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;
int N,Q;
const int INF=INT_MAX;
struct LazySegmentTree{
  private:
  int n;
  vector<int> node,lazy;
  vector<bool> lazyFlag;
  
  public:
  LazySegmentTree(vector<int> v){
    int sz=(int)v.size();
    n=1;  while(n<sz)n*=2;
    node.resize(2*n-1);
    lazy.resize(2*n-1,INF);
    lazyFlag.resize(2*n-1,false);
    for(int i=0;i<sz;i++)node[i+n-1]=v[i];
    for(int i=n-2;i>=0;i--){node[i]=min(node[2*i+1],node[2*i+2]);}
  }
  void lazyEvaluate(int k,int l,int r){
    if(lazyFlag[k]){
      node[k]=lazy[k];
      if(r-l>1){
        lazy[2*k+1]=lazy[2*k+2]=lazy[k];
        lazyFlag[2*k+1]=lazyFlag[2*k+2]=true;
      }
      lazyFlag[k]=false;
    }
  }
  void update(int a,int b,int x,int k=0,int l=0,int r=-1){
    if(r<0)r=n;
    lazyEvaluate(k,l,r);
    if(b<=l || r<=a)return;
    if(a<=l && r<=b){
      lazy[k]=x;
      lazyFlag[k]=true;
      lazyEvaluate(k,l,r);
    }
    else{
      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]);
    }
  }
  int find(int a,int b,int k=0,int l=0,int r=-1){
    if(r<0)r=n;
    lazyEvaluate(k,l,r);
    if(b<=l || r<=a)return INF;
    if(a<=l && r<=b)return node[k];
    int vl=find(a,b,2*k+1,l,(l+r)/2);
    int vr=find(a,b,2*k+2,(l+r)/2,r);
    return min(vl,vr);
  }
};

int main(){
  cin >> N >> Q;
  LazySegmentTree seg(vector<int>(N,INF));
  for(int i=0;i<Q;i++){
    int q,s,t; cin >> q >> s >> t;
    if(q==0){
      int x; cin >> x;
      seg.update(s,t+1,x);
    }
    else{
      cout << seg.find(s,t+1) << endl;
    }
  }
}