mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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169 lines
17 KiB
JSON
169 lines
17 KiB
JSON
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"title": "Minimum Number of Moves to Seat Everyone",
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"content": "<p>There are <code>n</code> seats and <code>n</code> students in a room. You are given an array <code>seats</code> of length <code>n</code>, where <code>seats[i]</code> is the position of the <code>i<sup>th</sup></code> seat. You are also given the array <code>students</code> of length <code>n</code>, where <code>students[j]</code> is the position of the <code>j<sup>th</sup></code> student.</p>\n\n<p>You may perform the following move any number of times:</p>\n\n<ul>\n\t<li>Increase or decrease the position of the <code>i<sup>th</sup></code> student by <code>1</code> (i.e., moving the <code>i<sup>th</sup></code> student from position <code>x</code> to <code>x + 1</code> or <code>x - 1</code>)</li>\n</ul>\n\n<p>Return <em>the <strong>minimum number of moves</strong> required to move each student to a seat</em><em> such that no two students are in the same seat.</em></p>\n\n<p>Note that there may be <strong>multiple</strong> seats or students in the <strong>same </strong>position at the beginning.</p>\n\n<p> </p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> seats = [3,1,5], students = [2,7,4]\n<strong>Output:</strong> 4\n<strong>Explanation:</strong> The students are moved as follows:\n- The first student is moved from from position 2 to position 1 using 1 move.\n- The second student is moved from from position 7 to position 5 using 2 moves.\n- The third student is moved from from position 4 to position 3 using 1 move.\nIn total, 1 + 2 + 1 = 4 moves were used.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> seats = [4,1,5,9], students = [1,3,2,6]\n<strong>Output:</strong> 7\n<strong>Explanation:</strong> The students are moved as follows:\n- The first student is not moved.\n- The second student is moved from from position 3 to position 4 using 1 move.\n- The third student is moved from from position 2 to position 5 using 3 moves.\n- The fourth student is moved from from position 6 to position 9 using 3 moves.\nIn total, 0 + 1 + 3 + 3 = 7 moves were used.\n</pre>\n\n<p><strong>Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> seats = [2,2,6,6], students = [1,3,2,6]\n<strong>Output:</strong> 4\n<strong>Explanation:</strong> Note that there are two seats at position 2 and two seats at position 6.\nThe students are moved as follows:\n- The first student is moved from from position 1 to position 2 using 1 move.\n- The second student is moved from from position 3 to position 6 using 3 moves.\n- The third student is not moved.\n- The fourth student is not moved.\nIn total, 1 + 3 + 0 + 0 = 4 moves were used.\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>n == seats.length == students.length</code></li>\n\t<li><code>1 <= n <= 100</code></li>\n\t<li><code>1 <= seats[i], students[j] <= 100</code></li>\n</ul>\n",
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"Can we sort the arrays to help solve the problem?",
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"Can we greedily match each student to a seat?",
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"The smallest positioned student will go to the smallest positioned chair, and then the next smallest positioned student will go to the next smallest positioned chair, and so on."
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