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;
typedef long long ll;
const int INF=INT_MAX;
struct segtree
{
    vector<int> node;
    vector<int> lazy;
    vector<bool> lflg;
    int n;
    segtree(int sz)
    {
        n=1;while(n<sz) n*=2;
        node.resize(2*n,INF);
        lazy.resize(2*n,0);
        lflg.resize(2*n,false);
    }
    void lazyupdate(int k, int l, int r)
    {
        if(lflg[k])
        {
            node[k]=lazy[k];
            push(lazy[k],k,l,r);
            lazy[k]=0;
            lflg[k]=false;
        }
    }
    void push(int v,int k,int l,int r)
    {
        if(r-l>0)
        {
            lazy[2*k]=lazy[2*k+1]=v;
            lflg[2*k]=lflg[2*k+1]=true;
        }
    }
    void update(int qa, int qb, int v, int k=1, int l=1,int r=-1)
    {
        if(r<0) r=n;
        lazyupdate(k, l, r);
        if(qb<l||r<qa) return;
        if(qa<=l&&r<=qb)
        {
            node[k]=v;
            push(v,k,l,r);
        }
        else
        {
            int m=(l+r)/2;
            update(qa,qb,v,2*k,l,m);
            update(qa,qb,v,2*k+1,m+1,r);
            node[k]=min(node[2*k],node[2*k+1]);
        }
    }
    int get(int qa, int qb, int k=1, int l=1, int r=-1)
    {
        if(r<0) r=n;
        lazyupdate(k ,l, r);
        if(qb<l||r<qa) return INF;
        if(qa<=l&&r<=qb) return node[k];
        else
        {
            int m=(l+r)/2;
            int lv=get(qa, qb, 2*k, l, m);
            int rv=get(qa, qb, 2*k+1, m+1, r);
            return min(lv,rv);
        }
    }
};

int main()
{
    int n,q;
    scanf("%d %d",&n,&q);
    segtree tree(n);
    for(int i=0;i<q;i++){
        int c;
        scanf("%d",&c);
        if(c){
            int x,y;
            scanf("%d %d",&x,&y);
            cout<<tree.get(x+1,y+1)<<endl;
        }else{
            int s,t,v;
            scanf("%d %d %d",&s,&t,&v);
            tree.update(s+1,t+1,v);
        }
    }
}