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{
"data": {
"question": {
"questionId": "2779",
"questionFrontendId": "2672",
"categoryTitle": "Algorithms",
"boundTopicId": 2254952,
"title": "Number of Adjacent Elements With the Same Color",
"titleSlug": "number-of-adjacent-elements-with-the-same-color",
"content": "<p>You are given an integer <code>n</code> representing an array <code>colors</code> of length <code>n</code> where all elements are set to 0&#39;s meaning <strong>uncolored</strong>. You are also given a 2D integer array <code>queries</code> where <code>queries[i] = [index<sub>i</sub>, color<sub>i</sub>]</code>. For the <code>i<sup>th</sup></code> <strong>query</strong>:</p>\n\n<ul>\n\t<li>Set <code>colors[index<sub>i</sub>]</code> to <code>color<sub>i</sub></code>.</li>\n\t<li>Count the number of adjacent pairs in <code>colors</code> which have the same color (regardless of <code>color<sub>i</sub></code>).</li>\n</ul>\n\n<p>Return an array <code>answer</code> of the same length as <code>queries</code> where <code>answer[i]</code> is the answer to the <code>i<sup>th</sup></code> query.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">n = 4, queries = [[0,2],[1,2],[3,1],[1,1],[2,1]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">[0,1,1,0,2]</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<ul>\n\t<li>Initially array colors = [0,0,0,0], where 0 denotes uncolored elements of the array.</li>\n\t<li>After the 1<sup>st</sup> query colors = [2,0,0,0]. The count of adjacent pairs with the same color is 0.</li>\n\t<li>After the 2<sup>nd</sup> query colors = [2,2,0,0]. The count of adjacent pairs with the same color is 1.</li>\n\t<li>After the 3<sup>rd</sup> query colors = [2,2,0,1]. The count of adjacent pairs with the same color is 1.</li>\n\t<li>After the 4<sup>th</sup> query colors = [2,1,0,1]. The count of adjacent pairs with the same color is 0.</li>\n\t<li>After the 5<sup>th</sup> query colors = [2,1,1,1]. The count of adjacent pairs with the same color is 2.</li>\n</ul>\n</div>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">n = 1, queries = [[0,100000]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">[0]</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>After the 1<sup>st</sup> query colors = [100000]. The count of adjacent pairs with the same color is 0.</p>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= queries.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>queries[i].length&nbsp;== 2</code></li>\n\t<li><code>0 &lt;= index<sub>i</sub>&nbsp;&lt;= n - 1</code></li>\n\t<li><code>1 &lt;=&nbsp; color<sub>i</sub>&nbsp;&lt;= 10<sup>5</sup></code></li>\n</ul>\n",
"translatedTitle": "有相同颜色的相邻元素数目",
"translatedContent": "<p>给定一个整数&nbsp;<code>n</code>&nbsp;表示一个长度为&nbsp;<code>n</code> 的数组&nbsp; <code>colors</code>,初始所有元素均为 0 ,表示是 <strong>未染色 </strong>的。同时给定一个二维整数数组&nbsp;<code>queries</code>,其中&nbsp;<code>queries[i] = [index<sub>i</sub>, color<sub>i</sub>]</code>。对于第&nbsp;<code>i</code> 个&nbsp;<strong>查询</strong></p>\n\n<ul>\n\t<li>将&nbsp;<code>colors[index<sub>i</sub>]</code>&nbsp;染色为 <code>color<sub>i</sub></code>。</li>\n\t<li>统计&nbsp;<code>colors</code>&nbsp;中颜色相同的相邻对的数量(无论 <code>color<sub>i</sub></code>)。</li>\n</ul>\n\n<p>请你返回一个长度与 <code>queries</code>&nbsp;相等的数组<em>&nbsp;</em><code>answer</code><em>&nbsp;</em>,其中<em>&nbsp;</em><code>answer[i]</code>是前 <code>i</code>&nbsp;个操作的答案。</p>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1</strong></p>\n\n<div class=\"example-block\">\n<p><span class=\"example-io\"><b>输入:</b>n = 4, queries = [[0,2],[1,2],[3,1],[1,1],[2,1]]</span></p>\n\n<p><span class=\"example-io\"><b>输出:</b>[0,1,1,0,2]</span></p>\n\n<p><strong>解释:</strong></p>\n\n<ul>\n\t<li>一开始 colors = [0,0,0,0],其中 0 表示数组中未染色的元素。</li>\n\t<li>在第 1 次查询后&nbsp;colors = [2,0,0,0]。颜色相同的相邻对的数量是 0。</li>\n\t<li>在第 2&nbsp;次查询后 colors = [2,2,0,0]。颜色相同的相邻对的数量是 1。</li>\n\t<li>在第 3&nbsp;次查询后 colors = [2,2,0,1]。颜色相同的相邻对的数量是 1。</li>\n\t<li>在第 4&nbsp;次查询后 colors = [2,1,0,1]。颜色相同的相邻对的数量是 0。</li>\n\t<li>在第 5&nbsp;次查询后 colors = [2,1,1,1]。颜色相同的相邻对的数量是 2。</li>\n</ul>\n</div>\n\n<p><strong class=\"example\">示例 2</strong></p>\n\n<div class=\"example-block\">\n<p><span class=\"example-io\"><b>输入:</b>n = 1, queries = [[0,100000]]</span></p>\n\n<p><span class=\"example-io\"><b>输出:</b>[0]</span></p>\n\n<p><strong>解释:</strong></p>\n\n<p>在第一次查询后&nbsp;colors = [100000]。颜色相同的相邻对的数量是 0。</p>\n</div>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= queries.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>queries[i].length&nbsp;== 2</code></li>\n\t<li><code>0 &lt;= index<sub>i</sub>&nbsp;&lt;= n - 1</code></li>\n\t<li><code>1 &lt;=&nbsp; color<sub>i</sub>&nbsp;&lt;= 10<sup>5</sup></code></li>\n</ul>\n",
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"Since at each query, only one element is being recolored, we just need to focus on its neighbors.",
"If an element that is changed on the i-th query had the same color as its right element answer decreases by 1. Similarly contributes its left element too.",
"After changing the color, if the element has the same color as its right element answer increases by 1. Similarly contributes its left element too."
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