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<cstdlib>
#include<vector>
#include<cstdio>
#include<cstring>
#include<algorithm>

#define INF (1<<29)

using namespace std;

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 make_pair((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 make_pair(s.first,update(t));
    }
    else{
      pair<node_t*,node_t*>s=split(t->rch,k-count(t->lch)-1);
      t->rch=s.first;
      return make_pair(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);
  }

  void insert(int k,T val){root=insert(root,k,val,rand());}
  void erase(int k){root=erase(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(sz<=l || r<=0)return INF;
    if(l<=0 && sz<=r)return sum(t);

    int c=count(t->lch);
    int vl=query(l,r,t->lch);
    int vr=query(l-c-1,r-c-1,t->rch);
    int res=min(vl,vr);
    if(l<=c && c<r)res=min(res,t->val);
    return res;
  }
};

int main(void){

  srand(time(NULL));
  int n,q;
  treap<int> t;

  cin >> n >> q;
  for(int i=0;i<n;i++){
    int a;
    cin >> a;
    t.insert(i,a);
  }

  for(int i=0;i<q;i++){
    int x,y,z;
    cin >> x >> y >> z;

    if(x==0)t.shift(y,z+1);
    else if(x==1)cout << t.query(y,z+1,t.root) << endl;
    else if(x==2){
      t.erase(y);
      t.insert(y,z);
    }
  }

  return 0;
}