Problem: Write a program which manipulates a sequence A = {a0, a1, . . . , an−1} with the following operations:

* update(s, t, x): change as, as+1, ..., at to x.
* find(s, t): report the minimum element in as, as+1, ..., at.



Note that the initial values of ai (i = 0, 1, . . . , n−1) are 231-1.

Constraints

* 1 ≤ n ≤ 100000
* 1 ≤ q ≤ 100000
* 0 ≤ s ≤ t < n
* 0 ≤ x < 231−1

Input


n q
query1
query2
:
queryq


In the first line, n (the number of elements in A) and q (the number of queries) are given. Then, ith query queryi is given in the following format:


0 s t x


or


1 s t


The first digit represents the type of the query. '0' denotes update(s, t, x) and '1' denotes find(s, t).

Output

For each find operation, print the minimum value.

Examples

Input

3 5
0 0 1 1
0 1 2 3
0 2 2 2
1 0 2
1 1 2


Output

1
2


Input

1 3
1 0 0
0 0 0 5
1 0 0


Output

2147483647
5

Solution (in CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;

struct Data {
	using type = int;
	type val, lazy;

	static type id() { return INT_MAX; }
	static type op(const type& l, const type & r) { return min(l, r); }

	Data(type v) : val(v), lazy(-1) {}
	void update(type a) { lazy = a; }
	type get() { return lazy == -1 ? val : lazy; }
	void push() {
		if (lazy == -1) return;
		val = lazy;
	}
	void push(Data& l, Data& r) {
		if (lazy == -1) return;
		val = lazy;
		l.lazy = lazy;
		r.lazy = lazy;
	}
};

template <typename M>
class LazySegmentTree {
	using T = typename M::type;
	const int n;
	vector<M> data;
	int size(int n) {
		int res = 1;
		while (res < n) res <<= 1;
		return res;
	}
	void suc(int l, int r, int node, int lb, int ub, T val) {
		if (ub <= l || r <= lb) return;
		if (ub - lb > 1) data[node].push(data[node * 2], data[node * 2 + 1]);
		if (l <= lb && ub <= r) {
			data[node].update(val);
			return;
		}
		int c = (lb + ub) / 2;
		suc(l, r, node * 2, lb, c, val);
		suc(l, r, node * 2 + 1, c, ub, val);
		data[node] = M::op(data[node * 2].get(), data[node * 2 + 1].get());
	}
	T sub(int l, int r, int node, int lb, int ub) {
		if (ub <= l || r <= lb) return M::id();
		if (l <= lb && ub <= r) return data[node].get();
		data[node].push(data[node * 2], data[node * 2 + 1]);
		int c = (lb + ub) / 2;
		return M::op(sub(l, r, node * 2, lb, c), sub(l, r, node * 2 + 1, c, ub));
	}
public:
	LazySegmentTree(int n_) : n(size(n_)), data(n * 2, M::id()) {}
	void init(const vector<T>& data_) {
		for (int i = 0; i < (int)data_.size(); i++)
			data[i + n] = data_[i];
		for (int i = n - 1; i >= 0; i--)
			data[i] = M::op(data[i * 2], data[i * 2 + 1]);
	}
	void update(int l, int r, T val) {
		suc(l, r + 1, 1, 0, n, val);
	}
	T find(int l, int r) {
		return sub(l, r + 1, 1, 0, n);
	}
};

int main()
{
	ios::sync_with_stdio(false), cin.tie(0);
	int n, q, com, x, y, val;
	cin >> n >> q;
	LazySegmentTree<Data> st(n);
	while (q--) {
		cin >> com >> x >> y;
		if (com) {
			printf("%d\n", st.find(x, y));
		}
		else {
			cin >> val;
			st.update(x, y, val);
		}
	}
	return 0;
}