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>
using namespace std;
const int INF = 1 << 30;

int xor128(void) { 
  static int x = 123456789;
  static int y = 362436069;
  static int z = 521288629;
  static int w = 88675123; 
  int t;
 
  t = x ^ (x << 11);
  x = y; y = z; z = w;
  return w = (w ^ (w >> 19)) ^ (t ^ (t >> 8));
}

struct Node {
  int Value;
  int SubTreeSize;
  Node *Lch, *Rch;

  int RMQ;

  Node(int V):Value(V), SubTreeSize(1), RMQ(V) {
    Lch = (Node *)NULL;
    Rch = (Node *)NULL;
  };
};
inline int Count(Node *t)
{
  if(t == (Node *)NULL) return(0);
  else return(t -> SubTreeSize);
}
inline int Sum(Node *t)
{
  if(t == (Node *)NULL) return(INF);
  else return(t -> RMQ);
}

inline Node *Update(Node *t)
{
  t -> SubTreeSize = Count(t -> Lch) + Count(t -> Rch) + 1;
  t -> RMQ = min(Sum(t -> Lch), min(Sum(t -> Rch), t -> Value));
  return(t);
}
inline void Push(Node *t) 
{
}

inline Node *MakeRoot(int value)
{
  return(new Node(value));
}

Node *Merge(Node *l, Node *r)
{
  Push(l), Push(r);
  if(l == (Node *)NULL) return(r);
  if(r == (Node *)NULL) return(l);
  int Left  = l -> SubTreeSize;
  int Right = r -> SubTreeSize;
  if(xor128() % (Left + Right) < Left) { // ???(left)??????
    l -> Rch = Merge(l -> Rch, r);
    return(Update(l));
  } else {                              // ???(right)??????
    r -> Lch = Merge(l, r -> Lch);
    return(Update(r));
  }
}
  
pair< Node*, Node* > Split(Node *t, int k) // [0, k), [k, n)
{
  if(t == (Node *)NULL) return(make_pair((Node *)NULL, (Node *)NULL));
  Push(t);
  if(k <= Count(t -> Lch)) { // ?????´?????????
    pair< Node *, Node *> s = Split(t -> Lch, k);
    t -> Lch = s.second;
    return(make_pair(s.first, Update(t)));
  } else {                   // ?????´?????????
    pair< Node *, Node *> s = Split(t -> Rch, k - Count(t -> Lch) - 1);
    t -> Rch = s.first;
    return(make_pair(Update(t), s.second));
  }
}

Node *Insert(Node *root, int pos, int value)
{
  Node *p = MakeRoot(value);
  pair< Node *, Node *> s = Split(root, pos);
  return(Merge(Merge(s.first, p), s.second));
}
Node *Erase(Node *root, int pos)
{
  pair< Node *, Node *> s = Split(root, pos);
  pair< Node *, Node *> t = Split(s.second, 1);
  delete t.first;
  return(Merge(s.first, t.second));
}

void Dump(Node *root)
{
  if(root == (Node *)NULL) return;
  cout << "(";
  Dump(root -> Lch);
  cout << "" << root -> Value << "";
  Dump(root -> Rch);
  cout << ")";
}

int main()
{
  Node *root = NULL;
  int n, q, a, x, y, z;
  scanf("%d %d", &n, &q);
  for(int i = 0; i < n; i++) {
    scanf("%d", &a);
    root = Insert(root, i, a);
  }
  while(q--) {
    scanf("%d %d %d", &x, &y, &z);
    if(x == 0) {
      ++z;
      pair< Node *, Node *> a, b, c;
      c = Split(root, z);
      b = Split(c.first, z - 1);
      a = Split(b.first, y);
      root = Merge(Merge(Merge(a.first, b.second), a.second), c.second);
    } else if(x == 1) { 
      ++z;
      pair< Node *, Node *> p, q;
      p = Split(root, y);
      q = Split(p.second, z - y);
      printf("%d\n", Sum(q.first));
      root = Merge(p.first, Merge(q.first, q.second));
    } else {
      root = Erase(root, y);
      root = Insert(root, y, z);
    }
  }
}