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leetcode-problemset/leetcode/originData/subarray-with-elements-greater-than-varying-threshold.json
2022-07-12 21:08:31 +08:00

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{
"data": {
"question": {
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"title": "Subarray With Elements Greater Than Varying Threshold",
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"content": "<p>You are given an integer array <code>nums</code> and an integer <code>threshold</code>.</p>\n\n<p>Find any subarray of <code>nums</code> of length <code>k</code> such that <strong>every</strong> element in the subarray is <strong>greater</strong> than <code>threshold / k</code>.</p>\n\n<p>Return<em> the <strong>size</strong> of <strong>any</strong> such subarray</em>. If there is no such subarray, return <code>-1</code>.</p>\n\n<p>A <strong>subarray</strong> is a contiguous non-empty sequence of elements within an array.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [1,3,4,3,1], threshold = 6\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> The subarray [3,4,3] has a size of 3, and every element is greater than 6 / 3 = 2.\nNote that this is the only valid subarray.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [6,5,6,5,8], threshold = 7\n<strong>Output:</strong> 1\n<strong>Explanation:</strong> The subarray [8] has a size of 1, and 8 &gt; 7 / 1 = 7. So 1 is returned.\nNote that the subarray [6,5] has a size of 2, and every element is greater than 7 / 2 = 3.5. \nSimilarly, the subarrays [6,5,6], [6,5,6,5], [6,5,6,5,8] also satisfy the given conditions.\nTherefore, 2, 3, 4, or 5 may also be returned.</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= nums.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= nums[i], threshold &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
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"hints": [
"For all elements to be greater than the threshold/length, the minimum element in the subarray must be greater than the threshold/length.",
"For a given index, could you find the largest subarray such that the given index is the minimum element?",
"Could you use a monotonic stack to get the next and previous smallest element for every index?"
],
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