//#pragma GCC optimize("O3")

#include <bits/stdc++.h>
#include <random>
using namespace std;
 
typedef long long ll;
typedef long double ld;
typedef pair<int,int> pi;
typedef vector<int> vi; 
typedef vector<pi> vpi;

#define mp make_pair
#define f first
#define s second
#define sz(x) (int)x.size()
#define all(x) begin(x), end(x)
#define rsz resize
#define bk back()
#define pb push_back

#define FOR(i,a,b) for (int i = (a); i < (b); ++i)
#define For(i,a) FOR(i,0,a)
#define ROF(i,a,b) for (int i = (b)-1; i >= (a); --i)
#define Rof(i,a) ROF(i,0,a)
#define trav(a,x) for (auto& a: x)

const int MOD = 1e9+7;
const ld PI = acos((ld)-1);
mt19937 rng; // or mt19937_64
template<class T> bool ckmin(T& a, const T& b) { 
	return b < a ? a = b, 1 : 0; }

void DBG() { cerr << "]" << endl; }
template<class H, class... T> void DBG(H h, T... t) {
	cerr << h; if (sizeof...(t)) cerr << ", ";
	DBG(t...); }
#ifdef LOCAL // compile with -DLOCAL
#define dbg(...) cerr << "LINE(" << __LINE__ << ") -> [" << #__VA_ARGS__ << "]: [", DBG(__VA_ARGS__)
#else
#define dbg(...) 0
#endif

void solve() {
	int m;cin>>m;
	vi a(m),b(m);
	ll sum1=0,sum2=0;
	int larg1=0, larg2=0;
	For(i,m)cin>>a[i], sum1+=a[i];
	For(i,m)cin>>b[i], sum2+=b[i];
	// if(sum2>sum1) swap(a,b);
	For(i,m) if(a[i]) larg1 = max(larg1,i);
	For(i,m) if(b[i]) larg2 = max(larg2,i);
	a[0] = MOD, b[0]=MOD;

	// greedy pairs that sum to m-1
	set<int> avail;	
	For(i,m)if(a[i])avail.insert(i);
	bool carryable = false;
	bool dones = false;
	ll ans = 0;
	int mnUse = MOD;
	
	For(i,m) if(b[i]) {
		bool flag = false;
		while(b[i]) {
			auto it = avail.lower_bound(m-1-i);
			if(it==avail.end()) {
				// can just use this b to carry if used before elsewhere
				if(!carryable && dones) carryable = true;
				break;
			}
			
			flag = true;
			int val = *it;
			ll tmp = min(a[val], b[i]);
			b[i] -= tmp;
			assert(a[val]);
			a[val] -= tmp;
			ans += tmp;

			if(tmp) mnUse = min(mnUse, val);
			// this (i,val) pair can be my carry
			if(tmp && i+val>m-1) carryable = true;
			if(!a[val]) avail.erase(val);
		}
		if(flag) dones = true;
	}
	// have more a's left
	if(sz(avail) && *avail.rbegin() > mnUse) carryable = true;
	if(carryable) {
		cout << ans << '\n';

	} else {
		if(larg1 + larg2 >=m ) {
			// have to sack 1
			cout << ans-1 << '\n';
		} else {
			cout << 0 << '\n';
		}
			
	}


	

}
int main() {
	ios_base::sync_with_stdio(0); cin.tie(0); 
	int t;cin>>t;
	For(i,t) solve();
}


/* stuff you should look for
	* int overflow, array bounds
	* special cases (n=1?)
	* do smth instead of nothing and stay organized
	* WRITE STUFF DOWN



		avail.clear();
		For(i,m) a[i]=c[i], b[i] = d[i];
		For(i,m)if(a[i])avail.insert(i);

		ans = 0;
		bool flag = false;
		FOR(zz,m,2*m) {
			For(i,m) if(b[i]) {
				auto it2 = avail.lower_bound(zz-i);
				if(it2 != avail.end()) {
					int val2 = *it2;
					if(b[i] && a[val2] && i+val2==zz) {
						ans++;
						b[i]--;
						a[val2]--;
						if(!a[val2]) avail.erase(val2);	
						flag = true;
						goto done;
					}
				}
			}	
		}
		done:;
		
		if(!flag) {
			cout << 0 << '\n';
			return;
		}

		For(i,m) if(b[i]) {
			while(b[i]) {
				auto it = avail.lower_bound(m-1-i);
				if(it==avail.end()) {
					break;
				}
				
				int val = *it;
				ll tmp = min(a[val], b[i]);
				dbg(i,val,a[val], b[i], tmp);
				b[i] -= tmp;
				a[val] -= tmp;
				ans += tmp;
				
				if(i+val>m-1) carryable = true;
				if(!a[val]) avail.erase(val);
			}
		}
		dbg("B");
		cout << ans << '\n';

*/