Leetcode Problem 2463. Minimum Total Distance Traveled

2463. Minimum Total Distance Traveled

Leetcode Solutions

Dynamic Programming - Assign Robots to Factories

  1. Sort the robot and factory arrays based on their positions.\n2. Calculate the prefix sum of factory limits to know the total limit up to each factory.\n3. Initialize a DP table dp with dimensions [len(robot) + 1][len(factory) + 1].\n4. Set dp[0][j] to 0 for all j since no distance is traveled with 0 robots.\n5. Define a recursive helper function that computes dp[i][j].\n6. In the helper function, check if the total limit of the first j factories is less than i. If so, return -1.\n7. Explore all possible numbers of robots that can be assigned to the last factory.\n8. Calculate the total distance for assigning a certain number of robots to the last factory.\n9. Use the helper function to fill in the DP table.\n10. Return the value of dp[len(robot)][len(factory)] as the result.
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Greedy Approach with Sorting and Priority Queue

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