Go: package main

// packed from [splaytree.go main.rmq.go splaytree_debug.go] with goone.

import (
	"bufio"
	"fmt"
	"io"
	"os"
	"strconv"
	"strings"
)

type SplayTreeNode struct {
	parent, left, right *SplayTreeNode

	size    int
	value   int
	minimum int
}

func newSplayTreeNode(v int) *SplayTreeNode {
	return &SplayTreeNode{value: v}
}

func (node *SplayTreeNode) rotate() {
	var pp, p, c *SplayTreeNode
	p = node.parent
	pp = p.parent
	if pp != nil && pp.left == p {
		pp.left = node
	}
	if pp != nil && pp.right == p {
		pp.right = node
	}
	node.parent = pp
	if p.left == node {
		c = node.right
		node.right = p
		p.left = c
	} else {
		c = node.left
		node.left = p
		p.right = c
	}
	p.parent = node
	if c != nil {
		c.parent = p
	}
	p.update()
	node.update()
}

func (node *SplayTreeNode) state() int {
	if node.parent == nil {
		return 0
	}
	if node.parent.left == node {
		return -1
	} else if node.parent.right == node {
		return 1
	}
	return 0
}

func (node *SplayTreeNode) splay() {
	for node.state() != 0 {
		if node.parent.state() == 0 {
			node.rotate()
			return
		}
		if node.state() == node.parent.state() {
			node.parent.rotate()
			node.rotate()
		} else {
			node.rotate()
			node.rotate()
		}
	}
}

func (node *SplayTreeNode) update() {
	node.size = 1
	node.minimum = node.value
	if node.left != nil {
		node.size += node.left.size
		node.minimum = min(node.minimum, node.left.minimum)
	}
	if node.right != nil {
		node.size += node.right.size
		node.minimum = min(node.minimum, node.right.minimum)
	}
}
func min(a, b int) int {
	if a < b {
		return a
	}
	return b
}

func (node *SplayTreeNode) Get(idx int) *SplayTreeNode {
	cur := node
	for true {
		lSize := 0
		if cur.left != nil {
			lSize = cur.left.size
		}
		if idx < lSize {
			cur = cur.left
		}
		if lSize == idx {
			cur.splay()
			return cur
		}
		if idx > lSize {
			cur = cur.right
			idx = idx - lSize - 1
		}
	}
	return nil
}

func mergeSplayNode(l, r *SplayTreeNode) (root *SplayTreeNode) {
	if l == nil {
		return r
	}
	if r == nil {
		return l
	}
	root = l.Get(l.size - 1)
	root.right = r
	r.parent = root
	root.update()
	return root
}

func (node *SplayTreeNode) Split(leftCount int) (left *SplayTreeNode, right *SplayTreeNode) {
	root := node.Get(leftCount)
	lRoot, rRoot := root.left, root

	rRoot.left = nil
	if lRoot != nil {
		lRoot.parent = nil
	}
	rRoot.update()
	return lRoot, rRoot
}

func splayTreeInsert(t *SplayTreeNode, idx int, node *SplayTreeNode) (root *SplayTreeNode) {
	l, r := t.Split(idx)
	return mergeSplayNode(
		mergeSplayNode(l, node),
		r,
	)
}

func removeSplayTree(t *SplayTreeNode, idx int) (root *SplayTreeNode, removed *SplayTreeNode) {
	target := t.Get(idx)
	l, r := target.left, target.right
	if l != nil {
		l.parent = nil
	}
	if r != nil {
		r.parent = nil
	}
	target.left = nil
	target.right = nil
	target.update()
	return mergeSplayNode(l, r), target
}

const (
	initialBufSize = 100000
	maxBufSize     = 1000000
)

var sc *bufio.Scanner

func initScanner(r io.Reader) *bufio.Scanner {
	buf := make([]byte, initialBufSize)

	sc := bufio.NewScanner(r)
	sc.Buffer(buf, maxBufSize)
	sc.Split(bufio.ScanWords)
	return sc
}

func main() {
	sc = initScanner(os.Stdin)
	resolve()
}

func resolve() {
	n := scanInt(sc)
	q := scanInt(sc)
	table := newDebugNodeSlice(200001)
	for i := 0; i < n; i++ {
		table.l[i].parent = &table.l[i+1]
		table.l[i+1].left = &table.l[i]
		table.l[i].update()
		table.l[i+1].update()
	}
	var root *SplayTreeNode = &table.l[n]
	for i := 0; i < n; i++ {
		table.l[i].value = scanInt(sc)
		table.l[i].update()
	}
	table.l[n].update()
	for i := 0; i < q; i++ {
		switch scanInt(sc) {
		case 0:
			root = shift(root, scanInt(sc), scanInt(sc))
		case 1:
			l := scanInt(sc)
			r := scanInt(sc)
			tmp, rRoot := root.Split(r + 1)
			lRoot, cRoot := tmp.Split(l)
			fmt.Println(cRoot.minimum)
			root = mergeSplayNode(mergeSplayNode(lRoot, cRoot), rRoot)
		case 2:
			root = root.Get(scanInt(sc))
			root.value = scanInt(sc)
			root.update()
		}
	}
}


C++: #include "../../template/tmpl.cpp"

//insert - erase
template<typename T> struct TreapRMQ{
public:
	struct Node{
		T v;int p;// 値,優先度
		int sz,mv;//部分木のサイズ,最小値
		Node *l,*r;// l,r
		Node(T v,int p):v(v),p(p),sz(1),mv(v){
			l=r=NULL;
		}
	};

	unsigned size(){return size(root);}
	unsigned size(Node* t){return !t?0:t->sz;}
	T mv(Node* t){return !t?INF<T>():t->mv;}

	Node* root;
	TreapRMQ():root(NULL){};

	Node* update(Node* t){
		t->sz=size(t->l)+size(t->r)+1;
		t->mv=min(min(mv(t->l),mv(t->r)),t->v);
		return t;
	}

	Node* merge(Node* l,Node* r){
		if(!l || !r)return l?l:r;
		
		if(l->p > r->p){
			l->r = merge(l->r,r);
			return update(l);
		}else{
			r->l = merge(l,r->l);
			return update(r);
		}
	}

	pair<Node*,Node*> split(Node* t,unsigned k){//[0,k) [k,n)
		if(!t)return make_pair((Node*)NULL,(Node*)NULL);
		if(k<=size(t->l)){
			auto s=split(t->l,k);
			t->l=s.second;
			return make_pair(s.first,update(t));
		}else{
			auto s=split(t->r,k - (size(t->l)+1));
			t->r=s.first;
			return make_pair(update(t),s.second);
		}
	}

	Node* insert(unsigned k,T v){return root=insert(root,k,v,rand());}
	Node* insert(Node* t,unsigned k,T v,int p){
		pair<Node*,Node*> s=split(t,k);
		t=merge(s.first,new Node(v,p));
		t=merge(t,s.second);
		return update(t);
	}

	Node* erase(unsigned k){return root=erase(root,k);}
	Node* erase(Node* t,unsigned k){
		pair<Node*,Node*> sr=split(t,k+1),sl=split(sr.first,k);	
		t = merge(sl.first,sr.second);
		return update(t);
	}

	Node* find(unsigned k){
		Node* v=root;
		while(v){
			unsigned cl=size(v->l);
			if(k==cl)return v;
			else if(k<cl) v=v->l;
			else {
				v=v->r;
				k -= cl+1;
			}
		}
		return v;
	}

  	// Node *find(Node *t, int k){
   //      int c = count(t->lch);
   //      if(k <  c) return find(t->lch, k);
   //      if(k == c) return t;
   //      return find(t->rch, k - c - 1);
   //  }
   //  Node *find(int k){ return find(root, k); }
    

	Node* shift(unsigned l,unsigned r){
		pair<Node*,Node*> s1,s2,s3;
		s3=split(root,r);s2=split(s3.first,r-1);s1=split(s2.first,l);
		return root=update(merge(merge(merge(s1.first,s2.second),s1.second),s3.second));
	}

	T query(int l,int r){return query(l,r,root);}

	T query(int l,int r,Node* t){
		int sz=size(t);
		if(sz<=l || r<=0)return INF<T>();
		if(l<=0 && sz<=r)return mv(t);

		int c=size(t->l);
		T res=min(query(l,r,t->l),query(l-c-1,r-c-1,t->r));
		if(l<=c && c < r)res=min(res,t->v);
		return res;
	}
};

int main(){
	ios::sync_with_stdio(false);
	cin.tie(0);
	int n,q;
	TreapRMQ<int> t;

	cin >> n >> q;
	REP(i,n){
		int a;cin >> a;t.insert(i,a);
	}

	while(q--){
		int x,y,z;cin >> x >> y >> z;
		if(x==2){
			t.erase(y);t.insert(y,z);
		}else if(x==1){

			cout << t.query(y,z+1)<<endl;
		}else{
			t.shift(y,z+1);
		}
	}
}