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>
#define rep(i,n)for(int i=0;i<(n);i++)
using namespace std;
#ifndef MAX
#define MAX 400000
#endif

//Range Update Query+Range Minimum Query
template<class T>
class RUQ_RMQ {
public:
	int n;
	T dat[MAX], lazy[MAX], DEFAULT;
	bool(*cmp)(T, T);
	void init(int n_,
		bool(*c)(T, T) = [](int a, int b) {return a < b; }, T d = INT_MAX) {
		cmp = c;
		DEFAULT = d;
		n = 1; while (n < n_)n <<= 1;
		for (int i = 0; i < 2 * n - 1; i++) {
			dat[i] = lazy[i] = DEFAULT;
		}
	}
	inline void push(int k) {
		if (lazy[k] == DEFAULT)return;
		dat[k] = lazy[k];
		if (k < n - 1) {
			lazy[k * 2 + 1] = lazy[k];
			lazy[k * 2 + 2] = lazy[k];
		}
		lazy[k] = DEFAULT;
	}
	inline void update_node(int k) {
		if (cmp(dat[k * 2 + 1], dat[k * 2 + 2]))dat[k] = dat[k * 2 + 1];
		else dat[k] = dat[k * 2 + 2];
	}
	inline void update(int a, int b, T x, int k, int l, int r) {
		push(k);
		if (r <= a || b <= l)return;
		if (a <= l&&r <= b) {
			lazy[k] = x; push(k); return;
		}
		update(a, b, x, k * 2 + 1, l, (l + r) / 2);
		update(a, b, x, k * 2 + 2, (l + r) / 2, r);
		update_node(k);
	}
	inline T query(int a, int b, int k, int l, int r) {
		push(k);
		if (r <= a || b <= l)return DEFAULT;
		if (a <= l&&r <= b)return dat[k];
		T lb = query(a, b, k * 2 + 1, l, (l + r) / 2);
		T rb = query(a, b, k * 2 + 2, (l + r) / 2, r);
		update_node(k);
		if (cmp(lb, rb))return lb;
		return rb;
	}
	inline void update(int a, int b, T x) {
		update(a, b, x, 0, 0, n);
	}
	inline void update(int a, T x) {
		update(a, a + 1, x);
	}
	inline T query(int a, int b) {
		return query(a, b, 0, 0, n);
	}
	inline T query(int a) {
		return query(a, a + 1);
	}
};
RUQ_RMQ<int>seg;
int main() {
	int n, q; scanf("%d%d", &n, &q);
	seg.init(n);
	rep(i, q) {
		int a, s, t; scanf("%d%d%d", &a, &s, &t); t++;
		if (a == 0) {
			int x; scanf("%d", &x);
			seg.update(s, t, x);
		}
		else {
			printf("%d\n", seg.query(s, t));
		}
	}
}