2037. Minimum Number of Moves to Seat Everyone

2037. Minimum Number of Moves to Seat Everyone #

题目 #

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:

  • Increase or decrease the position of the ith 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.

Note that there may be multiple seats or students in the same position at the beginning.

Example 1:

Input: seats = [3,1,5], students = [2,7,4]
Output: 4
Explanation: The students are moved as follows:
- The first student is moved from from position 2 to position 1 using 1 move.
- The second student is moved from from position 7 to position 5 using 2 moves.
- The third student is moved from from position 4 to position 3 using 1 move.
In total, 1 + 2 + 1 = 4 moves were used.

Example 2:

Input: seats = [4,1,5,9], students = [1,3,2,6]
Output: 7
Explanation: The students are moved as follows:
- The first student is not moved.
- The second student is moved from from position 3 to position 4 using 1 move.
- The third student is moved from from position 2 to position 5 using 3 moves.
- The fourth student is moved from from position 6 to position 9 using 3 moves.
In total, 0 + 1 + 3 + 3 = 7 moves were used.

Example 3:

Input: seats = [2,2,6,6], students = [1,3,2,6]
Output: 4
Explanation: Note that there are two seats at position 2 and two seats at position 6.
The students are moved as follows:
- The first student is moved from from position 1 to position 2 using 1 move.
- The second student is moved from from position 3 to position 6 using 3 moves.
- The third student is not moved.
- The fourth student is not moved.
In total, 1 + 3 + 0 + 0 = 4 moves were used.

Constraints:

  • n == seats.length == students.length
  • 1 <= n <= 100
  • 1 <= seats[i], students[j] <= 100

题目大意 #

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:

增加或者减少第 i 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。

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。

解题思路 #

  • 排序+模拟计算

代码 #

package leetcode

import "sort"

func minMovesToSeat(seats []int, students []int) int {
	sort.Ints(seats)
	sort.Ints(students)
	n := len(students)
	moves := 0
	for i := 0; i < n; i++ {
		moves += abs(seats[i], students[i])
	}
	return moves
}

func abs(a, b int) int {
	if a > b {
		return a - b
	}
	return b - a
}

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