Find the “Kth” max and min element of an array in C
Kth Max and Min Element of an Array in C
Here, in this page we will discuss the program to find Kth max and min element of an array in C programming language. We will first sort the array the array then print the required values.
Algorithm :
- Sort the entire array using merge sort.
- After sorting, Kth maximum element will be at index arr_size-k.
- And Kth minimum element is at k-1.
Time and Space Complexity :
- Time Complexity : O(NLogN)
- Space Complexity : O(N)
Code in C
//Program to find kth min and max element in C
#include <stdio.h>
#include <stdlib.h>
void merge(int arr[], int l, int m, int r)
{
int i, j, k;
int n1 = m - l + 1;
int n2 = r - m;
int L[n1], R[n2];
for (i = 0; i < n1; i++)
L[i] = arr[l + i];
for (j = 0; j < n2; j++)
R[j] = arr[m + 1 + j];
i = 0;
j = 0;
k = l;
while (i < n1 && j < n2) {
if (L[i] <= R[j]) {
arr[k] = L[i];
i++;
}
else {
arr[k] = R[j];
j++;
}
k++;
}
while (i < n1) {
arr[k] = L[i];
i++;
k++;
}
while (j < n2) {
arr[k] = R[j];
j++;
k++;
}
}
void mergeSort(int arr[], int l, int r)
{
if (l < r) {
int m = l + (r - l) / 2;
mergeSort(arr, l, m);
mergeSort(arr, m + 1, r);
merge(arr, l, m, r);
}
}
int main()
{
int arr[] = { 12, 11, 13, 5, 6, 7 };
int arr_size = sizeof(arr) / sizeof(arr[0]);
int k = 3;
mergeSort(arr, 0, arr_size - 1);
printf("K-th Maximum element : %d\n", arr[arr_size-k]);
printf("K-th Minimum element : %d", arr[k-1]);
return 0;
} Output
K-th Maximum element : 11 K-th Minimum element : 7
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