<p>You are given an integer array <code>nums</code> of <code>2 * n</code> integers. You need to partition <code>nums</code> into <strong>two</strong> arrays of length <code>n</code> to <strong>minimize the absolute difference</strong> of the <strong>sums</strong> of the arrays. To partition <code>nums</code>, put each element of <code>nums</code> into <strong>one</strong> of the two arrays.</p>

<p>Return <em>the <strong>minimum</strong> possible absolute difference</em>.</p>

<p>&nbsp;</p>
<p><strong class="example">Example 1:</strong></p>
<img alt="example-1" src="https://assets.leetcode.com/uploads/2021/10/02/ex1.png" style="width: 240px; height: 106px;" />
<pre>
<strong>Input:</strong> nums = [3,9,7,3]
<strong>Output:</strong> 2
<strong>Explanation:</strong> One optimal partition is: [3,9] and [7,3].
The absolute difference between the sums of the arrays is abs((3 + 9) - (7 + 3)) = 2.
</pre>

<p><strong class="example">Example 2:</strong></p>

<pre>
<strong>Input:</strong> nums = [-36,36]
<strong>Output:</strong> 72
<strong>Explanation:</strong> One optimal partition is: [-36] and [36].
The absolute difference between the sums of the arrays is abs((-36) - (36)) = 72.
</pre>

<p><strong class="example">Example 3:</strong></p>
<img alt="example-3" src="https://assets.leetcode.com/uploads/2021/10/02/ex3.png" style="width: 316px; height: 106px;" />
<pre>
<strong>Input:</strong> nums = [2,-1,0,4,-2,-9]
<strong>Output:</strong> 0
<strong>Explanation:</strong> One optimal partition is: [2,4,-9] and [-1,0,-2].
The absolute difference between the sums of the arrays is abs((2 + 4 + -9) - (-1 + 0 + -2)) = 0.
</pre>

<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>

<ul>
	<li><code>1 &lt;= n &lt;= 15</code></li>
	<li><code>nums.length == 2 * n</code></li>
	<li><code>-10<sup>7</sup> &lt;= nums[i] &lt;= 10<sup>7</sup></code></li>
</ul>

import sys
from bisect import bisect_left

class Solution:
    def minimumDifference(self, nums):
        n = len(nums) // 2
        left, right = nums[:n], nums[n:]
        
        def get_sums(arr):
            sums = []
            for k in range(n + 1):
                sums.append([sum(comb) for comb in combinations(arr, k)])
            return sums
        
        left_sums = get_sums(left)
        right_sums = get_sums(right)
        
        total = sum(nums)
        res = sys.maxsize
        
        for k in range(n + 1):
            left = left_sums[k]
            right = right_sums[n - k]
            right.sort()
            
            for l in left:
                target = (total // 2) - l
                i = bisect_left(right, target)
                
                if i < len(right):
                    diff = abs(total - 2 * (l + right[i]))
                    res = min(res, diff)
                
                if i > 0:
                    diff = abs(total - 2 * (l + right[i - 1]))
                    res = min(res, diff)
        
        return res

# 필요한 imports
from itertools import combinations

# Example usage:
sol = Solution()
print(sol.minimumDifference([3,9,7,3]))  # Output: 2
print(sol.minimumDifference([-36,36]))   # Output: 72
print(sol.minimumDifference([2,-1,0,4,-2,-9]))  # Output: 0
1699