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<vector>
#include<string>
#include<algorithm>	
#include<map>
#include<set>
#include<utility>
#include<cmath>
#include<cstring>
#include<queue>
#include<stack>
#include<cstdio>
#include<sstream>
#include<iomanip>
#define loop(i,a,b) for(int i=a;i<b;i++) 
#define rep(i,a) loop(i,0,a)
#define pb push_back
#define mp make_pair
#define all(in) in.begin(),in.end()
#define shosu(x) fixed<<setprecision(x)
using namespace std;
//kaewasuretyuui
typedef long long ll;
typedef pair<int,int> pii;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef vector<pii> vp;
typedef vector<vp> vvp;
typedef vector<string> vs;
typedef pair<int,pii> pip;
typedef vector<pip>vip;
const double PI=acos(-1);
const double EPS=1e-8;
const double inf=1e8;	
template<class T>
struct Treap{
	struct node_t{
		T val;
		T sum;
		node_t *lch,*rch;
		int pri;
		int cnt;
		node_t(T v,int p):val(v),pri(p),cnt(1),sum(v){lch=rch=NULL;}
	};
	node_t *root;
	Treap():root(NULL){}
	
	int count(node_t *t){return t?t->cnt:0;}
	T   sum(node_t *t)  {return t?t->sum:inf;}
	int size()          {return count(root);}
	
	node_t *update(node_t *t){
		t->cnt=count(t->lch)+count(t->rch)+1;
		t->sum=min(min(sum(t->lch),sum(t->rch)),t->val);//
		return t;
	}
	node_t *merge(node_t *l,node_t *r){
		if(!l||!r)return l?l:r;
		if(l->pri>r->pri){
			l->rch=merge(l->rch,r);
			return update(l);
		}else{
			r->lch=merge(l,r->lch);
			return update(r);
		}
	}
	pair<node_t*, node_t*> split(node_t *t, int k){
		if(!t)return mp((node_t*)NULL,(node_t*)NULL);
		if(k<=count(t->lch)){
			pair<node_t*,node_t*>s=split(t->lch,k);
			t->lch=s.second;
			return mp(s.first,update(t));
		}else{
			pair<node_t*, node_t*>s=split(t->rch,k-count(t->lch)-1);
			t->rch=s.first;
			return mp(update(t),s.second);
		}
	}
	node_t *insert(node_t *t,int k,T val,int pri){
		pair<node_t*,node_t*>s=split(t, k);
		t=merge(s.first,new node_t(val, pri));
		t=merge(t,s.second);
		return update(t);
	}
	node_t *erase(node_t *t,int k){
		pair<node_t*,node_t*>s1,s2;
		s2=split(t,k+1);
		s1=split(s2.first,k);
		t=merge(s1.first,s2.second);
		return update(t);
	}
	node_t *find(node_t *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);
	}
	void insert(int k,T val){root=insert(root,k,val,rand());}
	void erase(int k){root=erase(root,k);}
	node_t *find(int k){return find(root,k);}
	
	void shift(int l,int r){
		pair<node_t*,node_t*>a,b,c;
		c=split(root,r);
		b=split(c.first,r-1);
		a=split(b.first,l);
		root=merge(a.first,b.second);
		root=merge(root,a.second);
		root=merge(root,c.second);
	}
	int query(int l,int r,node_t *t){
		int sz=count(t);
		if(l>=sz||r<=0)return inf;
		if(l<=0&&r>=sz)return sum(t);
		int c=count(t->lch);
		int lv=query(l,r,t->lch);
		int rv=query(l-c-1,r-c-1,t->rch);
		int res=min(lv,rv);
		if(l<=c&&c<r)res=min(res,t->val);
		return res;
	}
	int query(int l,int r){return query(l,r,root);}
};

int main(){
	srand(time(NULL));
	int n,q;
	cin>>n>>q;
	Treap<int>t;
	rep(i,n){
		int a;
		cin>>a;
		t.insert(i,a);
	}
	while(q--){
		int a,b,c;
		cin>>a>>b>>c;
		if(a==2){
			t.erase(b);
			t.insert(b,c);
		}else if(a==1){
			cout<<t.query(b,c+1)<<endl;
		}else t.shift(b,c+1);
	}
}