#include <bits/stdc++.h>
#define pb push_back
#define sz(x) (int)x.size()
#define all(x) x.begin(), x.end()
#define f first
#define s second
#define int long long
using namespace std;
using ll = long long;
using pii = pair <int, int>;
const int N = 2e5 + 5;
const ll inf = 1e18;
int n, q;
ll a[N], b[N], t[N * 4], lz1[N * 4], lz2[N * 4];
ll p[N];
void push(int v) {
	assert(!lz2[v] || lz1[v] == -inf);
	if (lz2[v]) {
		lz2[2 * v] += lz2[v];
		lz2[2 * v + 1] += lz2[v];
		lz1[2 * v] = lz1[2 * v + 1] = -inf;
		t[2 * v] += lz2[v];
		t[2 * v + 1] += lz2[v];
		lz2[v] = 0;
	}
	if (lz1[v] != -inf) {
		lz1[2 * v] = lz1[2 * v + 1] = lz1[v];
		lz2[2 * v] = lz2[2 * v + 1] = 0;
		t[v * 2] = t[v * 2 + 1] = lz1[v];
		lz1[v] = -inf;
	}
}
void assign(int l, int r, ll x, int v = 1, int tl = 1, int tr = n) {
	if (l > tr || r < tl)
		return;
	if (l <= tl && tr <= r) {
		t[v] = x;
		lz1[v] = x;
		lz2[v] = 0;
		return;
	}
	int tm = (tl + tr) / 2;
	push(v);
	assign(l, r, x, v * 2, tl, tm);
	assign(l, r, x, v * 2 + 1, tm + 1, tr);
}
void add(int l, int r, int x, int v = 1, int tl = 1, int tr = n) {
	if (l > tr || r < tl)
		return;
	if (l <= tl && tr <= r) {
		t[v] += x;
		if (lz1[v] != -inf)
			lz1[v] += x;
		else 
			lz2[v] += x;
		return;
	}
	int tm = (tl + tr) / 2;
	push(v);
	add(l, r, x, v * 2, tl, tm);
	add(l, r, x, v * 2 + 1, tm + 1, tr);
}
ll get(int x, int v = 1, int tl = 1, int tr = n) {
	if (tl == tr) 
		return t[v];
	int tm = (tl + tr) / 2;
	push(v);
	if (x <= tm)
		return get(x, v * 2, tl, tm);
	return get(x, v * 2 + 1, tm + 1, tr);
}
main() {
	ios :: sync_with_stdio(false);
	cin.tie(nullptr);
	cin >> n >> q;
	for (int i = 1; i <= 4 * n; ++i)
		lz1[i] = -inf;
	set <pii> st;
	for (int i = 1; i <= n; ++i) {
		cin >> a[i];
		assign(i, i, a[i]);
		st.insert({i, i});
	}
	for (int i = 1; i <= n; ++i) {
		cin >> b[i];
		p[i] = p[i - 1] + b[i];
	}
	while (q--) {
		int tp;
		cin >> tp;
		if (tp == 1) {
			int l, r, x;
			cin >> l >> r >> x;
			
			auto lb = st.lower_bound({l, 0});
			auto rb = st.lower_bound({r + 1, 0});
			rb--;
			bool flag = 0;
			if (lb != st.begin()) {
				--lb;
				flag = (lb == rb);
				++lb;
			}
			if (flag) {
				lb--;
				auto [L, R] = *lb;
				st.erase(lb);
				if (L < l)
					st.insert({L, l - 1});
				if (r < R)
					st.insert({r + 1, R});
				st.insert({l, r});
			}
			else {
				if (lb != st.begin()) {
					lb--;
					if (lb -> s >= l) {
						auto [L, R] = *lb;
						//[lb -> f, l - 1]
						//[l, lb -> s]
						st.erase(lb);
						st.insert({l, R});
						if (L < l) st.insert({L, l - 1});
					}
				}
				rb = st.lower_bound({r + 1, 0});
				rb--;
				auto [L, R] = *rb;
				st.erase(rb);
				st.insert({L, r});
				if (r < R)
					st.insert({r + 1, R});
			}
			add(l, r, x);
		}
		else {
			int l, r;
			cin >> l >> r;
			vector <pii> vec;
			vector <ll> vals;
			{
				auto lb = st.lower_bound({l, 0});
				auto rb = st.lower_bound({r + 1, 0});
				rb--;
				
				bool flag = 0;
				if (lb != st.begin()) {
					--lb;
					flag = (lb == rb);
					++lb;
				}
				if (flag) {
					--lb;
					auto [L, R] = *lb;
					st.erase(lb);
					if (L < l)
						st.insert({L, l - 1});
					if (r < R)
						st.insert({r + 1, R});
				}
				else {
					if (lb != st.begin()) {
						lb--;
						if (lb -> s >= l) {
							auto [L, R] = *lb;
							//[lb -> f, l - 1]
							//[l, lb -> s]
							vec.pb({l, R});
							st.erase(lb);
							if (L < l) st.insert({L, l - 1});
						}
					}
					rb = st.lower_bound({r + 1, 0});
					rb--;
					auto [L, R] = *rb;
					vec.pb({L, r});
					st.erase(rb);
					if (r < R)
						st.insert({r + 1, R});
				}
			}
			auto lb = st.lower_bound({l, 0});
			while (lb != st.end() && lb -> s <= r) {
				vec.pb(*lb);
				lb = st.erase(lb);
			}
			st.insert({l, r});
			ll tot = p[r] - p[l - 1];
			for (auto [i, j] : vec) {
				vals.pb(get(i));
			}
			vector <int> order;
			for (int i = 0; i < sz(vec); ++i) 
				order.pb(i);
			sort(all(order), [&] (int x, int y) {
				return vals[x] < vals[y];
			});
			ll cur = 0, x = 0;
			for (auto i : order) {
				auto [L, R] = vec[i];
				cur += p[R] - p[L - 1];
				if (cur >= (tot + 1) / 2) {
					x = vals[i];
					break;
				}
			}
			cout << x << '\n';
			assign(l, r, x);
		}
		
		
	}
	return 0;
}