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<iostream>
#include<string>
#include<algorithm>
#include<vector>
#include<iomanip>
#include<math.h>
#include<complex>
#include<queue>
#include<deque>
#include<stack>
#include<map>
#include<set>
#include<bitset>
using namespace std;
#define REP(i,m,n) for(int i=(int)m ; i < (int) n ; ++i )
#define rep(i,n) REP(i,0,n)
typedef long long ll;
typedef pair<int,int> pint;
typedef pair<ll,int> pli;
const int inf=1e9+7;
const ll longinf=1LL<<60 ;
const ll mod=1e9+7 ;

struct LazySegmentTree{
    int n;
    vector<ll> lazy,node;
    LazySegmentTree(int sz,ll init=0){
        n=1;
        while(n<sz)n*=2;
        lazy.assign(2*n,-1);
        node.assign(2*n,init);
    }

    void eval(int k){
        if(lazy[k]==-1)return;
        node[k]=lazy[k];
        if(k<n){
            lazy[2*k+1]=lazy[k];
            lazy[2*k+2]=lazy[k];
        }
        lazy[k]=-1;
    }

    void update(int a,int b,ll x,int k=0,int l=0,int r=-1){
        eval(k);
        if(r<0)r=n;
        if(r<=a||b<=l)return;
        if(a<=l&&r<=b){
            lazy[k]=x;
            eval(k);
            return;
        }
        update(a,b,x,2*k+1,l,(l+r)/2);
        update(a,b,x,2*k+2,(l+r)/2,r);
        node[k]=min(node[2*k+1],node[2*k+2]);
    }

    ll get(int a,int b,int k=0,int l=0,int r=-1){
        eval(k);
        if(r<0)r=n;
        if(r<=a||b<=l)return longinf;
        if(a<=l&&r<=b){
            return node[k];
        }
        ll xl=get(a,b,2*k+1,l,(l+r)/2);
        ll xr=get(a,b,2*k+2,(l+r)/2,r);
        return min(xl,xr);
    }
};
int main(){
    int n,q;
    cin>>n>>q;
    LazySegmentTree sg(n,(1LL<<31)-1);
    while(q--){
        int c;
        cin>>c;
        if(c){
            int a,b;
            cin>>a>>b;
            cout<<sg.get(a,b+1)<<endl;
        }
        else{
            int a,b,x;
            cin>>a>>b>>x;
            sg.update(a,b+1,x);     
        }
    }
    return 0;
}