leetcode-problemset/leetcode-cn/originData/zero-array-transformation-i.json

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        "question": {
            "questionId": "3639",
            "questionFrontendId": "3355",
            "categoryTitle": "Algorithms",
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            "title": "Zero Array Transformation I",
            "titleSlug": "zero-array-transformation-i",
            "content": "<p>You are given an integer array <code>nums</code> of length <code>n</code> and a 2D array <code>queries</code>, where <code>queries[i] = [l<sub>i</sub>, r<sub>i</sub>]</code>.</p>\n\n<p>For each <code>queries[i]</code>:</p>\n\n<ul>\n\t<li>Select a <span data-keyword=\"subset\">subset</span> of indices within the range <code>[l<sub>i</sub>, r<sub>i</sub>]</code> in <code>nums</code>.</li>\n\t<li>Decrement the values at the selected indices by 1.</li>\n</ul>\n\n<p>A <strong>Zero Array</strong> is an array where all elements are equal to 0.</p>\n\n<p>Return <code>true</code> if it is <em>possible</em> to transform <code>nums</code> into a <strong>Zero Array </strong>after processing all the queries sequentially, otherwise return <code>false</code>.</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\">nums = [1,0,1], queries = [[0,2]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">true</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<ul>\n\t<li><strong>For i = 0:</strong>\n\n\t<ul>\n\t\t<li>Select the subset of indices as <code>[0, 2]</code> and decrement the values at these indices by 1.</li>\n\t\t<li>The array will become <code>[0, 0, 0]</code>, which is a Zero Array.</li>\n\t</ul>\n\t</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\">nums = [4,3,2,1], queries = [[1,3],[0,2]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">false</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<ul>\n\t<li><strong>For i = 0:</strong>\n\n\t<ul>\n\t\t<li>Select the subset of indices as <code>[1, 2, 3]</code> and decrement the values at these indices by 1.</li>\n\t\t<li>The array will become <code>[4, 2, 1, 0]</code>.</li>\n\t</ul>\n\t</li>\n\t<li><strong>For i = 1:</strong>\n\t<ul>\n\t\t<li>Select the subset of indices as <code>[0, 1, 2]</code> and decrement the values at these indices by 1.</li>\n\t\t<li>The array will become <code>[3, 1, 0, 0]</code>, which is not a Zero Array.</li>\n\t</ul>\n\t</li>\n</ul>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= nums.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>0 &lt;= nums[i] &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 == 2</code></li>\n\t<li><code>0 &lt;= l<sub>i</sub> &lt;= r<sub>i</sub> &lt; nums.length</code></li>\n</ul>\n",
            "translatedTitle": "零数组变换 I",
            "translatedContent": "<p>给定一个长度为 <code>n</code> 的整数数组 <code>nums</code> 和一个二维数组 <code>queries</code>，其中 <code>queries[i] = [l<sub>i</sub>, r<sub>i</sub>]</code>。</p>\n\n<p>对于每个查询&nbsp;<code>queries[i]</code>：</p>\n\n<ul>\n\t<li>在&nbsp;<code>nums</code>&nbsp;的下标范围&nbsp;<code>[l<sub>i</sub>, r<sub>i</sub>]</code>&nbsp;内选择一个下标 <span data-keyword=\"subset\">子集</span>。</li>\n\t<li>将选中的每个下标对应的元素值减 1。</li>\n</ul>\n\n<p><strong>零数组&nbsp;</strong>是指所有元素都等于 0 的数组。</p>\n\n<p>如果在按顺序处理所有查询后，可以将 <code>nums</code> 转换为&nbsp;<strong>零数组&nbsp;</strong>，则返回 <code>true</code>，否则返回 <code>false</code>。</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\">nums = [1,0,1], queries = [[0,2]]</span></p>\n\n<p><strong>输出：</strong> <span class=\"example-io\">true</span></p>\n\n<p><strong>解释：</strong></p>\n\n<ul>\n\t<li><strong>对于 i = 0：</strong>\n\n\t<ul>\n\t\t<li>选择下标子集 <code>[0, 2]</code> 并将这些下标处的值减 1。</li>\n\t\t<li>数组将变为 <code>[0, 0, 0]</code>，这是一个零数组。</li>\n\t</ul>\n\t</li>\n</ul>\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\">nums = [4,3,2,1], queries = [[1,3],[0,2]]</span></p>\n\n<p><strong>输出：</strong> <span class=\"example-io\">false</span></p>\n\n<p><strong>解释：</strong></p>\n\n<ul>\n\t<li><strong>对于 i = 0：</strong>&nbsp;\n\n\t<ul>\n\t\t<li>选择下标子集 <code>[1, 2, 3]</code> 并将这些下标处的值减 1。</li>\n\t\t<li>数组将变为 <code>[4, 2, 1, 0]</code>。</li>\n\t</ul>\n\t</li>\n\t<li><strong>对于 i = 1：</strong>\n\t<ul>\n\t\t<li>选择下标子集 <code>[0, 1, 2]</code> 并将这些下标处的值减 1。</li>\n\t\t<li>数组将变为 <code>[3, 1, 0, 0]</code>，这不是一个零数组。</li>\n\t</ul>\n\t</li>\n</ul>\n</div>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= nums.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>0 &lt;= nums[i] &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 == 2</code></li>\n\t<li><code>0 &lt;= l<sub>i</sub> &lt;= r<sub>i</sub> &lt; nums.length</code></li>\n</ul>\n",
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                    "name": "Array",
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                "Can we use difference array and prefix sum to check if an index can be made zero?"
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