C.cpp

/*
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       \    \      :    :
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         ,-;    \---)_\ ,','/
         \_ `---'--'" ,'^-;'
         (_`     ---'" ,-')
         / `--.__,. ,-'    \
-hrr-    )-.__,-- ||___,--' `-.
        /._______,|__________,'\
        `--.____,'|_________,-'

                             __
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   /        (____)(----. )       ,'
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 |         ,'      `--.      -,\ |
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    \    ,'   `-.     ,'_,-'    \
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    \       /  // ,'|      ,--'  `-.
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        `-._ /      `--'/             \
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          /             |               \
       ,-'              |               /
      /                 |             -'

*/

#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp> // Common file
#include <ext/pb_ds/tree_policy.hpp> // Including 

using namespace __gnu_pbds;
using namespace std;


typedef long long int ll;
typedef pair<int, int> pi;
typedef pair<ll, ll> pl;
typedef vector<int> vi;
typedef vector<ll> vl;
typedef vector<vi> vvi;
typedef vector<vl> vvl;
typedef vector<pi> vpi;
typedef vector<pl> vpl;
typedef vector<vpi> vvpi;
typedef vector<vpl> vvpl;
typedef set<int> si;
typedef multiset<int> msi;
typedef set<ll> sl;
typedef multiset<ll> msl;
typedef tree<
int,
null_type,
less<int>,
rb_tree_tag,
tree_order_statistics_node_update>
ordered_set;

template<class T> using func = function<T>;

#define clrcin cin.ignore(numeric_limits<streamsize>::max(),'\n');
#define GOGOGO ios::sync_with_stdio(false); cin.tie(nullptr);
#define BYEBYE return 0;

#define all(cn) (cn).begin(), (cn).end()
#define rep(i, n) for (int i = 0; i < n; ++i)
#define repk(i, k, n) for(int i = k; i < n; ++i)

#define mp make_pair
#define pb push_back
#define fi first
#define se second

#define popcnt __builtin_popcount
#define gcd std::__detail::__gcd
#define lcm std::__detail::__lcm

const int INFI = 1e9 + 5;
const ll INFL = 4e18 + 5;

template<class T> void aread(T* arr, int ___n)
{
    rep(i, ___n)
    {
        cin >> arr[i];
    }
}


// LIORZ LIORZ LIORZ LIORZ LIORZ


































const int maxn = 2e5+ 5;


ll a[maxn];
ll b[maxn];
ll id[maxn];
int n;
#define BRUH_WHY_TESTCASES
void solve()
{
    cin >> n;
    rep(i, n)
    {
        cin >> a[i];
    }
    ll bsm  = 0;
    rep(i, n)
    {
        cin >> b[i];
        bsm += b[i];
    }
    rep(i, n)
    {
        id[i] = i;
    } 
    sort(id, id +n, [&](int c, int d) {return a[c] < a[d];});
    ll ans = bsm;
    rep(i, n)
    {
        bsm -= b[id[i]];
        ans = min(ans, max(bsm, a[id[i]]));
    }
    cout << ans << '\n';


}










































int main()
{
    GOGOGO
    int t=1;
    #ifdef BRUH_WHY_TESTCASES
        cin >> t;
    #endif
    while(t--)
    {
        solve();
    }
    BYEBYE
}

/* PLEASE READ THIS
* N = 1
* GUESS A!!!!!!!
* DO SOMETHING INSTEAD OF NOTHING
*/