A10874. Periodic RMQ Problem

You are given an array $a$ consisting of positive integers and $q$ queries to this array. There are two types of queries:

- $1$ $l$ $r$ $x$ — for each index $i$ such that $l<=i<=r$ set $a_{i}=x$ .
- $2$ $l$ $r$ — find the minimum among such $a_{i}$ that $l<=i<=r$ .

We decided that this problem is too easy. So the array $a$ is given in a compressed form: there is an array $b$ consisting of $n$ elements and a number $k$ in the input, and before all queries $a$ is equal to the concatenation of $k$ arrays $b$ (so the size of $a$ is $n·k$ ).

The first line contains two integers $n$ and $k$ ( $1<=n<=10^{5}$ , $1<=k<=10^{4}$ ).

The second line contains $n$ integers — elements of the array $b$ ( $1<=b_{i}<=10^{9}$ ).

The third line contains one integer $q$ ( $1<=q<=10^{5}$ ).

Then $q$ lines follow, each representing a query. Each query is given either as $1$ $l$ $r$ $x$ — set all elements in the segment from $l$ till $r$ (including borders) to $x$ ( $1<=l<=r<=n·k$ , $1<=x<=10^{9}$ ) or as $2$ $l$ $r$ — find the minimum among all elements in the segment from $l$ till $r$ ( $1<=l<=r<=n·k$ ).

For each query of type $2$ print the answer to this query — the minimum on the corresponding segment.