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leetcode-problemset/leetcode/originData/maximum-difference-between-increasing-elements.json

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{
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"title": "Maximum Difference Between Increasing Elements",
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"content": "<p>Given a <strong>0-indexed</strong> integer array <code>nums</code> of size <code>n</code>, find the <strong>maximum difference</strong> between <code>nums[i]</code> and <code>nums[j]</code> (i.e., <code>nums[j] - nums[i]</code>), such that <code>0 &lt;= i &lt; j &lt; n</code> and <code>nums[i] &lt; nums[j]</code>.</p>\n\n<p>Return <em>the <strong>maximum difference</strong>. </em>If no such <code>i</code> and <code>j</code> exists, return <code>-1</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [7,<strong><u>1</u></strong>,<strong><u>5</u></strong>,4]\n<strong>Output:</strong> 4\n<strong>Explanation:</strong>\nThe maximum difference occurs with i = 1 and j = 2, nums[j] - nums[i] = 5 - 1 = 4.\nNote that with i = 1 and j = 0, the difference nums[j] - nums[i] = 7 - 1 = 6, but i &gt; j, so it is not valid.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [9,4,3,2]\n<strong>Output:</strong> -1\n<strong>Explanation:</strong>\nThere is no i and j such that i &lt; j and nums[i] &lt; nums[j].\n</pre>\n\n<p><strong>Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [<strong><u>1</u></strong>,5,2,<strong><u>10</u></strong>]\n<strong>Output:</strong> 9\n<strong>Explanation:</strong>\nThe maximum difference occurs with i = 0 and j = 3, nums[j] - nums[i] = 10 - 1 = 9.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>n == nums.length</code></li>\n\t<li><code>2 &lt;= n &lt;= 1000</code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
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"hints": [
"Could you keep track of the minimum element visited while traversing?",
"We have a potential candidate for the answer if the prefix min is lesser than nums[i]."
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