Problem8641--DSL_2_F : RMQ and RUQ

8641: DSL_2_F : RMQ and RUQ

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Time Limit : 1.000 sec  Memory Limit : 256 MiB

Description

Write a program which manipulates a sequence A = {$a_0,a_1,...,a_{n−1}$} with the following operations:

  • update(s,t,x): change $a_s, a_{s+1}, ..., a_t$ to x.
  • find(s,t): report the minimum element in $a_s, a_{s+1}, ..., a_t$.

Note that the initial values of $a_i\ (i=0,1,...,n−1)$ are $2^{31}-1$.

Input

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.

Constraints

$1≤n≤100,000$
$1≤q≤100,000$
$0≤s≤t<n$
$0≤x<2^{31}−1$

Sample 1 Input

3 5
0 0 1 1
0 1 2 3
0 2 2 2
1 0 2
1 1 2

Sample 1 Output

1
2

Sample 2 Input

1 3
1 0 0
0 0 0 5
1 0 0

Sample 2 Output

2147483647
5

HINT

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