2611. Mice and Cheese
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There are two mice and n different types of cheese, each type of cheese should be eaten by exactly one mouse.
A point of the cheese with index i (0-indexed) is:
reward1[i]if the first mouse eats it.reward2[i]if the second mouse eats it.
You are given a positive integer array reward1, a positive integer array reward2, and a non-negative integer k.
Return the maximum points the mice can achieve if the first mouse eats exactly k types of cheese.
Example 1:
Input: reward1 = [1,1,3,4], reward2 = [4,4,1,1], k = 2 Output: 15 Explanation: In this example, the first mouse eats the 2nd (0-indexed) and the 3rd types of cheese, and the second mouse eats the 0th and the 1st types of cheese. The total points are 4 + 4 + 3 + 4 = 15. It can be proven that 15 is the maximum total points that the mice can achieve.
Example 2:
Input: reward1 = [1,1], reward2 = [1,1], k = 2 Output: 2 Explanation: In this example, the first mouse eats the 0th (0-indexed) and 1st types of cheese, and the second mouse does not eat any cheese. The total points are 1 + 1 = 2. It can be proven that 2 is the maximum total points that the mice can achieve.
Constraints:
1 <= n == reward1.length == reward2.length <= 1051 <= reward1[i], reward2[i] <= 10000 <= k <= n
Hints
Hint 1
The intended solution uses greedy approach.
Hint 2
Imagine at first that the second mouse eats all the cheese, then we should choose k types of cheese with the maximum sum of - reward2[i] + reward1[i].