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"question": {
"questionId": "2766",
"questionFrontendId": "2657",
"categoryTitle": "Algorithms",
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"title": "Find the Prefix Common Array of Two Arrays",
"titleSlug": "find-the-prefix-common-array-of-two-arrays",
"content": "<p>You are given two <strong>0-indexed </strong>integer<strong> </strong>permutations <code>A</code> and <code>B</code> of length <code>n</code>.</p>\n\n<p>A <strong>prefix common array</strong> of <code>A</code> and <code>B</code> is an array <code>C</code> such that <code>C[i]</code> is equal to the count of numbers that are present at or before the index <code>i</code> in both <code>A</code> and <code>B</code>.</p>\n\n<p>Return <em>the <strong>prefix common array</strong> of </em><code>A</code><em> and </em><code>B</code>.</p>\n\n<p>A sequence of <code>n</code> integers is called a&nbsp;<strong>permutation</strong> if it contains all integers from <code>1</code> to <code>n</code> exactly once.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> A = [1,3,2,4], B = [3,1,2,4]\n<strong>Output:</strong> [0,2,3,4]\n<strong>Explanation:</strong> At i = 0: no number is common, so C[0] = 0.\nAt i = 1: 1 and 3 are common in A and B, so C[1] = 2.\nAt i = 2: 1, 2, and 3 are common in A and B, so C[2] = 3.\nAt i = 3: 1, 2, 3, and 4 are common in A and B, so C[3] = 4.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> A = [2,3,1], B = [3,1,2]\n<strong>Output:</strong> [0,1,3]\n<strong>Explanation:</strong> At i = 0: no number is common, so C[0] = 0.\nAt i = 1: only 3 is common in A and B, so C[1] = 1.\nAt i = 2: 1, 2, and 3 are common in A and B, so C[2] = 3.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= A.length == B.length == n &lt;= 50</code></li>\n\t<li><code>1 &lt;= A[i], B[i] &lt;= n</code></li>\n\t<li><code>It is guaranteed that A and B are both a permutation of n integers.</code></li>\n</ul>\n",
"translatedTitle": "找到两个数组的前缀公共数组",
"translatedContent": "<p>给你两个下标从 <strong>0</strong>&nbsp;开始长度为 <code>n</code>&nbsp;的整数排列&nbsp;<code>A</code> 和&nbsp;<code>B</code>&nbsp;。</p>\n\n<p><code>A</code>&nbsp;和&nbsp;<code>B</code>&nbsp;的 <strong>前缀公共数组</strong>&nbsp;定义为数组&nbsp;<code>C</code>&nbsp;,其中&nbsp;<code>C[i]</code>&nbsp;是数组&nbsp;<code>A</code> 和&nbsp;<code>B</code>&nbsp;到下标为&nbsp;<code>i</code>&nbsp;之前公共元素的数目。</p>\n\n<p>请你返回 <code>A</code>&nbsp;和 <code>B</code>&nbsp;的 <strong>前缀公共数组</strong>&nbsp;。</p>\n\n<p>如果一个长度为 <code>n</code>&nbsp;的数组包含 <code>1</code>&nbsp;到 <code>n</code>&nbsp;的元素恰好一次,我们称这个数组是一个长度为 <code>n</code>&nbsp;的 <strong>排列</strong>&nbsp;。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre><b>输入:</b>A = [1,3,2,4], B = [3,1,2,4]\n<b>输出:</b>[0,2,3,4]\n<b>解释:</b>i = 0没有公共元素所以 C[0] = 0 。\ni = 11 和 3 是两个数组的前缀公共元素,所以 C[1] = 2 。\ni = 212 和 3 是两个数组的前缀公共元素,所以 C[2] = 3 。\ni = 3123 和 4 是两个数组的前缀公共元素,所以 C[3] = 4 。\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre><b>输入:</b>A = [2,3,1], B = [3,1,2]\n<b>输出:</b>[0,1,3]\n<b>解释:</b>i = 0没有公共元素所以 C[0] = 0 。\ni = 1只有 3 是公共元素,所以 C[1] = 1 。\ni = 212 和 3 是两个数组的前缀公共元素,所以 C[2] = 3 。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= A.length == B.length == n &lt;= 50</code></li>\n\t<li><code>1 &lt;= A[i], B[i] &lt;= n</code></li>\n\t<li>题目保证&nbsp;<code>A</code>&nbsp;和&nbsp;<code>B</code>&nbsp;两个数组都是&nbsp;<code>n</code>&nbsp;个元素的排列。</li>\n</ul>\n",
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"Consider keeping a frequency array that stores the count of occurrences of each number till index i.",
"If a number occurred two times, it means it occurred in both A and B since theyre both permutations so add one to the answer."
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