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>
#define ll long long
#define INF 1000000005
#define MOD 1000000007
#define EPS 1e-10
#define rep(i,n) for(int i=0;i<(int)(n);++i)
#define rrep(i,n) for(int i=(int)(n)-1;i>=0;--i)
#define srep(i,s,t) for(int i=(int)(s);i<(int)(t);++i)
#define each(a,b) for(auto (a): (b))
#define all(v) (v).begin(),(v).end()
#define len(v) (int)(v).size()
#define zip(v) sort(all(v)),v.erase(unique(all(v)),v.end())
#define cmx(x,y) x=max(x,y)
#define cmn(x,y) x=min(x,y)
#define fi first
#define se second
#define pb push_back
#define show(x) cout<<#x<<" = "<<(x)<<endl
#define spair(p) cout<<#p<<": "<<p.fi<<" "<<p.se<<endl
#define svec(v) cout<<#v<<":";rep(kbrni,v.size())cout<<" "<<v[kbrni];cout<<endl
#define sset(s) cout<<#s<<":";each(kbrni,s)cout<<" "<<kbrni;cout<<endl
#define smap(m) cout<<#m<<":";each(kbrni,m)cout<<" {"<<kbrni.first<<":"<<kbrni.second<<"}";cout<<endl

using namespace std;

typedef pair<int,int> P;
typedef pair<ll,ll> pll;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef vector<ll> vl;
typedef vector<double> vd;
typedef vector<P> vp;
typedef vector<string> vs;

template <typename T> class RBST
{
public:
    struct node{
        T val, min_val;
        int st_size;   // ??¨?????¨????????????
        node* left; node* right;
        using pnn = pair<node*,node*>;
        node(T v) : val(v), left(nullptr), right(nullptr), st_size(1), min_val(v){}
        ~node() { delete left; delete right; }
        static int size(node* t) { return t ? t->st_size : 0; }
        static T min_(node* t) { return t ? t->min_val : std::numeric_limits<T>::max(); }
        static node* update(node *t) {
            node* l = t->left; node* r = t->right;
            t->st_size = size(l) + size(r) + 1;
            t->min_val = min({min_(l), min_(r), t->val});
            return t;
        }
        static unsigned rnd(){
            static unsigned x = 123456789, y = 362436069, z = 521288629, w = 86675;
            unsigned t = (x^(x<<11));
            x = y,y = z,z = w;
            return (w = (w^(w>>19))^(t^(t>>8)));
        }
        static node* merge(node* l, node* r){   //??????????????????????????°??????????????????
            if (!l || !r) return (!l) ? r : l;
            update(l); update(r);
            if(rnd() % (size(l) + size(r)) < size(l)){
                l->right = merge(l->right, r);
                return update(l);
            }else{
                r->left = merge(l, r->left);
                return update(r);
            }
        }
        static pnn split(node* t, int k){   //??¨???????????????(k,n-k)??¨???????????????????????????
            if(!t) return pnn(nullptr, nullptr);
            update(t);
            if(k <= size(t->left)){
                pnn s = split(t->left, k);
                t->left = s.second;
                return pnn(s.first,update(t));
            }else{
                pnn s = split(t->right, k-size(t->left)-1);
                t->right = s.first;
                return pnn(update(t), s.second);
            }
        }
        static node* insert(node* t, int k, node* u){
            pnn s = split(t, k);
            return merge(merge(s.first, u), s.second);
        }
        static pnn erase(node* t, int k){
            pnn sr = split(t, k+1);
            pnn sl = split(sr.first, k);
            return pnn(merge(sl.first, sr.second), sl.second);
        }
    };
    node *root;
    RBST() : root(nullptr) {}
    ~RBST() {}
    void insert(int k, T val){
        root = node::insert(root, k, new node(val));
    }
    void erase(int k) {
        node *p;
        tie(root, p) = node::erase(root, k);
        p->left = p->right = nullptr;
        delete p;
    }
    T get(int k){
        node* v = root;
        while(v) {
            int s = node::size(v->left);
            if(s > k){
                 v = v->left;
            }else if(s == k){
                return v->val;
            }else{
                v = v->right;
                k -= s+1;
            }
        }
        return v->val;
    }
    //cri??\??????????´???°(???????????????????????§????????´??????????????¨???)
    int index(T cri){
        int res = 0;
        node* v = root;
        while(v){
            if(cri < v->val){
                v = v->left;
            }else{
                res += node::size(v->left) + 1;
                v = v->right;
            }
        }
        return res;
    }
    //k???????????????val????????´
    void set(int k, T val) {
        auto sr = node::split(root, k+1);
        auto sl = node::split(sr.first, k);
        auto lr = sl.second;
        lr->val = val;
        root = node::merge(node::merge(sl.first, lr), sr.second);
    }
    //???????????§?????°?????????
    void shift(int l,int r)
    {
        auto sr = node::split(root, r);
        auto sl = node::split(sr.first, l);
        auto sm = node::split(sl.second, r-l-1);
        root = node::merge(node::merge(sl.first,sm.second),node::merge(sm.first,sr.second));
    }
    T query(int l, int r) {
        auto sr = node::split(root, r);
        auto sl = node::split(sr.first, l);
        auto lr = sl.second;
        T val = node::min_(lr);
        root = node::merge(node::merge(sl.first, lr), sr.second);
        return val;
    }
};

int main()
{
    cin.tie(0);
    ios::sync_with_stdio(false);
    int n,q;
    cin >> n >> q;
    RBST<int> rb;
    rep(i,n){
        int a;
        cin >> a;
        rb.insert(i,a);
    }
    rep(i,q){
        int a,b,c;
        cin >> a >> b >> c;
        if(a == 0){
            rb.shift(b,c+1);
        }else if(a == 1){
            cout << rb.query(b,c+1) << "\n";
        }else{
            rb.set(b,c);
        }
    }
    return 0;
}