Hard
You are given a 0-indexed integer array nums
and an integer k
.
You can perform the following operation on the array at most k
times:
i
from the array and increase or decrease nums[i]
by 1
.The score of the final array is the frequency of the most frequent element in the array.
Return the maximum score you can achieve.
The frequency of an element is the number of occurences of that element in the array.
Example 1:
Input: nums = [1,2,6,4], k = 3
Output: 3
Explanation: We can do the following operations on the array:
The element 2 is the most frequent in the final array so our score is 3. It can be shown that we cannot achieve a better score.
Example 2:
Input: nums = [1,4,4,2,4], k = 0
Output: 3
Explanation: We cannot apply any operations so our score will be the frequency of the most frequent element in the original array, which is 3.
Constraints:
1 <= nums.length <= 105
1 <= nums[i] <= 109
0 <= k <= 1014
import java.util.Arrays;
public class Solution {
public int maxFrequencyScore(int[] nums, long k) {
Arrays.sort(nums);
int n = nums.length;
long[] prefixSum = new long[n + 1];
for (int i = 0; i < n; i++) {
prefixSum[i + 1] = prefixSum[i] + nums[i];
}
int start = 0;
int end = 1;
int out = 1;
while (end < n) {
end++;
int mid = (start + end) / 2;
long target = nums[mid];
long cost =
(target * (mid - start) - (prefixSum[mid] - prefixSum[start]))
+ (prefixSum[end] - prefixSum[mid] - target * (end - mid));
while (start < end && cost > k) {
start++;
mid = (start + end) / 2;
target = nums[mid];
cost =
(target * (mid - start) - (prefixSum[mid] - prefixSum[start]))
+ (prefixSum[end] - prefixSum[mid] - target * (end - mid));
}
out = Math.max(out, end - start);
}
return out;
}
}