/// Write by Daniel Perez .PERAPRO
#include<bits/stdc++.h>

using namespace std;
#define fast_io ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
#define pb push_back
#define ff first
#define ss second
#define all(s) s.begin(), s.end()
#define mp make_pair
#define int long long
#define ll long long
// typedef unsigned long long ull;
typedef long double ld;
using vi=vector<int>;
using vl=vector<ll>;
using pii=pair<int,int>;
#define endl '\n'
char el = '\n';
char esp = ' ';


int cost [1000001] ; 
int cont [1000001] ; 
int ans [1000001] ; 
bool visit [1000001] ; 
int n , m , c ; 
bool bus ( int h ){
    int sum1 = 0 ; 
    for ( int i = 0 ; i <= m ; i++ ) visit [i] = 0 ;  
    int cont1 = 0 ; 
    priority_queue < pair < int , int > > q ; 
    for ( int i = 0 ; i <= h ; i++ ){
        q.push ( { 0 , i } ) ;
    }
    while ( !q.empty(  ) ){
        pair < int , int > k = q.top ( ) ;
        q.pop ( ) ;
        if ( visit [k.second] ) continue ; 
        visit [k.second] = true ;
        ans[k.second] = -k.first ;
        for ( int i = 0 ; i < cont[k.second] ; i++ ){
            sum1 += ans[k.second] ; 
            cont1++ ; 
            if ( sum1 > c ) return false;
            if ( cont1 == n / 2 + 1 ) return true ; 
        }
        for ( int i = 1 ; i <= m ; i++ ){
            int p = k.second * i ; 
            int sum = - ( (- ( k.first)) + cost[i] ) ; 
            if ( p > m ) break ; 
            for ( int d = 0 ; d < i ; d++ ){
                if ( p + d > m ) break ; 
                q.push (  {sum , p + d }) ;               
            }
        }
    }
    return false ; 
}

template<class T> bool ckmin(T& a, const T& b) { return b < a ? a = b, 1 : 0; }
template<class T> bool ckmax(T& a, const T& b) { return a < b ? a = b, 1 : 0; }

template<typename T>
ostream& operator<<(ostream& os, const vector<T> &v){
    for(auto const &i: v){
        os<<i<<" ";
    }
    os<<'\n';
    return os;
}
string yes="YES";
string no="NO";

int32_t main(){
	fast_io;
	/*
 	freopen("input.txt","r",stdin);
    freopen("output.txt","w",stdout);
    */
    int tc;
    cin>>tc;
    
    while(tc--){

        cin>>n>>m>>c ; 
        for ( int i = 0 ; i <= m ; i++ ) cont [i] = 0 ; 
        for ( int i = 0 ; i < n ; i++ ){
            int a ; 
            cin>>a ;
            cont[a]++ ; 
        }
        for ( int i = 1 ;i <= m ;i++){
            int a ; 
            cin>>a ; 
            cost[i] = a  ; 
        }
        int lo = 0 ;
        int hi = m+1 ; 
        int best = INT_MAX ; 
        while ( lo < hi ){
            int mid = ( lo + hi ) / 2 ;
            if ( bus ( mid ) ){
                best = min ( best , mid ) ; 
                hi = mid  ; 
            }
            else{
                lo = mid + 1 ; 
            }
        }
        cout<<best<<endl ; 
    }

}

/*

*/

answer.code: In function ‘bool bus(long long int)’:
answer.code:30:38: error: reference to ‘visit’ is ambiguous
   30 |     for ( int i = 0 ; i <= m ; i++ ) visit [i] = 0 ;
      |                                      ^~~~~
In file included from /usr/include/x86_64-linux-gnu/c++/11/bits/stdc++.h:133,
                 from answer.code:2:
/usr/include/c++/11/variant:1774:5: note: candidates are: ‘template<class _Res, class _Visitor, class ... _Variants> constexpr _Res std::visit(_Visitor&&, _Variants&& ...)’
 1774 |     visit(_Visitor&& __visitor, _Variants&&... __variants)
      |     ^~~~~
/usr/include/c++/11/variant:1734:5: note:                 ‘template<class _Visitor, class ... _Variants> constexpr std::__detail::__variant::__visit_result_t<_Visitor, _Variants ...> std::visit(_Visitor&&, _Variants&& ...)’
 1734 |     visit(_Visitor&& __visitor, _Variants&&... __variants)
      |     ^~~~~
answer.code:26:6: note:                 ‘bool visit [1000001]’
   26 | bool visit [1000001] ;
      |      ^~~~~
answer.code:39:14: error: reference to ‘visit’ is ambiguous
   39 |         if ( visit [k.second] ) continue ;
      |              ^~~~~
In file included from /usr/include/x86_64-linux-gnu/c++/11/bits/stdc++.h:133,
                 from answer.code:2:
/usr/include/c++/11/variant:1774:5: note: candidates are: ‘template<class _Res, class _Visitor, class ... _Variants> constexpr _Res std::visit(_Visitor&&, _Variants&& ...)’
 1774 |     visit(_Visitor&& __visitor, _Variants&&... __variants)
      |     ^~~~~
/usr/include/c++/11/variant:1734:5: note:                 ‘template<class _Visitor, class ... _Variants> constexpr std::__detail::__variant::__visit_result_t<_Visitor, _Variants ...> std::visit(_Visitor&&, _Variants&& ...)’
 1734 |     visit(_Visitor&& __visitor, _Variants&&... __variants)
      |     ^~~~~
answer.code:26:6: note:                 ‘bool visit [1000001]’
   26 | bool visit [1000001] ;
      |      ^~~~~
answer.code:40:9: error: reference to ‘visit’ is ambiguous
   40 |         visit [k.second] = true ;
      |         ^~~~~
In file included from /usr/include/x86_64-linux-gnu/c++/11/bits/stdc++.h:133,
                 from answer.code:2:
/usr/include/c++/11/variant:1774:5: note: candidates are: ‘template<class _Res, class _Visitor, class ... _Variants> constexpr _Res std::visit(_Visitor&&, _Variants&& ...)’
 1774 |     visit(_Visitor&& __visitor, _Variants&&... __variants)
      |     ^~~~~
/usr/include/c++/11/variant:1734:5: note:                 ‘template<class _Visitor, class ... _Variants> constexpr std::__detail::__variant::__visit_result_t<_Visitor, _Variants ...> std::visit(_Visitor&&, _Variants&& ...)’
 1734 |     visit(_Visitor&& __visitor, _Variants&&... __variants)
      |     ^~~~~
answer.code:26:6: note:                 ‘bool visit [1000001]’
   26 | bool visit [1000001] ;
      |      ^~~~~