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43 lines
1.6 KiB
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43 lines
1.6 KiB
HTML
<p>You are given an integer array <code>nums</code> and an integer <code>goal</code>.</p>
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<p>You want to choose a subsequence of <code>nums</code> such that the sum of its elements is the closest possible to <code>goal</code>. That is, if the sum of the subsequence's elements is <code>sum</code>, then you want to <strong>minimize the absolute difference</strong> <code>abs(sum - goal)</code>.</p>
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<p>Return <em>the <strong>minimum</strong> possible value of</em> <code>abs(sum - goal)</code>.</p>
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<p>Note that a subsequence of an array is an array formed by removing some elements <strong>(possibly all or none)</strong> of the original array.</p>
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<p> </p>
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<p><strong>Example 1:</strong></p>
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<pre>
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<strong>Input:</strong> nums = [5,-7,3,5], goal = 6
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<strong>Output:</strong> 0
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<strong>Explanation:</strong> Choose the whole array as a subsequence, with a sum of 6.
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This is equal to the goal, so the absolute difference is 0.
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</pre>
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<p><strong>Example 2:</strong></p>
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<pre>
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<strong>Input:</strong> nums = [7,-9,15,-2], goal = -5
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<strong>Output:</strong> 1
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<strong>Explanation:</strong> Choose the subsequence [7,-9,-2], with a sum of -4.
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The absolute difference is abs(-4 - (-5)) = abs(1) = 1, which is the minimum.
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</pre>
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<p><strong>Example 3:</strong></p>
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<pre>
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<strong>Input:</strong> nums = [1,2,3], goal = -7
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<strong>Output:</strong> 7
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</pre>
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<p> </p>
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<p><strong>Constraints:</strong></p>
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<ul>
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<li><code>1 <= nums.length <= 40</code></li>
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<li><code>-10<sup>7</sup> <= nums[i] <= 10<sup>7</sup></code></li>
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<li><code>-10<sup>9</sup> <= goal <= 10<sup>9</sup></code></li>
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</ul>
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