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| #include <bits/stdc++.h>
#pragma optimization_level 3 #pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math,O3") #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx") #pragma GCC optimize("Ofast") #pragma GCC target("avx,avx2,fma") #pragma GCC optimization ("unroll-loops")
struct PairHash {inline std::size_t operator()(const std::pair<int,int> & v) const {return v.first*31+v.second;}};
#define MAX_N 252525 #define INF 987654321 #define EPS 1e-9 #define ll long long #define pll pair<ll, ll> #define vpll vector<pll> #define vall3 vector<array<ll,3>> #define all3 array<ll,3> #define all5 array<ll,5> #define vall5 vector<all5> #define vll vector<ll> #define vi vector<int> #define vs vector<string> #define usll unordered_set<ll> #define uspll unordered_set<pll, PairHash> #define umll unordered_map<ll,ll> #define vvs vector<vs> #define vvll vector<vll> #define all(a) begin(a), end(a) #define rall(a) rbegin(a), rend(a)
ll __gcd(ll x, ll y) { return !y ? x : __gcd(y, x % y); }
using namespace std;
ll solve(vll& A, vll& B) { ll res = accumulate(all(B), 0ll), n = A.size(), sum = res; vpll C(n); for(ll i = 0; i < n; i++) C[i] = {A[i], B[i]}; sort(all(C)); ll l = 0, r = 0; while(r < n) { while(r < n and C[l].first == C[r].first) { sum -= C[r++].second; } res = min(res, max(sum, C[l].first)); l = r; } return res; } int main() { ios_base::sync_with_stdio(0); ios::sync_with_stdio(0); cin.tie(0); ll tc = 1; cin>>tc; for(ll i = 1; i <= tc; i++) { ll n; cin>>n; vll A(n), B(n); for(ll j = 0; j < n; j++) cin>>A[j]; for(ll j = 0; j < n; j++) cin>>B[j]; cout<<solve(A, B)<<endl; } return 0; }
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