2037 - Minimum Number of Moves to Seat Everyone\.

Easy

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 <code>i^th</code> seat. You are also given the array students of length n, where students[j] is the position of the <code>j^th</code> student.

You may perform the following move any number of times:

• Increase or decrease the position of the <code>i^th</code> student by 1 (i.e., moving the <code>i^th</code> 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