
return max_xor
```		 [{"input": "[1, 2, 3, 4, 5]", "output": "7", "testtype": "functional"}, {"input": "[10, 100]", "output": "0", "testtype": "functional"}, {"input": "[5, 6, 25, 30]", "output": "7", "testtype": "functional"}]
Meta-Llama-3.1-405B-Instruct-Turbo ```python
from typing import List

class Solution:
def maximumStrongPairXor(self, nums: List[int]) -> int:
max_xor = 0
for i in range(len(nums)):
for j in range(i, len(nums)):
if abs(nums[i] - nums[j]) <= min(nums[i], nums[j]):
max_xor = max(max_xor, nums[i] ^ nums[j])
return max_xor
```		 [{"input": "[1, 2, 3, 4, 5]", "output": "7", "testtype": "functional"}, {"input": "[10, 100]", "output": "0", "testtype": "functional"}, {"input": "[5, 6, 25, 30]", "output": "7", "testtype": "functional"}]
Meta-Llama-3.1-70B-Instruct-Turbo ```python
class Solution:
def maximumStrongPairXor(self, nums: List[int]) -> int:
max_xor = 0
for i in range(len(nums)):
for j in range(len(nums)):
if abs(nums[i] - nums[j]) <= min(nums[i], nums[j]):
max_xor = max(max_xor, nums[i] ^ nums[j])
return max_xor
```		 [{"input": "[1, 2, 3, 4, 5]", "output": "7", "testtype": "functional"}, {"input": "[10, 100]", "output": "0", "testtype": "functional"}, {"input": "[5, 6, 25, 30]", "output": "7", "testtype": "functional"}]
Qwen2-72B-Instruct ```python
class Solution:
def maximumStrongPairXor(self, nums: List[int]) -> int:
n = len(nums)
nums.sort()
max_xor = 0

for i in range(n):
low, high = i, n-1
while low <= high:
mid = (low + high) // 2
if nums[mid] <= 2*nums[i]:
high = mid - 1
else:
low = mid + 1

for j in range(i, min(high+2, n)):
if abs(nums[i] - nums[j]) <= min(nums[i], nums[j]):
max_xor = max(max_xor, nums[i] ^ nums[j])

return max_xor
```		 [{"input": "[1, 2, 3, 4, 5]", "output": "7", "testtype": "functional"}, {"input": "[10, 100]", "output": "0", "testtype": "functional"}, {"input": "[5, 6, 25, 30]", "output": "7", "testtype": "functional"}]
baichuan4 ```python
class Solution:
def maximumStrongPairXor(self, nums: List[int]) -> int:
# Sort the array to make sure we can easily find strong pairs
nums.sort()
max_xor = 0

# Iterate through the sorted array to find strong pairs
for i in range(len(nums)):
for j in range(i, len(nums)):
# Check if the pair (nums[i], nums[j]) is a strong pair
if abs(nums[i] - nums[j]) <= min(nums[i], nums[j]):
# Calculate the XOR of the strong pair and update max_xor if necessary
max_xor = max(max_xor, nums[i] ^ nums[j])

return max_xor
```		 [{"input": "[1, 2, 3, 4, 5]", "output": "7", "testtype": "functional"}, {"input": "[10, 100]", "output": "0", "testtype": "functional"}, {"input": "[5, 6, 25, 30]", "output": "7", "testtype": "functional"}]
doubao ```python
class Solution:
def maximumStrongPairXor(self, nums: List[int]) -> int:
max_xor = 0
for i in range(len(nums)):
for j in range(len(nums)):
if abs(nums[i] - nums[j]) <= min(nums[i], nums[j]):
max_xor = max(max_xor, nums[i] ^ nums[j])
return max_xor
```		 [{"input": "[1, 2, 3, 4, 5]", "output": "7", "testtype": "functional"}, {"input": "[10, 100]", "output": "0", "testtype": "functional"}, {"input": "[5, 6, 25, 30]", "output": "7", "testtype": "functional"}]
gpto1 ```python
class Solution:
def maximumStrongPairXor(self, nums: List[int]) -> int:
max_xor = 0
n = len(nums)
for i in range(n):
for j in range(n):
x = nums[i]
y = nums[j]
if abs(x - y) <= min(x, y):
xor_value = x ^ y
if xor_value > max_xor:
max_xor = xor_value
return max_xor
```		 [{"input": "[1, 2, 3, 4, 5]", "output": "7", "testtype": "functional"}, {"input": "[10, 100]", "output": "0", "testtype": "functional"}, {"input": "[5, 6, 25, 30]", "output": "7", "testtype": "functional"}]
kimi ```python
class Solution:

def maximumStrongPairXor(self, nums: List[int]) -> int:
n = len(nums)
ans = 0
for i in range(n):
for j in range(i, n):
if abs(nums[i] - nums[j]) <= min(nums[i], nums[j]):
ans = max(ans, nums[i] ^ nums[j])
return ans
```		 [{"input": "[1, 2, 3, 4, 5]", "output": "7", "testtype": "functional"}, {"input": "[10, 100]", "output": "0", "testtype": "functional"}, {"input": "[5, 6, 25, 30]", "output": "7", "testtype": "functional"}]
minimax ```python
from typing import List

class Solution:
def maximumStrongPairXor(self, nums: List[int]) -> int:
# Initialize the maximum XOR value to 0
max_xor = 0

# Iterate through all pairs of numbers in nums
for i in range(len(nums)):
for j in range(i, len(nums)):
# Calculate the XOR of the current pair
xor_value = nums[i] ^ nums[j]

# Check if the current pair is a strong pair
if abs(nums[i] - nums[j]) <= min(nums[i], nums[j]):
# Update the maximum XOR value if the current XOR is greater
max_xor = max(max_xor, xor_value)

return max_xor

# Example usage:
# sol = Solution()
# print(sol.maximumStrongPairXor([1,2,3,4,5])) # Output: 7
# print(sol.maximumStrongPairXor([10,100])) # Output: 0
# print(sol.maximumStrongPairXor([5,6,25,30])) # Output: 7
```		 [{"input": "[1, 2, 3, 4, 5]", "output": "7", "testtype": "functional"}, {"input": "[10, 100]", "output": "0", "testtype": "functional"}, {"input": "[5, 6, 25, 30]", "output": "7", "testtype": "functional"}]
wenxinyiyan ```python
from typing import List

class Solution:
def maximumStrongPairXor(self, nums: List[int]) -> int:
max_xor = 0
n = len(nums)

for i in range(n):
for j in range(n):
x = nums[i]
y = nums[j]

# Check if (x, y) forms a strong pair
if abs(x - y) <= min(x, y):
# Calculate XOR and update max_xor if necessary
pair_xor = x ^ y
max_xor = max(max_xor, pair_xor)

return max_xor
```
This solution uses a nested loop to iterate through all possible pairs of integers in the `nums` list. For each pair, it checks if the pair forms a strong pair by verifying the condition `|x - y| <= min(x, y)`. If the pair is strong, it calculates the bitwise XOR of the two integers and updates `max_xor` if the current XOR value is greater than the previous maximum. Finally, it returns the maximum XOR value found.

Note: Although this solution is correct, it has a time complexity of O(n^2) due to the nested loops. Given the small constraints of the problem (`nums.length <= 50`), this solution is acceptable. However, for larger inputs, a more efficient algorithm would be needed.		 [{"input": "[1, 2, 3, 4, 5]", "output": "7", "testtype": "functional"}, {"input": "[10, 100]", "output": "0", "testtype": "functional"}, {"input": "[5, 6, 25, 30]", "output": "7", "testtype": "functional"}]
zhipu ```python
from typing import List

class Solution:
def maximumStrongPairXor(self, nums: List[int]) -> int:
max_xor = 0
n = len(nums)

for i in range(n):
for j in range(n):
x, y = nums[i], nums[j]
if abs(x - y) <= min(x, y):
max_xor = max(max_xor, x ^ y)

return max_xor
```		 [{"input": "[1, 2, 3, 4, 5]", "output": "7", "testtype": "functional"}, {"input": "[10, 100]", "output": "0", "testtype": "functional"}, {"input": "[5, 6, 25, 30]", "output": "7", "testtype": "functional"}]
deepseek-v3 ```python
class Solution:
def maximumStrongPairXor(self, nums: List[int]) -> int:
max_xor = 0
n = len(nums)
for i in range(n):
for j in range(i, n):
x = nums[i]
y = nums[j]
if abs(x - y) <= min(x, y):
current_xor = x ^ y
if current_xor > max_xor:
max_xor = current_xor
return max_xor
```		 [{"input": "[1, 2, 3, 4, 5]", "output": "7", "testtype": "functional"}, {"input": "[10, 100]", "output": "0", "testtype": "functional"}, {"input": "[5, 6, 25, 30]", "output": "7", "testtype": "functional"}]