How to Solve Mice and Cheese Problem
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Mice and Cheese
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. ...
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Understanding the Mice and Cheese Problem
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Problem Statement
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.
Mice and Cheese
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Examples
reward1 = [1,1,3,4], reward2 = [4,4,1,1], k = 2
15
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.
reward1 = [1,1], reward2 = [1,1], k = 2
2
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
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