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// 1838. Frequency of the Most Frequent Element
#include "leetcode.h"
/*
* the frequency of an element is the number of times it occurs in an array. you
* are given an integer array 'nums' and an integer 'k'. in one operation, you
* can shoose an index of 'nums' and increment the element at the index by 1.
* return the maximum possible frequency of an element after performing at most
* 'k' operations
*/
int cmp(const void *a, const void *b) { return *(int *)a - *(int *)b; }
int maxFrequency(int *nums, int nums_size, int k) {
int left = 0, right = 0;
qsort(nums, nums_size, sizeof(int), cmp);
long long *dp = malloc((nums_size + 1) * sizeof(long long));
dp[0] = 0;
for (int i = 1; i < nums_size; i++)
dp[i] = nums[i - 1] + dp[i - 1];
long long opt = 0;
while (right < nums_size - 1) {
right++;
opt = (long long)nums[right] * (right - left + 1) -
(dp[right + 1] - dp[left]);
if (opt > k)
left++;
}
free(dp);
return right - left + 1;
}
int main() {
int n1[] = {1, 2, 4}, n2[] = {1, 4, 8, 13}, n3[] = {3, 9, 6};
printf("%d\n", maxFrequency(n1, ARRAY_SIZE(n1), 5)); // expect: 3
printf("%d\n", maxFrequency(n2, ARRAY_SIZE(n2), 5)); // expect: 2
printf("%d\n", maxFrequency(n3, ARRAY_SIZE(n3), 2)); // expect: 1
}
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