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44 lines
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44 lines
2.1 KiB
HTML
<p>You are given a <strong>0-indexed</strong> array of <strong>positive</strong> integers <code>nums</code>.</p>
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<p>A subarray of <code>nums</code> is called <strong>incremovable</strong> if <code>nums</code> becomes <strong>strictly increasing</strong> on removing the subarray. For example, the subarray <code>[3, 4]</code> is an incremovable subarray of <code>[5, 3, 4, 6, 7]</code> because removing this subarray changes the array <code>[5, 3, 4, 6, 7]</code> to <code>[5, 6, 7]</code> which is strictly increasing.</p>
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<p>Return <em>the total number of <strong>incremovable</strong> subarrays of</em> <code>nums</code>.</p>
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<p><strong>Note</strong> that an empty array is considered strictly increasing.</p>
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<p>A <strong>subarray</strong> is a contiguous non-empty sequence of elements within an array.</p>
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<p> </p>
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<p><strong class="example">Example 1:</strong></p>
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<pre>
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<strong>Input:</strong> nums = [1,2,3,4]
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<strong>Output:</strong> 10
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<strong>Explanation:</strong> The 10 incremovable subarrays are: [1], [2], [3], [4], [1,2], [2,3], [3,4], [1,2,3], [2,3,4], and [1,2,3,4], because on removing any one of these subarrays nums becomes strictly increasing. Note that you cannot select an empty subarray.
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</pre>
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<p><strong class="example">Example 2:</strong></p>
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<pre>
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<strong>Input:</strong> nums = [6,5,7,8]
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<strong>Output:</strong> 7
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<strong>Explanation:</strong> The 7 incremovable subarrays are: [5], [6], [5,7], [6,5], [5,7,8], [6,5,7] and [6,5,7,8].
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It can be shown that there are only 7 incremovable subarrays in nums.
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</pre>
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<p><strong class="example">Example 3:</strong></p>
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<pre>
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<strong>Input:</strong> nums = [8,7,6,6]
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<strong>Output:</strong> 3
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<strong>Explanation:</strong> The 3 incremovable subarrays are: [8,7,6], [7,6,6], and [8,7,6,6]. Note that [8,7] is not an incremovable subarray because after removing [8,7] nums becomes [6,6], which is sorted in ascending order but not strictly increasing.
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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 <= 10<sup>5</sup></code></li>
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<li><code>1 <= nums[i] <= 10<sup>9</sup></code></li>
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</ul>
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