mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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181 lines
19 KiB
JSON
181 lines
19 KiB
JSON
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"title": "Maximum Points in an Archery Competition",
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"content": "<p>Alice and Bob are opponents in an archery competition. The competition has set the following rules:</p>\n\n<ol>\n\t<li>Alice first shoots <code>numArrows</code> arrows and then Bob shoots <code>numArrows</code> arrows.</li>\n\t<li>The points are then calculated as follows:\n\t<ol>\n\t\t<li>The target has integer scoring sections ranging from <code>0</code> to <code>11</code> <strong>inclusive</strong>.</li>\n\t\t<li>For <strong>each</strong> section of the target with score <code>k</code> (in between <code>0</code> to <code>11</code>), say Alice and Bob have shot <code>a<sub>k</sub></code> and <code>b<sub>k</sub></code> arrows on that section respectively. If <code>a<sub>k</sub> >= b<sub>k</sub></code>, then Alice takes <code>k</code> points. If <code>a<sub>k</sub> < b<sub>k</sub></code>, then Bob takes <code>k</code> points.</li>\n\t\t<li>However, if <code>a<sub>k</sub> == b<sub>k</sub> == 0</code>, then <strong>nobody</strong> takes <code>k</code> points.</li>\n\t</ol>\n\t</li>\n</ol>\n\n<ul>\n\t<li>\n\t<p>For example, if Alice and Bob both shot <code>2</code> arrows on the section with score <code>11</code>, then Alice takes <code>11</code> points. On the other hand, if Alice shot <code>0</code> arrows on the section with score <code>11</code> and Bob shot <code>2</code> arrows on that same section, then Bob takes <code>11</code> points.</p>\n\t</li>\n</ul>\n\n<p>You are given the integer <code>numArrows</code> and an integer array <code>aliceArrows</code> of size <code>12</code>, which represents the number of arrows Alice shot on each scoring section from <code>0</code> to <code>11</code>. Now, Bob wants to <strong>maximize</strong> the total number of points he can obtain.</p>\n\n<p>Return <em>the array </em><code>bobArrows</code><em> which represents the number of arrows Bob shot on <strong>each</strong> scoring section from </em><code>0</code><em> to </em><code>11</code>. The sum of the values in <code>bobArrows</code> should equal <code>numArrows</code>.</p>\n\n<p>If there are multiple ways for Bob to earn the maximum total points, return <strong>any</strong> one of them.</p>\n\n<p> </p>\n<p><strong>Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2022/02/24/ex1.jpg\" style=\"width: 600px; height: 120px;\" />\n<pre>\n<strong>Input:</strong> numArrows = 9, aliceArrows = [1,1,0,1,0,0,2,1,0,1,2,0]\n<strong>Output:</strong> [0,0,0,0,1,1,0,0,1,2,3,1]\n<strong>Explanation:</strong> The table above shows how the competition is scored. \nBob earns a total point of 4 + 5 + 8 + 9 + 10 + 11 = 47.\nIt can be shown that Bob cannot obtain a score higher than 47 points.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2022/02/24/ex2new.jpg\" style=\"width: 600px; height: 117px;\" />\n<pre>\n<strong>Input:</strong> numArrows = 3, aliceArrows = [0,0,1,0,0,0,0,0,0,0,0,2]\n<strong>Output:</strong> [0,0,0,0,0,0,0,0,1,1,1,0]\n<strong>Explanation:</strong> The table above shows how the competition is scored.\nBob earns a total point of 8 + 9 + 10 = 27.\nIt can be shown that Bob cannot obtain a score higher than 27 points.\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= numArrows <= 10<sup>5</sup></code></li>\n\t<li><code>aliceArrows.length == bobArrows.length == 12</code></li>\n\t<li><code>0 <= aliceArrows[i], bobArrows[i] <= numArrows</code></li>\n\t<li><code>sum(aliceArrows[i]) == numArrows</code></li>\n</ul>\n",
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"To obtain points for some certain section x, what is the minimum number of arrows Bob must shoot?",
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"Given the small number of sections, can we brute force which sections Bob wants to win?",
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"For every set of sections Bob wants to win, check if we have the required amount of arrows. If we do, it is a valid selection."
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