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42 lines
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42 lines
1.3 KiB
HTML
<p>Given a sorted integer array <code>nums</code> and an integer <code>n</code>, add/patch elements to the array such that any number in the range <code>[1, n]</code> inclusive can be formed by the sum of some elements in the array.</p>
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<p>Return <em>the minimum number of patches required</em>.</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 = [1,3], n = 6
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<strong>Output:</strong> 1
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Explanation:
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Combinations of nums are [1], [3], [1,3], which form possible sums of: 1, 3, 4.
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Now if we add/patch 2 to nums, the combinations are: [1], [2], [3], [1,3], [2,3], [1,2,3].
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Possible sums are 1, 2, 3, 4, 5, 6, which now covers the range [1, 6].
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So we only need 1 patch.
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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 = [1,5,10], n = 20
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<strong>Output:</strong> 2
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Explanation: The two patches can be [2, 4].
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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 = [1,2,2], n = 5
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<strong>Output:</strong> 0
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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 <= 1000</code></li>
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<li><code>1 <= nums[i] <= 10<sup>4</sup></code></li>
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<li><code>nums</code> is sorted in <strong>ascending order</strong>.</li>
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<li><code>1 <= n <= 2<sup>31</sup> - 1</code></li>
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</ul>
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