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 <cstdio>
#include <cstring>
#include <string>
#include <iostream>
#include <cmath>
#include <bitset>
#include <vector>
#include <map>
#include <set>
#include <queue>
#include <deque>
#include <algorithm>
#include <unordered_map>
#include <unordered_set>
#include <random>
using namespace std;
typedef long long int ll;
typedef pair<int, int> P;
const int INF=1e9;
random_device rnd;
mt19937 mt(rnd());
uniform_real_distribution<> rnd1(0, 1.0);

struct node_t{
	int val;
	node_t *lch;
	node_t *rch;
	double pri;
	int cnt;
	int mn;
	node_t(ll v, double p):val(v), pri(p), cnt(1), mn(v), lch(nullptr), rch(nullptr){}

};

int count(node_t *t){
	return !t ? 0 : t->cnt;
}

int min(node_t *t){
	return !t ? INF : t->mn;
}

node_t *update(node_t *t){
	t->cnt=count(t->lch)+count(t->rch)+1;
	t->mn=min(t->val, min(min(t->lch), min(t->rch)));
	return t;
}

node_t *merge(node_t *l, node_t *r){
	if(!l || !r) return !l ? r : l;
	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){ //[0, k), [k,n)
	if(!t) return make_pair(nullptr, nullptr);
	if(k <= count(t->lch)){
		pair<node_t*, node_t*> s=split(t->lch, k);
		t->lch=s.second;
		return make_pair(s.first, update(t));
	}else{
		pair<node_t*, node_t*> s=split(t->rch, k-1-count(t->lch));
		t->rch=s.first;
		return make_pair(update(t), s.second);
	}
}

node_t *shift(node_t *t, int l, int r){
	pair<node_t*, node_t*> s=split(t, l);
	pair<node_t*, node_t*> s2=split(s.second, r-l);
	pair<node_t*, node_t*> s3=split(s2.second, 1);
	return merge(merge(s.first, s3.first), merge(s2.first, s3.second));
}

node_t *insert(node_t *t, int pos, int x){
	pair<node_t*, node_t*> s=split(t, pos);
	pair<node_t*, node_t*> s2=split(s.second, 1);
	return merge(merge(s.first, new node_t(x, rnd1(mt))), s2.second);
}

int find(node_t *t, int l, int r){
	pair<node_t*, node_t*> s=split(t, l);
	pair<node_t*, node_t*> s2=split(s.second, r-l+1);
	int ans=min(s2.first);
	t=merge(s.first, merge(s2.first, s2.second));
	return ans;
}

node_t *init(node_t *t, int a){
	return merge(t, new node_t(a, rnd1(mt)));
}

int main()
{
	int n, q;
	cin>>n>>q;
	node_t* s=nullptr;
	for(int i=0; i<n; i++){
		int a; cin>>a;
		s=init(s, a);
	}
	for(int i=0; i<q; i++){
		int x, y, z;
		cin>>x>>y>>z;
		if(x==0){
			s=shift(s, y, z);
		}else if(x==1){
			cout<<find(s, y, z)<<endl;
		}else{
			s=insert(s, y, z);
		}
	}
    return 0;
}