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 <string>
#include <vector>

#define REP(i,n) for(int i=0;i<(n);++i)

using namespace std;

typedef int Data;

struct Treap {
  Data value;
  int pri;
  Treap *left;
  Treap *right;
  int cnt;
  int minv;
  Treap(Data v)
      : value(v), pri(rand()),
      left(nullptr), right(nullptr),
      cnt(1), minv(v) {}
};

int count(Treap *t) { return !t ? 0 : t->cnt; }
int minv(Treap *t) { return !t ? 1000000000 : t->minv; }

Treap *update(Treap *t) {
  t->cnt = count(t->left) + count(t->right) + 1;
  t->minv = min(min(minv(t->left),minv(t->right)),t->value);
  return t;
}

Treap *merge(Treap *l, Treap *r){
  if(!l || !r) return !l ? r : l;

  if(l->pri > r->pri){
    l->right = merge(l->right, r);
    return update(l);
  } else {
    r->left = merge(l, r->left);
    return update(r);
  }
}

pair<Treap*, Treap*> split(Treap *t, int k) {
  if(!t) return make_pair(nullptr, nullptr);

  if(k <= count(t->left)) {
    auto s = split(t->left, k);
    t->left = s.second;
    return make_pair(s.first, update(t));
  } else {
    auto s = split(t->right, k - count(t->left) - 1);
    t->right = s.first;
    return make_pair(update(t), s.second);
  }
}

Treap *insert(Treap *t, int k, Data v) {
  auto s = split(t, k);
  return merge(s.first, merge(new Treap(v), s.second));
}

Treap *erase(Treap *t, int k) {
  auto s1 = split(t, k);
  auto s2 = split(s1.second, 1);
  free(s2.first);
  return merge(s1.first, s2.second);
}

int main() {
  srand(0);
  Treap *root = nullptr;
  int n,q;
  cin>>n>>q;
  REP(i,n){
    int a;
    cin>>a;
    root = insert(root, i, a);
  }
  REP(i,q){
    int x,y,z;
    cin>>x>>y>>z;
    switch(x){
      case 0: {
        auto b = split(root, z+1);
        auto f = split(b.first, y);
        auto s = split(f.second, z-y);
        Treap *ns = merge(s.second, s.first);
        Treap *nf = merge(f.first, ns);
        root = merge(nf, b.second);
      } break;
      case 1: {
        auto b = split(root, z+1);
        auto f = split(b.first, y);
        cout << f.second->minv << endl;
        Treap *nf = merge(f.first, f.second);
        root = merge(nf, b.second);
      } break;
      case 2: {
        root = erase(root, y);
        root = insert(root, y, z);
      } break;
    }
  }
  return 0;
}