What is the relationship between this exercise and quickSort? Shouldn't it be placed in the next section on Dynamic programming?

#include <iostream>
#include <vector>
#include <algorithm>
using namespace std;
 
 
int aux(int v[],int len,int p1,int p2,int k)
{
    if (p1==len||p2==len) return 0;
    if (  (v[p2]-v[p1])>=k  ) return len-p2+aux(v,len,p1+1,p1+2,k);
    else return aux(v,len,p1,p2+1,k);
}
 
 
 
void variation_v2()
{
    int len,k,count=0;
    cin>>len;
    cin>>k;
 
    int vec1[len];
    for (int i=0;i<len;i++){
        int v;

But in any case, the original function stores all the produced strings in S , so the space complexity should not be bound to the dimension of S that is exponential?