{ "data": { "question": { "questionId": "2148", "questionFrontendId": "2037", "categoryTitle": "Algorithms", "boundTopicId": 1046108, "title": "Minimum Number of Moves to Seat Everyone", "titleSlug": "minimum-number-of-moves-to-seat-everyone", "content": "
There are n
seats and n
students in a room. You are given an array seats
of length n
, where seats[i]
is the position of the ith
seat. You are also given the array students
of length n
, where students[j]
is the position of the jth
student.
You may perform the following move any number of times:
\n\nith
student by 1
(i.e., moving the ith
student from position x
to x + 1
or x - 1
)Return the minimum number of moves required to move each student to a seat such that no two students are in the same seat.
\n\nNote that there may be multiple seats or students in the same position at the beginning.
\n\n\n
Example 1:
\n\n\nInput: seats = [3,1,5], students = [2,7,4]\nOutput: 4\nExplanation: 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\n\n
Example 2:
\n\n\nInput: seats = [4,1,5,9], students = [1,3,2,6]\nOutput: 7\nExplanation: 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\n\n
Example 3:
\n\n\nInput: seats = [2,2,6,6], students = [1,3,2,6]\nOutput: 4\nExplanation: 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\n\n
\n
Constraints:
\n\nn == seats.length == students.length
1 <= n <= 100
1 <= seats[i], students[j] <= 100
一个房间里有 n
个座位和 n
名学生,房间用一个数轴表示。给你一个长度为 n
的数组 seats
,其中 seats[i]
是第 i
个座位的位置。同时给你一个长度为 n
的数组 students
,其中 students[j]
是第 j
位学生的位置。
你可以执行以下操作任意次:
\n\ni
位学生的位置,每次变化量为 1
(也就是将第 i
位学生从位置 x
移动到 x + 1
或者 x - 1
)请你返回使所有学生都有座位坐的 最少移动次数 ,并确保没有两位学生的座位相同。
\n\n请注意,初始时有可能有多个座位或者多位学生在 同一 位置。
\n\n\n\n
示例 1:
\n\n输入:seats = [3,1,5], students = [2,7,4]\n输出:4\n解释:学生移动方式如下:\n- 第一位学生从位置 2 移动到位置 1 ,移动 1 次。\n- 第二位学生从位置 7 移动到位置 5 ,移动 2 次。\n- 第三位学生从位置 4 移动到位置 3 ,移动 1 次。\n总共 1 + 2 + 1 = 4 次移动。\n\n\n
示例 2:
\n\n输入:seats = [4,1,5,9], students = [1,3,2,6]\n输出:7\n解释:学生移动方式如下:\n- 第一位学生不移动。\n- 第二位学生从位置 3 移动到位置 4 ,移动 1 次。\n- 第三位学生从位置 2 移动到位置 5 ,移动 3 次。\n- 第四位学生从位置 6 移动到位置 9 ,移动 3 次。\n总共 0 + 1 + 3 + 3 = 7 次移动。\n\n\n
示例 3:
\n\n输入:seats = [2,2,6,6], students = [1,3,2,6]\n输出:4\n解释:学生移动方式如下:\n- 第一位学生从位置 1 移动到位置 2 ,移动 1 次。\n- 第二位学生从位置 3 移动到位置 6 ,移动 3 次。\n- 第三位学生不移动。\n- 第四位学生不移动。\n总共 1 + 3 + 0 + 0 = 4 次移动。\n\n\n
\n\n
提示:
\n\nn == seats.length == students.length
1 <= n <= 100
1 <= seats[i], students[j] <= 100
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