#include <stdio.h>
#include<stdbool.h>
void swap(int* a, int* b) {
int temp = *a;
*a = *b;
*b = temp;
}
void printArray(int arr[], int size) {
for (int i = 0; i < size; i++) {
printf("%d ", arr[i]);
}
printf("\n");
}
int partition(int arr[], int low, int high) {
int pivot = arr[low];
int i = low + 1;
int j = high;
while (1) {
while (arr[i] < pivot && i <= high) {
i++;
}
while (arr[j] > pivot && j >= low + 1) {
j--;
}
if (i >= j) {
break;
}
swap(&arr[i], &arr[j]);
printArray(arr, high + 1);
}
swap(&arr[low], &arr[j]);
printArray(arr, high + 1);
return j;
}
void quickSort(int arr[], int low, int high) {
if (low < high) {
int pivot_index = partition(arr, low, high);
quickSort(arr, low, pivot_index - 1);
quickSort(arr, pivot_index + 1, high);
}
}
int findPivotPos(int array[],int arrStart,int arrEnd){
int arrLen=arrEnd-arrStart;
int mid=arrStart+arrLen/2;
int min=arrStart;
int max=arrEnd-1;
if(array[min]>array[mid]){
int temp=min;
min=mid;
mid=temp;
}
if(array[mid]>array[max]){
int temp=mid;
mid=max;
max=mid;
}
if(array[min]>array[mid]){
int temp=min;
min=mid;
mid=temp;
}
return mid;
}
bool findKthValue(int array[],int arrStart,int arrEnd,int k){
int arrLen=arrEnd-arrStart;
if(arrLen<0 || k<arrStart || k>=arrEnd){
printf("Please check your input");
return false;
}
if(arrLen==1 && arrStart == k){
return true;
}
int pivotPos=findPivotPos(array,arrStart,arrEnd);
int pivotOrderedPos=partition(array,arrStart,arrEnd);
if(k==pivotOrderedPos){
return true;
}
bool ret=false;
if(k<pivotOrderedPos){
ret=findKthValue(array,arrStart,pivotOrderedPos,k);
}else{
ret=findKthValue(array,pivotOrderedPos+1,arrEnd,k);
}
return ret;
}
int main () {
int arr[] = {10, 7, 8, 9, 1, 5};
findKthValue(arr,0,5,3);
return 0;
}