leetcode-problemset/leetcode-cn/originData/alternating-groups-iii.json

{
    "data": {
        "question": {
            "questionId": "3527",
            "questionFrontendId": "3245",
            "categoryTitle": "Algorithms",
            "boundTopicId": 2866989,
            "title": "Alternating Groups III",
            "titleSlug": "alternating-groups-iii",
            "content": "<p>There are some red and blue tiles arranged circularly. You are given an array of integers <code>colors</code> and a 2D integers array <code>queries</code>.</p>\n\n<p>The color of tile <code>i</code> is represented by <code>colors[i]</code>:</p>\n\n<ul>\n\t<li><code>colors[i] == 0</code> means that tile <code>i</code> is <strong>red</strong>.</li>\n\t<li><code>colors[i] == 1</code> means that tile <code>i</code> is <strong>blue</strong>.</li>\n</ul>\n\n<p>An <strong>alternating</strong> group is a contiguous subset of tiles in the circle with <strong>alternating</strong> colors (each tile in the group except the first and last one has a different color from its <b>adjacent</b> tiles in the group).</p>\n\n<p>You have to process queries of two types:</p>\n\n<ul>\n\t<li><code>queries[i] = [1, size<sub>i</sub>]</code>, determine the count of <strong>alternating</strong> groups with size <code>size<sub>i</sub></code>.</li>\n\t<li><code>queries[i] = [2, index<sub>i</sub>, color<sub>i</sub>]</code>, change <code>colors[index<sub>i</sub>]</code> to <code>color<font face=\"monospace\"><sub>i</sub></font></code>.</li>\n</ul>\n\n<p>Return an array <code>answer</code> containing the results of the queries of the first type <em>in order</em>.</p>\n\n<p><strong>Note</strong> that since <code>colors</code> represents a <strong>circle</strong>, the <strong>first</strong> and the <strong>last</strong> tiles are considered to be next to each other.</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\">colors = [0,1,1,0,1], queries = [[2,1,0],[1,4]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">[2]</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p><strong class=\"example\"><img alt=\"\" data-darkreader-inline-bgcolor=\"\" data-darkreader-inline-bgimage=\"\" src=\"https://assets.leetcode.com/uploads/2024/06/03/screenshot-from-2024-06-03-20-14-44.png\" style=\"width: 150px; height: 150px; padding: 10px; background: rgb(255, 255, 255); border-radius: 0.5rem; --darkreader-inline-bgimage: initial; --darkreader-inline-bgcolor: #181a1b;\" /></strong></p>\n\n<p>First query:</p>\n\n<p>Change <code>colors[1]</code> to 0.</p>\n\n<p><img alt=\"\" data-darkreader-inline-bgcolor=\"\" data-darkreader-inline-bgimage=\"\" src=\"https://assets.leetcode.com/uploads/2024/06/03/screenshot-from-2024-06-03-20-20-25.png\" style=\"width: 150px; height: 150px; padding: 10px; background: rgb(255, 255, 255); border-radius: 0.5rem; --darkreader-inline-bgimage: initial; --darkreader-inline-bgcolor: #181a1b;\" /></p>\n\n<p>Second query:</p>\n\n<p>Count of the alternating groups with size 4:</p>\n\n<p><img alt=\"\" data-darkreader-inline-bgcolor=\"\" data-darkreader-inline-bgimage=\"\" src=\"https://assets.leetcode.com/uploads/2024/06/03/screenshot-from-2024-06-03-20-25-02-2.png\" style=\"width: 150px; height: 150px; padding: 10px; background: rgb(255, 255, 255); border-radius: 0.5rem; --darkreader-inline-bgimage: initial; --darkreader-inline-bgcolor: #181a1b;\" /><img alt=\"\" data-darkreader-inline-bgcolor=\"\" data-darkreader-inline-bgimage=\"\" src=\"https://assets.leetcode.com/uploads/2024/06/03/screenshot-from-2024-06-03-20-24-12.png\" style=\"width: 150px; height: 150px; padding: 10px; background: rgb(255, 255, 255); border-radius: 0.5rem; --darkreader-inline-bgimage: initial; --darkreader-inline-bgcolor: #181a1b;\" /></p>\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\">colors = [0,0,1,0,1,1], queries = [[1,3],[2,3,0],[1,5]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">[2,0]</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p><img alt=\"\" data-darkreader-inline-bgcolor=\"\" data-darkreader-inline-bgimage=\"\" src=\"https://assets.leetcode.com/uploads/2024/06/03/screenshot-from-2024-06-03-20-35-50.png\" style=\"width: 150px; height: 150px; padding: 10px; background: rgb(255, 255, 255); border-radius: 0.5rem; --darkreader-inline-bgimage: initial; --darkreader-inline-bgcolor: #181a1b;\" /></p>\n\n<p>First query:</p>\n\n<p>Count of the alternating groups with size 3:</p>\n\n<p><img alt=\"\" data-darkreader-inline-bgcolor=\"\" data-darkreader-inline-bgimage=\"\" src=\"https://assets.leetcode.com/uploads/2024/06/03/screenshot-from-2024-06-03-20-37-13.png\" style=\"width: 150px; height: 150px; padding: 10px; background: rgb(255, 255, 255); border-radius: 0.5rem; --darkreader-inline-bgimage: initial; --darkreader-inline-bgcolor: #181a1b;\" /><img alt=\"\" data-darkreader-inline-bgcolor=\"\" data-darkreader-inline-bgimage=\"\" src=\"https://assets.leetcode.com/uploads/2024/06/03/screenshot-from-2024-06-03-20-36-40.png\" style=\"width: 150px; height: 150px; padding: 10px; background: rgb(255, 255, 255); border-radius: 0.5rem; --darkreader-inline-bgimage: initial; --darkreader-inline-bgcolor: #181a1b;\" /></p>\n\n<p>Second query: <code>colors</code> will not change.</p>\n\n<p>Third query: There is no alternating group with size 5.</p>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>4 &lt;= colors.length &lt;= 5 * 10<sup>4</sup></code></li>\n\t<li><code>0 &lt;= colors[i] &lt;= 1</code></li>\n\t<li><code>1 &lt;= queries.length &lt;= 5 * 10<sup>4</sup></code></li>\n\t<li><code>queries[i][0] == 1</code> or <code>queries[i][0] == 2</code></li>\n\t<li>For all <code>i</code> that:\n\t<ul>\n\t\t<li><code>queries[i][0] == 1</code>: <code>queries[i].length == 2</code>, <code>3 &lt;= queries[i][1] &lt;= colors.length - 1</code></li>\n\t\t<li><code>queries[i][0] == 2</code>: <code>queries[i].length == 3</code>, <code>0 &lt;= queries[i][1] &lt;= colors.length - 1</code>, <code>0 &lt;= queries[i][2] &lt;= 1</code></li>\n\t</ul>\n\t</li>\n</ul>\n",
            "translatedTitle": "交替组 III",
            "translatedContent": "<p>给你一个整数数组 <code>colors</code> 和一个二维整数数组 <code>queries</code> 。<code>colors</code>表示一个由红色和蓝色瓷砖组成的环，第 <code>i</code>&nbsp;块瓷砖的颜色为&nbsp;<code>colors[i]</code>&nbsp;：</p>\n\n<ul>\n\t<li><code>colors[i] == 0</code>&nbsp;表示第&nbsp;<code>i</code>&nbsp;块瓷砖的颜色是 <strong>红色</strong>&nbsp;。</li>\n\t<li><code>colors[i] == 1</code>&nbsp;表示第 <code>i</code>&nbsp;块瓷砖的颜色是 <strong>蓝色</strong>&nbsp;。</li>\n</ul>\n\n<p>环中连续若干块瓷砖的颜色如果是 <strong>交替</strong>&nbsp;颜色（也就是说这组瓷砖中除了第一块和最后一块瓷砖以外，中间瓷砖的颜色与它<strong>&nbsp;左边</strong>&nbsp;和 <strong>右边</strong>&nbsp;的颜色都不同），那么它被称为一个 <strong>交替组</strong>。</p>\n\n<p>你需要处理两种类型的查询：</p>\n\n<ul>\n\t<li><code>queries[i] = [1, size<sub>i</sub>]</code>，确定大小为<code>size<sub>i</sub></code>的<strong> </strong><strong>交替组</strong> 的数量。</li>\n\t<li><code>queries[i] = [2, index<sub>i</sub>, color<sub>i</sub>]</code>，将<code>colors[index<sub>i</sub>]</code>更改为<code>color<sub>i</sub></code>。</li>\n</ul>\n\n<p>返回数组 <code>answer</code>，数组中按顺序包含第一种类型查询的结果。</p>\n\n<p><b>注意</b>&nbsp;，由于&nbsp;<code>colors</code>&nbsp;表示一个 <strong>环</strong>&nbsp;，<strong>第一块</strong>&nbsp;瓷砖和 <strong>最后一块</strong>&nbsp;瓷砖是相邻的。</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><strong>输入：</strong><span class=\"example-io\">colors = [0,1,1,0,1], queries = [[2,1,0],[1,4]]</span></p>\n\n<p><strong>输出：</strong><span class=\"example-io\">[2]</span></p>\n\n<p><strong>解释：</strong></p>\n\n<p>第一次查询：</p>\n\n<p>将 <code>colors[1]</code> 改为 0。</p>\n\n<p><img alt=\"\" data-darkreader-inline-bgcolor=\"\" data-darkreader-inline-bgimage=\"\" src=\"https://assets.leetcode.com/uploads/2024/06/03/screenshot-from-2024-06-03-20-20-25.png\" style=\"width: 150px; height: 150px; padding: 10px; background: rgb(255, 255, 255); border-radius: 0.5rem; --darkreader-inline-bgimage: initial; --darkreader-inline-bgcolor: #181a1b;\" /></p>\n\n<p>第二次查询：</p>\n\n<p>统计大小为 4 的交替组的数量：</p>\n\n<p><img alt=\"\" data-darkreader-inline-bgcolor=\"\" data-darkreader-inline-bgimage=\"\" src=\"https://assets.leetcode.com/uploads/2024/06/03/screenshot-from-2024-06-03-20-25-02-2.png\" style=\"width: 150px; height: 150px; padding: 10px; background: rgb(255, 255, 255); border-radius: 0.5rem; --darkreader-inline-bgimage: initial; --darkreader-inline-bgcolor: #181a1b;\" /><img alt=\"\" data-darkreader-inline-bgcolor=\"\" data-darkreader-inline-bgimage=\"\" src=\"https://assets.leetcode.com/uploads/2024/06/03/screenshot-from-2024-06-03-20-24-12.png\" style=\"width: 150px; height: 150px; padding: 10px; background: rgb(255, 255, 255); border-radius: 0.5rem; --darkreader-inline-bgimage: initial; --darkreader-inline-bgcolor: #181a1b;\" /></p>\n</div>\n\n<p><strong class=\"example\">示例 2：</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入：</strong><span class=\"example-io\">colors = [0,0,1,0,1,1], queries = [[1,3],[2,3,0],[1,5]]</span></p>\n\n<p><strong>输出：</strong><span class=\"example-io\">[2,0]</span></p>\n\n<p><strong>解释：</strong></p>\n\n<p><img alt=\"\" data-darkreader-inline-bgcolor=\"\" data-darkreader-inline-bgimage=\"\" src=\"https://assets.leetcode.com/uploads/2024/06/03/screenshot-from-2024-06-03-20-35-50.png\" style=\"width: 150px; height: 150px; padding: 10px; background: rgb(255, 255, 255); border-radius: 0.5rem; --darkreader-inline-bgimage: initial; --darkreader-inline-bgcolor: #181a1b;\" /></p>\n\n<p>第一次查询：</p>\n\n<p>统计大小为 3 的交替组的数量。</p>\n\n<p><img alt=\"\" data-darkreader-inline-bgcolor=\"\" data-darkreader-inline-bgimage=\"\" src=\"https://assets.leetcode.com/uploads/2024/06/03/screenshot-from-2024-06-03-20-37-13.png\" style=\"width: 150px; height: 150px; padding: 10px; background: rgb(255, 255, 255); border-radius: 0.5rem; --darkreader-inline-bgimage: initial; --darkreader-inline-bgcolor: #181a1b;\" /><img alt=\"\" data-darkreader-inline-bgcolor=\"\" data-darkreader-inline-bgimage=\"\" src=\"https://assets.leetcode.com/uploads/2024/06/03/screenshot-from-2024-06-03-20-36-40.png\" style=\"width: 150px; height: 150px; padding: 10px; background: rgb(255, 255, 255); border-radius: 0.5rem; --darkreader-inline-bgimage: initial; --darkreader-inline-bgcolor: #181a1b;\" /></p>\n\n<p>第二次查询：<code>colors</code>不变。</p>\n\n<p>第三次查询：不存在大小为 5 的交替组。</p>\n</div>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>4 &lt;= colors.length &lt;= 5 * 10<sup>4</sup></code></li>\n\t<li><code>0 &lt;= colors[i] &lt;= 1</code></li>\n\t<li><code>1 &lt;= queries.length &lt;= 5 * 10<sup>4</sup></code></li>\n\t<li><code>queries[i][0] == 1</code> 或 <code>queries[i][0] == 2</code></li>\n\t<li>对于所有的<code>i</code>：\n\t<ul>\n\t\t<li><code>queries[i][0] == 1</code>： <code>queries[i].length == 2</code>, <code>3 &lt;= queries[i][1] &lt;= colors.length - 1</code></li>\n\t\t<li><code>queries[i][0] == 2</code>： <code>queries[i].length == 3</code>, <code>0 &lt;= queries[i][1] &lt;= colors.length - 1</code>, <code>0 &lt;= queries[i][2] &lt;= 1</code></li>\n\t</ul>\n\t</li>\n</ul>\n",
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                    "code": "class Solution {\npublic:\n    vector<int> numberOfAlternatingGroups(vector<int>& colors, vector<vector<int>>& queries) {\n        \n    }\n};",
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                    "code": "class Solution(object):\n    def numberOfAlternatingGroups(self, colors, queries):\n        \"\"\"\n        :type colors: List[int]\n        :type queries: List[List[int]]\n        :rtype: List[int]\n        \"\"\"",
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                "Try using a segment tree to store the maximal alternating groups.",
                "Store the sizes of these maximal alternating groups in another data structure.",
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