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 <cassert>
#include <utility>
#include <tuple>
#include <ctime>
#include <cstdio>
#include <vector>
#include <algorithm>
#define loop(i,a,b) for(int i=(a);i<int(b);i++)
#define rep(i,n) loop(i,0,n)

using namespace std;

int const inf = 1e9;

unsigned int xor128(){
    static unsigned int x = 123456789, y = 362436069, z = 521288629, w = time(0);
    unsigned long t = x^(x<<11);
    x = y; y = z; z = w;
    return w = (w^(w>>19))^(t^(t>>8));
}

template<class T>
struct Node {
    T val;
    Node *ch[2];
    int pri, cnt;
    T min_;
    static Node *nil;
    Node(T v, int p) : val(v), pri(p), cnt(1), min_(v) { ch[0] = ch[1] = nil; }
    void *operator new(size_t){
        static int pos = 0;
        static char mem[600020*sizeof(Node)];
        Node * res = (Node*)(mem+pos);
        pos += sizeof(Node);
        return res;
    }
    int size(){
        return this->cnt;
    }
    T min(){
        return this->min_;
    }
    T sum(){
        return this->sum_;
    }
    void show(int ofs = 0){
        if(ch[0] != nil) ch[0]->show(ofs+1);
        rep(i,ofs*2) putchar(' ');
        printf("v:%d m:%d (%p)\n", val, min_, this);
        if(ch[1] != nil) ch[1]->show(ofs+1);
    }
    void update(){
        cnt = ch[0]->size() + ch[1]->size() + 1;
        min_ = std::min({ ch[0]->min(), ch[1]->min(), val });
    }
    Node *merge(Node *r){
        if(this == nil || r == nil) return this == nil ? r : this;
        if(pri > r->pri){
            ch[1] = ch[1]->merge(r);
            update();
            return this;
        } else {
            r->ch[0] = merge(r->ch[0]);
            r->update();
            return r;
        }
    }
    pair<Node*,Node*> split(int k){
        int lc = ch[0]->size();
        if(k <= lc){
            auto s = ch[0] != nil ? ch[0]->split(k) : make_pair(nil, nil);
            ch[0] = s.second;
            update();
            return make_pair(s.first, this);
        } else {
            auto s = ch[1] != nil ? ch[1]->split(k-lc-1) : make_pair(nil, nil);
            ch[1] = s.first;
            update();
            return make_pair(this, s.second);
        }
    }
    Node *erase(int k){
        Node *l, *m, *r;
        tie(l,m) = split(k);
        tie(m,r) = m->split(1);
        //delete m;
        return l->merge(r);
    }
    Node *at(int k){
        int lc = ch[0]->size();
        if(k < lc) return ch[0]->at(k);
        else if(k == lc) return this;
        else return ch[1]->at(k-lc-1);
    }
    void set(int k, T x){
        int lc = ch[0]->size();
        if(k < lc) ch[0]->set(k, x);
        else if(k == lc) val = x;
        else if(k > lc) ch[1]->set(k-lc-1, x);
        update();
    }
    Node *insert(int k, T v){
        Node *l,*m = new Node(v,xor128()), *r;
        tie(l,r) = split(k);
        return l->merge(m)->merge(r);
    }
    T min(int l, int r){
        if(r - l <= 0) return inf;
        int lc = ch[0]->size();
        T res = inf;
        if(l <= lc && lc < r) res = std::min(res, this->val);
        res = std::min(res, ch[0]->min(l, std::min(r, lc)));
        res = std::min(res, ch[1]->min(std::max(0, l-lc-1), r-lc-1));
        return res;
        // if(r - l <= 0) return inf;
        // if(r - l == this->size()) return this->min();
        // int lc = ch[0]->size();
        // if(l == lc && r - lc == 1) return val;
        // T res = inf;
        // if(l < lc) res = std::min(res, ch[0]->min(l, std::min(lc, r)));
        // if(l <= lc && lc < r) res = std::min(res, min(lc, lc+1));
        // if(lc + 1 < r) res = std::min(res, ch[1]->min(max(0, l-lc-1), r-lc-1));
        // return res;
    }
};
template<class T>
Node<T> *Node<T>::nil = new Node<T>(0,0);

template<class T>
struct Treap {
    Node<T> *root;
    int size;
    Treap() : root(Node<T>::nil), size(0) {
        root->nil->cnt = 0;
        root->nil->min_ = inf;
    }
    // ~Treap(){
    //     delete root;
    // }
    void shift(int l, int r){
        T tmp = root->at(r-1)->val;
        root = root->erase(r-1);
        root = root->insert(l, tmp);
    }
    void set(int k, T x){
        root->set(k, x);
    }
    T min(int l, int r){
        return root->min(l, r);
    }
    void push_back(T x){
        if(size == 0) root = new Node<T>(x, xor128()), size++;
        else root = root->insert(size++,x);
    }
};

int main(){
    cin.tie(0);
    ios::sync_with_stdio(0);
    int n, q;
    cin >> n >> q;
    Treap<int> t;
    rep(i,n){
        int x;
        cin >> x;
        t.push_back(x);
    }
    rep(i,q){
        int op;
        cin >> op;
        if(false){
        } else if(op == 0){
            int l, r;
            cin >> l >> r;
            t.shift(l,r+1);
        } else if(op == 1){
            int l, r;
            cin >> l >> r;
            cout << t.min(l,r+1) << '\n';
        } else if(op == 2){
            int p, v;
            cin >> p >> v;
            t.set(p,v);
        }
    }
}