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leetcode-problemset/leetcode/originData/mark-elements-on-array-by-performing-queries.json
2024-04-07 13:02:43 +08:00

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{
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"question": {
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"title": "Mark Elements on Array by Performing Queries",
"titleSlug": "mark-elements-on-array-by-performing-queries",
"content": "<p>You are given a <strong>0-indexed</strong> array <code>nums</code> of size <code>n</code> consisting of positive integers.</p>\n\n<p>You are also given a 2D array <code>queries</code> of size <code>m</code> where <code>queries[i] = [index<sub>i</sub>, k<sub>i</sub>]</code>.</p>\n\n<p>Initially all elements of the array are <strong>unmarked</strong>.</p>\n\n<p>You need to apply <code>m</code> queries on the array in order, where on the <code>i<sup>th</sup></code> query you do the following:</p>\n\n<ul>\n\t<li>Mark the element at index <code>index<sub>i</sub></code> if it is not already marked.</li>\n\t<li>Then mark <code>k<sub>i</sub></code> unmarked elements in the array with the <strong>smallest</strong> values. If multiple such elements exist, mark the ones with the smallest indices. And if less than <code>k<sub>i</sub></code> unmarked elements exist, then mark all of them.</li>\n</ul>\n\n<p>Return <em>an array answer of size </em><code>m</code><em> where </em><code>answer[i]</code><em> is the <strong>sum</strong> of unmarked elements in the array after the </em><code>i<sup>th</sup></code><em> query</em>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<div class=\"example-block\" style=\"border-color: var(--border-tertiary); border-left-width: 2px; color: var(--text-secondary); font-size: .875rem; margin-bottom: 1rem; margin-top: 1rem; overflow: visible; padding-left: 1rem;\">\n<p><strong>Input: </strong><span class=\"example-io\" style=\"font-family: Menlo,sans-serif; font-size: 0.85rem;\">nums = [1,2,2,1,2,3,1], queries = [[1,2],[3,3],[4,2]]</span></p>\n\n<p><strong>Output: </strong><span class=\"example-io\" style=\"font-family: Menlo,sans-serif; font-size: 0.85rem;\">[8,3,0]</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>We do the following queries on the array:</p>\n\n<ul>\n\t<li>Mark the element at index <code>1</code>, and <code>2</code> of the smallest unmarked elements with the smallest indices if they exist, the marked elements now are <code>nums = [<strong><u>1</u></strong>,<u><strong>2</strong></u>,2,<u><strong>1</strong></u>,2,3,1]</code>. The sum of unmarked elements is <code>2 + 2 + 3 + 1 = 8</code>.</li>\n\t<li>Mark the element at index <code>3</code>, since it is already marked we skip it. Then we mark <code>3</code> of the smallest unmarked elements with the smallest indices, the marked elements now are <code>nums = [<strong><u>1</u></strong>,<u><strong>2</strong></u>,<u><strong>2</strong></u>,<u><strong>1</strong></u>,<u><strong>2</strong></u>,3,<strong><u>1</u></strong>]</code>. The sum of unmarked elements is <code>3</code>.</li>\n\t<li>Mark the element at index <code>4</code>, since it is already marked we skip it. Then we mark <code>2</code> of the smallest unmarked elements with the smallest indices if they exist, the marked elements now are <code>nums = [<strong><u>1</u></strong>,<u><strong>2</strong></u>,<u><strong>2</strong></u>,<u><strong>1</strong></u>,<u><strong>2</strong></u>,<strong><u>3</u></strong>,<u><strong>1</strong></u>]</code>. The sum of unmarked elements is <code>0</code>.</li>\n</ul>\n</div>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<div class=\"example-block\" style=\"border-color: var(--border-tertiary); border-left-width: 2px; color: var(--text-secondary); font-size: .875rem; margin-bottom: 1rem; margin-top: 1rem; overflow: visible; padding-left: 1rem;\">\n<p><strong>Input: </strong><span class=\"example-io\" style=\"font-family: Menlo,sans-serif; font-size: 0.85rem;\">nums = [1,4,2,3], queries = [[0,1]]</span></p>\n\n<p><strong>Output: </strong><span class=\"example-io\" style=\"font-family: Menlo,sans-serif; font-size: 0.85rem;\">[7]</span></p>\n\n<p><strong>Explanation: </strong> We do one query which is mark the element at index <code>0</code> and mark the smallest element among unmarked elements. The marked elements will be <code>nums = [<strong><u>1</u></strong>,4,<u><strong>2</strong></u>,3]</code>, and the sum of unmarked elements is <code>4 + 3 = 7</code>.</p>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>n == nums.length</code></li>\n\t<li><code>m == queries.length</code></li>\n\t<li><code>1 &lt;= m &lt;= n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 10<sup>5</sup></code></li>\n\t<li><code>queries[i].length == 2</code></li>\n\t<li><code>0 &lt;= index<sub>i</sub>, k<sub>i</sub> &lt;= n - 1</code></li>\n</ul>\n",
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"Use another array to keep track of marked indices.",
"Sort the array <code>nums</code> to be able to find the smallest unmarked elements quickly in each query."
],
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