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Problem: Rearranging Fruits

hard
40 min
Understand how to apply greedy techniques to solve optimization problems involving swapping costs. Learn to calculate the minimum cost to make two arrays identical by swapping fruits, exploring problem constraints and solution strategies.

Statement

Given two 0-indexed integer arrays, basket1 and basket2, representing the cost of each fruit in the basket. Each basket contains nn fruits. Make the two baskets identical, i.e., both arrays should have the same costs.

To achieve this, perform the following operation as many times as necessary:

  1. Select two indexes, ii and jj, and swap the fruit at index ii in basket1 with the fruit at index jj in basket2.

  2. The cost of this swap is min(basket1[i], basket2[j]).

The two baskets are considered identical if, after sorting the fruits by cost, both baskets contain exactly the same costs.

Return the minimum cost required to make the baskets identical, or 1-1 if it is impossible.

Constraints:

  • basket1.length == basket2.length

  • 11 \leq basket1.length 103\leq 10^3

  • 11 \leq basket1[i], basket2[i] 104\leq 10^4

Tap here to switch tabs
Problem
Ask
Submissions

Problem: Rearranging Fruits

hard
40 min
Understand how to apply greedy techniques to solve optimization problems involving swapping costs. Learn to calculate the minimum cost to make two arrays identical by swapping fruits, exploring problem constraints and solution strategies.

Statement

Given two 0-indexed integer arrays, basket1 and basket2, representing the cost of each fruit in the basket. Each basket contains nn fruits. Make the two baskets identical, i.e., both arrays should have the same costs.

To achieve this, perform the following operation as many times as necessary:

  1. Select two indexes, ii and jj, and swap the fruit at index ii in basket1 with the fruit at index jj in basket2.

  2. The cost of this swap is min(basket1[i], basket2[j]).

The two baskets are considered identical if, after sorting the fruits by cost, both baskets contain exactly the same costs.

Return the minimum cost required to make the baskets identical, or 1-1 if it is impossible.

Constraints:

  • basket1.length == basket2.length

  • 11 \leq basket1.length 103\leq 10^3

  • 11 \leq basket1[i], basket2[i] 104\leq 10^4