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 <bits/stdc++.h>

//    #include <boost/multiprecision/cpp_int.hpp>
// #define int long long
 #define inf  1000000007
 #define pa pair<int,int>
 #define ll long long
 #define pal pair<double,double>
 #define ppap pair<pa,int>
  #define PI 3.14159265358979323846
  #define paa pair<int,char>
  #define  mp make_pair
  #define  pb push_back
  #define EPS (1e-10)
                                          
    int dx[8]={0,1,0,-1,1,1,-1,-1};
    int dy[8]={1,0,-1,0,-1,1,1,-1};
                                            using namespace std;
                                   			class pa3{
                                            	public:
                                            	int x;
                                   				int y,z;
                                            	pa3(int x=0,int y=0,int z=0):x(x),y(y),z(z) {}
                                            	bool operator < (const pa3 &p) const{
                                            		if(x!=p.x) return x<p.x;
                                            		if(y!=p.y) return y<p.y;
                                            		 return z<p.z;
                                            		//return x != p.x ? x<p.x: y<p.y;
                                            	}
                                   				bool operator > (const pa3 &p) const{
                                            		if(x!=p.x) return x>p.x;
                                            		if(y!=p.y) return y>p.y;
                                            		 return z>p.z;
                                            		//return x != p.x ? x<p.x: y<p.y;
                                            	}
                                            	bool operator == (const pa3 &p) const{
                                            		return x==p.x && y==p.y && z==p.z;
                                            	}
                                            		bool operator != (const pa3 &p) const{
                                            			return !( x==p.x && y==p.y && z==p.z);
                                            	}
                                            
                                            };
                                            
                                            class pa4{
                                            	public:
                                            	int x;
                                            	int y,z,w;
                                            	pa4(int x=0,int y=0,int z=0,int w=0):x(x),y(y),z(z),w(w) {}
                                            	bool operator < (const pa4 &p) const{
                                            		if(x!=p.x) return x<p.x;
                                            		if(y!=p.y) return y<p.y;
                                            		if(z!=p.z)return z<p.z;
                                            		return w<p.w;
                                            		//return x != p.x ? x<p.x: y<p.y;
                                            	}
                                            	bool operator > (const pa4 &p) const{
                                            		if(x!=p.x) return x>p.x;
                                            		if(y!=p.y) return y>p.y;
                                            		if(z!=p.z)return z>p.z;
                                            		return w>p.w;
                                            		//return x != p.x ? x<p.x: y<p.y;
                                            	}
                                            	bool operator == (const pa4 &p) const{
                                            		return x==p.x && y==p.y && z==p.z &&w==p.w;
                                            	}
                                            		
                                            
                                            };
                                            class pa2{
                                            	public:
                                            	int x,y;
                                            	pa2(int x=0,int y=0):x(x),y(y) {}
                                            	pa2 operator + (pa2 p) {return pa2(x+p.x,y+p.y);}
                                            	pa2 operator - (pa2 p) {return pa2(x-p.x,y-p.y);}
                                            	bool operator < (const pa2 &p) const{
                                            		return y != p.y ? y<p.y: x<p.x;
                                            	}
                                            	bool operator > (const pa2 &p) const{
                                            		return x != p.x ? x<p.x: y<p.y;
                                            	}
                                            	bool operator == (const pa2 &p) const{
                                            		return abs(x-p.x)==0 && abs(y-p.y)==0;
                                            	}
                                            	bool operator != (const pa2 &p) const{
                                            		return !(abs(x-p.x)==0 && abs(y-p.y)==0);
                                            	}
                                            		
                                            
                                            };
                                            

                      
                                string itos( int i ) {
                                ostringstream s ;
                                s << i ;
                                return s.str() ;
                                }
                                 
                                int gcd(int v,int b){
                                	if(v>b) return gcd(b,v);
                                	if(v==b) return b;
                                	if(b%v==0) return v;
                                	return gcd(v,b%v);
                                }
                 
                            
                                int mod;
int extgcd(int a, int b, int &x, int &y) {
    if (b == 0) {
        x = 1;
        y = 0;
        return a;
    }
    int d = extgcd(b, a%b, y, x);
    y -= a/b * x;
    return d;
}
pa operator+(const pa & l,const pa & r) {   
    return {l.first+r.first,l.second+r.second};                                    
}    
pa operator-(const pa & l,const pa & r) {   
    return {l.first-r.first,l.second-r.second};                                    
}  
                                
                int pr[1200010];
                int inv[1200010];
                
                int beki(int wa,int rr,int warukazu){
                	if(rr==0) return 1%warukazu;
                	if(rr==1) return wa%warukazu;
                	wa%=warukazu;
                	if(rr%2==1) return ((ll)beki(wa,rr-1,warukazu)*(ll)wa)%warukazu;
                	ll zx=beki(wa,rr/2,warukazu);
                	return (zx*zx)%warukazu;
                }

                
    			int comb(int nn,int rr){
    				int r=pr[nn]*inv[rr];
    				r%=mod;
    				r*=inv[nn-rr];
    				r%=mod;
    				return r;
    			}
                
                void gya(int ert){
                	pr[0]=1;
                	for(int i=1;i<=ert;i++){
                		pr[i]=(pr[i-1]*i)%mod;
                	}
                		inv[ert]=beki(pr[ert],mod-2,mod);
                	for(int i=ert-1;i>=0;i--){
                		inv[i]=inv[i+1]*(i+1)%mod;
                	}
                }
                
              //   cin.tie(0);
    		//	ios::sync_with_stdio(false);
    			//priority_queue<pa3,vector<pa3>,greater<pa3>> pq;            
                 //sort(ve.begin(),ve.end(),greater<int>());
//    mt19937(clock_per_sec);
  //  mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count()) ;
      
       
       
                               //----------------kokomade tenpure------------



	

typedef	struct node{
	
		node* rc;
		node* lc;
		int sub_size;
		int val; // これが数列の値
		int mi;
	
	}node;


vector<int> vec;
typedef struct RBST{
 	private:
	public:


	
	
	int ran(){
		static unsigned int x=123456789,y=362436069,z=521288629,w=88675123;
		unsigned int t;
		t=(x^(x<<10));
		x=y;
		y=z;
		z=w; 
		return( w=(w^(w>>19))^(t^(t>>8)) );				
	}
	
	void fix(node *v){
		if(v==NULL) return;
		
		v->sub_size=1;
		if(v->lc!=NULL)v->sub_size+=v->lc->sub_size;
		if(v->rc!=NULL)v->sub_size+=v->rc->sub_size;
		
		// ここに子→親の操作を書く
		
		v->mi=v->val;
		v->mi=min(v->mi,mi(v->lc));
		
		v->mi=min(v->mi,mi(v->rc));
		return;
	}
	
	int siz(node* v){
		return v==NULL ? 0:v->sub_size;
	}
	
	int mi(node* v){
		return v==NULL? inf:v->mi;
	}
	
	
	node* init(const vector<int> &vec,int l,int r){
		if(l>=r) return NULL;
		int c=(l+r)/2;
		node* v=new_node(vec[c]);
		
		v->lc = init(vec,l,c);
		v->rc = init(vec,c+1,r);
		fix(v);
		return v;
	}
	
	node* init(const vector<int> &vec){
		int n=vec.size();
		if(n==0) return NULL;
		
		node* v=init(vec,0,n);
		return v;
	}
	
	node* new_node(int val){
		node* no=new node;
		no->val=val;
		no->sub_size=1;
		no->mi=val;
		no->lc=NULL;
		no->rc=NULL;
		return no;
	}
	
	node* merge(node* l,node* r){
		if(l==NULL) return r;
		if(r==NULL) return l;
		if(ran()%(l->sub_size+r->sub_size) <l->sub_size){
			l->rc=merge(l->rc,r);
			fix(l);
			return l;
		}
		else{
			r->lc=merge(l,r->lc);
			fix(r);
			return r;
		}
	}
	
	pair<node* , node*> split(node* v,int k){
		if(v==NULL) return {NULL,NULL};
		
		//int n=v->sub_size;
		//[0,k),[k,n)に分割
		//0<=k<=n
		
		if(siz(v->lc) >= k){
			pair<node* , node*> t1 = split(v->lc,k);
			v->lc=t1.second;
			fix(v);
			return {t1.first,v};
			
		}
		else{
			pair<node*,node*> t1 = split(v->rc,k-siz(v->lc) -1);
			v->rc=t1.first;
			fix(v);
			return {v,t1.second};
		}
		
		
	}
	
	node* insert(node* v,int pos,int val){//pos 項目にvalを挿入 戻り値は新しいroot
		pair<node* , node*> t1=split(v,pos);
		
		return merge(t1.first,merge(new_node(val),t1.second));
	}
	
	pair<node*,int> erase(node *v,int pos){//pos項目を削除　戻り値は新しいrootと消した値
		pair<node* , node*> t1=split(v,pos);
		pair<node* , node*> t2=split(t1.second,1);
		return {merge(t1.first,t2.second),t2.first->val};
	}
	
	
	node* access(node *v,int k){
		if(siz(v->lc)==k) return v;
		if(siz(v->lc)>=k)return access(v->lc,k);
		else return access(v->rc,k-siz(v->lc)-1);
	}
	
	int lower_bound(node *root, int val){ //番兵が必要！！！！
		if(root==NULL) return 0;
		if(root->val>=val){
		//	cout<<val<<endl;
			return lower_bound(root->lc,val);
		}
		return 1+lower_bound(root->rc,val)+siz(root->lc);
	}
	
	int upper_bound(node *root, int val){ //番兵が必要！！！！
		if(root==NULL) return 0;
		if(root->val>val) return upper_bound(root->lc,val);
		
		return 1+upper_bound(root->rc,val)+siz(root->lc);
	}

	
	int rangemin(node* v,int l,int r){
		if(v==NULL) return inf;
		
		
		l=max(l,0);
		r=min(r,siz(v));
		if(l>=r) return inf;
		if(r<=0) return inf;
		if(l >= v->sub_size) return inf;
		
		if(l==0 && r==siz(v)){
			return mi(v);
		}
		
		int ima=inf;
		if(l<=siz(v->lc) && siz(v->lc)<r)ima=v->val;
		ima=min(ima,rangemin(v->lc,l,r));
		ima=min(ima,rangemin(v->rc,l-siz(v->lc)-1,r-siz(v->lc)-1));
		
		return ima;
	}
	
void update(node *v,int pos,int val){
	if(pos==siz(v->lc)){
		v->val=val;
		
		fix(v);
		return;
	}
	if(pos<siz(v->lc)){
		update(v->lc,pos,val);
		fix(v);
		return;
	}
	else{
		update(v->rc,pos-siz(v->lc)-1,val);
		fix(v);
		return;
	}
	
}
	
	
	
void sequence(node* v){//いまの数列
	
	if(v->lc!=NULL){
		sequence(v->lc);
	}
	//cout<<"   "<<(v->val)<<" "<<mi(v)<<endl;
	vec.pb(v->val);	
	if(v->rc!=NULL){
		sequence(v->rc);
	}
	
	
}
	
}RBST;


RBST R;

 signed main(){
 	

    	       cin.tie(0);
   			ios::sync_with_stdio(false);
int n,q;
 	cin>>n>>q;
 	vector<int> ve(n);
 	for(int i=0;i<n;i++){
 		cin>>ve[i];
 	}
 	node* root=R.init(ve);
 	
 	ve.clear();
 	
 	
 	for(int i=0;i<q;i++){
 	int x,l,r;
 		cin>>x>>l>>r;
 		
 		if(x==0){
 			//int val=R.access(root,r)->val;
 			auto z=R.erase(root,r);
 			root=z.first;
 		
 		
 			root=R.insert(root,l,z.second);
 			
 		}
 		else if(x==1){
 			r++;
 			cout<<R.rangemin(root,l,r)<<"\n";
 		}
 		else{
 			
 			R.update(root,l,r);
 		}
 		if(i%10000==9999){
 			vec.clear();
 			R.sequence(root);
 			root=R.init(vec);
 		}
 	}
 	
 	return 0;
  }