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Minimum Number of Moves to Seat Everyone

There are n availabe seats and n students standing in a room.

There are n availabe seats and n students standing 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:

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 position 2 to position 1 using 1 move. - The second student is moved from position 7 to position 5 using 2 moves. - The third student is moved 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 position 3 to position 4 using 1 move. - The third student is moved from position 2 to position 5 using 3 moves. - The fourth student is moved 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 position 1 to position 2 using 1 move. - The second student is moved 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

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