How to Solve Minimum Cost to Reach Every Position Problem
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Minimum Cost to Reach Every Position
You are given an integer array cost of size n. You are currently at position n (at the end of the line) in a line of n + 1 people (numbered from 0 to n). You wish to move forward in the line, but each...
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Understanding the Minimum Cost to Reach Every Position Problem
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Problem Statement
You are given an integer array cost of size n. You are currently at position n (at the end of the line) in a line of n + 1 people (numbered from 0 to n). You wish to move forward in the line, but each person in front of you charges a specific amount to swap places. The cost to swap with person i is given by cost[i]. You are allowed to swap places with people as follows: If they are in front of you, you must pay them cost[i] to swap with them. If they are behind you, they can swap with you for free. Return an array answer of size n, where answer[i] is the minimum total cost to reach each position i in the line.
Minimum Cost to Reach Every Position
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Examples
cost = [5,3,4,1,3,2][5,3,3,1,1,1]We can get to each position in the following way: i = 0. We can swap with person 0 for a cost of 5. i = 1. We can swap with person 1 for a cost of 3. i = 2. We can swap with person 1 for a cost of 3, then swap with person 2 for free. i = 3. We can swap with person 3 for a cost of 1. i = 4. We can swap with person 3 for a cost of 1, then swap with person 4 for free. i = 5. We can swap with person 3 for a cost of 1, then swap with person 5 for free.
cost = [1,2,4,6,7][1,1,1,1,1]We can swap with person 0 for a cost of 1, then we will be able to reach any position i for free.
Constraints
1 <= n == cost.length <= 1001 <= cost[i] <= 100How Interview Coder Helps with Leetcode Problems
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