2611. Mice and Cheese ¶
Problem
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 <= 105
1 <= reward1[i], reward2[i] <= 1000
0 <= k <= n