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leetcode-problemset/leetcode/originData/maximum-distance-between-a-pair-of-values.json
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"title": "Maximum Distance Between a Pair of Values",
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"content": "<p>You are given two <strong>non-increasing 0-indexed </strong>integer arrays <code>nums1</code> and <code>nums2</code>.</p>\n\n<p>A pair of indices <code>(i, j)</code>, where <code>0 &lt;= i &lt; nums1.length</code> and <code>0 &lt;= j &lt; nums2.length</code>, is <strong>valid</strong> if both <code>i &lt;= j</code> and <code>nums1[i] &lt;= nums2[j]</code>. The <strong>distance</strong> of the pair is <code>j - i</code>.</p>\n\n<p>Return <em>the <strong>maximum distance</strong> of any <strong>valid</strong> pair </em><code>(i, j)</code><em>. If there are no valid pairs, return </em><code>0</code>.</p>\n\n<p>An array <code>arr</code> is <strong>non-increasing</strong> if <code>arr[i-1] &gt;= arr[i]</code> for every <code>1 &lt;= i &lt; arr.length</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums1 = [55,30,5,4,2], nums2 = [100,20,10,10,5]\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> The valid pairs are (0,0), (2,2), (2,3), (2,4), (3,3), (3,4), and (4,4).\nThe maximum distance is 2 with pair (2,4).\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums1 = [2,2,2], nums2 = [10,10,1]\n<strong>Output:</strong> 1\n<strong>Explanation:</strong> The valid pairs are (0,0), (0,1), and (1,1).\nThe maximum distance is 1 with pair (0,1).\n</pre>\n\n<p><strong>Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums1 = [30,29,19,5], nums2 = [25,25,25,25,25]\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> The valid pairs are (2,2), (2,3), (2,4), (3,3), and (3,4).\nThe maximum distance is 2 with pair (2,4).\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= nums1.length, nums2.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= nums1[i], nums2[j] &lt;= 10<sup>5</sup></code></li>\n\t<li>Both <code>nums1</code> and <code>nums2</code> are <strong>non-increasing</strong>.</li>\n</ul>\n",
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"hints": [
"Since both arrays are sorted in a non-increasing way this means that for each value in the first array. We can find the farthest value smaller than it using binary search.",
"There is another solution using a two pointers approach since the first array is non-increasing the farthest j such that nums2[j] ≥ nums1[i] is at least as far as the farthest j such that nums2[j] ≥ nums1[i-1]"
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