How to Solve Minimum Number of Moves to Seat Everyone Problem
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Minimum Number of Moves to Seat Everyone
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 ...
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Understanding the Minimum Number of Moves to Seat Everyone Problem
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Problem Statement
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: 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.
Minimum Number of Moves to Seat Everyone
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Examples
seats = [3,1,5], students = [2,7,4]4The 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.
seats = [4,1,5,9], students = [1,3,2,6]7The 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.
seats = [2,2,6,6], students = [1,3,2,6]4Note 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.length1 <= n <= 1001 <= seats[i], students[j] <= 100How Interview Coder Helps with Leetcode Problems
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