trying to implement the hash table in cpp

#include<iostream>
#include<list>
#include<vector>
#include<cmath>
using namespace std;

class hashtable{
    public:

    list<string> table[5];
    int size;
    int elements_count;
    int collisions_count;

    void insert(string s){
    //consists in generating the hash function of the correspondent string and doing the push_back in table[hash]
        int h = hash(s);
        table[h].push_back(s);
        collisions_count++;

    }

    int hash(string s){
        int cont=0;
        int hax=0;
        int ind =0;
        int p=31; //arbitrary value that fits very well when equal to 31.
        for(int i=0;i<s.size();i++)
        {
            hax=int(hax+ int(s[i])*pow(p,cont))%size;
            cont++;
        };
        return hax;

    }

    void search(string s){
        int index = hash(s);
        int cont=0;
        for(auto x: table[index])
        {
            cont++;
            if(x == s)
            {
                cout<<s<<" encontrado(a) no index: "<<index<<" apos: "<<cont<<" acessos.";
                break;
            }
        }
    }

    void del(string s){




    }
    void print(){
        //just in case
        for(int i=0;i<size;i++)
        {
            for(auto d: table[i])
                cout<<d<<" ";
            cout<<", ";

        }
        cout<<endl;
    }
};

int main(void){
    hashtable h;
    h.size = 5;
    h.elements_count = 0;
    h.collisions_count=0;

    //time to learn to print an array of lists of strings :]
    //think we should start declaring one ;]
    int v=3;
    list<string>l[v];
    string au;
    getline(cin,au);
    h.insert(au);
    getline(cin,au);
    h.insert(au);
    getline(cin,au);
    h.insert(au);
    h.print();
    cout<<"insira uma palavra para ser buscada"<<endl;
    getline(cin,au);
    h.search(au);




    cout<<endl;
    //h.print();



return 0;
}