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 SegmentTree
{
  vector< int > seg, lazy;
  int sz;

  SegmentTree(int n)
  {
    sz = 1;
    while(sz < n) sz <<= 1;
    seg.assign(2 * sz - 1, 2147483647);
    lazy.assign(2 * sz - 1, -1);
  }

  void push(int k)
  {
    if(~lazy[k]) {
      seg[k] = lazy[k];
      if(k < sz - 1) lazy[2 * k + 1] = lazy[2 * k + 2] = lazy[k];
      lazy[k] = -1;
    }
  }

  void update(int a, int b, int x, int k, int l, int r)
  {
    push(k);
    if(a >= r || b <= l) return;
    if(a <= l && r <= b) {
      lazy[k] = x;
      push(k);
      return;
    }
    update(a, b, x, 2 * k + 1, l, (l + r) >> 1);
    update(a, b, x, 2 * k + 2, (l + r) >> 1, r);
    seg[k] = min(seg[2 * k + 1], seg[2 * k + 2]);
  }

  void update(int a, int b, int x)
  {
    update(a, b, x, 0, 0, sz);
  }

  int query(int a, int b, int k, int l, int r)
  {
    push(k);
    if(a >= r || b <= l) return (2147483647);
    if(a <= l && r <= b) return (seg[k]);
    return (min(query(a, b, 2 * k + 1, l, (l + r) >> 1),
                query(a, b, 2 * k + 2, (l + r) >> 1, r)));
  }

  int query(int a, int b)
  {
    return (query(a, b, 0, 0, sz));
  }
};

int main()
{
  int N, Q;
  scanf("%d %d", &N, &Q);
  SegmentTree tree(N);
  while(Q--) {
    int t;
    scanf("%d", &t);
    if(t == 0) {
      int s, t, x;
      scanf("%d %d %d", &s, &t, &x);
      tree.update(s, ++t, x);
    } else {
      int s, t;
      scanf("%d %d", &s, &t);
      printf("%d\n", tree.query(s, ++t));
    }
  }
}