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<iostream>
#include<algorithm>
using namespace std;


#define INF (1<<30)

class Sequence{//AVLTree
	struct Node{
		int height;
		Node *left,*right;
		int size;
		int index,added;
		int val,minsub;
		
		Node(int k,int v)
			:height(1),index(k),added(0),left(0),right(0),size(1),val(v),minsub(v){}
		~Node(){
			if(left)delete left;
			if(right)delete right;
		}
		Node *rotate_right(){
			Node *s=left;
			int b=s->added,d=added;
			s->added += d;
			if(s->right)s->right->added += b;
			added += -b-d;
			left=s->right;
			s->right=this;
			return s;
		}
		Node *rotate_left(){
			Node *s=right;
			int b=s->added,d=added;
			s->added += d;
			if(s->left)s->left->added += b;
			added += -b-d;
			right=s->left;
			s->left=this;
			return s;
		}
		Node *insert(int k,int v){
			if(!this)return new Node(k,v);
			k-=added;
			if(k < index){
				left = left->insert(k,v);
			}else {//key < k
				right = right->insert(k,v);
			}
			return balance();
		}
		bool find(int k){
			if(!this)return false;
			k-=added;
			return k==index?
				true:k<index?left->find(k):right->find(k);
		}
		Node *erase(int k){
			if(!this)return NULL;
			k-=added;
			if(k==index){
				int a=added;
				Node *le=left,*ri=right;
				left=right=NULL;
				delete this;
				if(!le){
					if(ri)ri->added+=a;
					return ri;
				}
				if(!ri){
					if(le)le->added+=a;
					return le;
				}
				Node *t;
				le = le->erase_max(&t,a,a);
				t->left = le;
				t->right = ri;
				return t->balance();
			}
			if(k < index){
				left = left->erase(k);
			}else if(index < k){
				right = right->erase(k);
			}
			return balance();
		}
		int min(int a,int b,int l,int r,int s)const{
			if(r<a || b<l)return INF;
			if(a<=l && r<=b)return minsub;
			s += added;
			int i=index+s;
			int res=a<=i&&i<=b?val:INF;
			res = std::min(res,left->min(a,b,l,i-1,s));
			res = std::min(res,right->min(a,b,i+1,r,s));
			return res;
		}
		
		void add_ge(int k,int v){
			if(!this)return;
			k-=added;
			if(k <= index){
				added += v;
				if(left){
					left->added -= v;
					left->add_ge(k-v ,v);
				}
			}else{
				right->add_ge(k,v);
			}
		}
		Node *balance(){
			int bf = (right?right->height:0)-(left?left->height:0);
			if(2==bf){
				Node *t=right;
				if((t->right?t->right->height:0) < (t->left?t->left->height:0)){
					right = t->rotate_right();
				}
				return rotate_left()->update();
			}else if(bf==-2){
				Node *t=left;
				if((t->right?t->right->height:0) > (t->left?t->left->height:0)){
					left = t->rotate_left();
				}
				return rotate_right()->update();
			}
			updates();
			return this;
		}
		Node *update(){
			if(left)left->updates();
			if(right)right->updates();
			updates();
			return this;
		}
		void updates(){
			update_height();
			update_size();
			update_min();
		}
		void update_height(){
			if(!this)return;
			if(right){
				if(left && right->height < left->height)height=left->height+1;
				else height=right->height+1;
			}else if(left)height=left->height+1;
			else height=1;
		}
		void update_size(){
			if(!this)return;
			size = 1 + (left?left->size:0) + (right?right->size:0);
		}
		void update_min(){
			if(!this)return;
			minsub = val;
			if(left)minsub=std::min(minsub,left->minsub);
			if(right)minsub=std::min(minsub,right->minsub);
		}
		Node* erase_max(Node **maxnode,int add,int s){
			s += added;
			if(right){
				right = right->erase_max(maxnode,add,s);
				return balance();
			}else{
				*maxnode=this;
				index = index+s-add;
				added = add;
				if(left)left->index += added;
				return left;
			}
		}
	} *root;
public:
	Sequence():root(0){}
	~Sequence(){if(root)delete root;}
	void insert(int k,int v){
		root->add_ge(k,1);
		root=root->insert(k,v);
	}
	void erase(int k){
		root=root->erase(k);	
		root->add_ge(k,-1);
	}
	int min(int a,int b)const{
		return root->min(a,b,0,root->size-1,0);
	}
	void substitute(int k,int v){
		root=root->erase(k);
		root=root->insert(k,v);
	}
};


int main(){
	int n,q;
	Sequence seq;
	cin>>n>>q;
	for(int i=0;i<n;i++){
		int a;
		cin>>a;
		seq.insert(i,a);
	}
	for(int i=0;i<q;i++){
		int x,y,z;
		cin>>x>>y>>z;
		if(x==0){
			int v=seq.min(z,z);
			seq.erase(z);
			seq.insert(y,v);
		}else if(x==1){
			cout<<seq.min(y,z)<<endl;
		}else{
			seq.substitute(y,z);
		}
	}
	return 0;
}