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>
using namespace std;

struct SplayNode{
    SplayNode *left, *right, *parent;
    int size, value, minimum;

    SplayNode(){
        left = nullptr;
        right = nullptr;
        parent = nullptr;
        size = 1;
    }

    void rotate(){
        SplayNode *pp, *p, *c;
        p = this->parent;
        pp = p->parent;

        if(p->left == this){
            c = this->right;
            this->right = p;
            p->left = c;
        }
        else{
            c = this->left;
            this->left = p;
            p->right = c;
        }
        if(pp && pp->left == p)pp->left = this;
        if(pp && pp->right == p)pp->right = this;
        this->parent = pp;
        p->parent = this;
        if(c)c->parent = p;

        p->update();
        this->update();
    }

    int state(){
        if(!this->parent)return 0;
        if(this->parent->left == this)return 1;
        if(this->parent->right == this)return -1;
        return 0;
    }
    
    void splay(){
        while(this->state() != 0){
            if(this->parent->state() == 0){
                this->rotate();
            }
            else if(this->state() == this->parent->state()){
                this->parent->rotate();
                this->rotate();
            }else{
                this->rotate();
                this->rotate();
            }
        }
    }
    
    void update(){
        this->size = 1;
        this->minimum = this->value;
        if(this->left){
            this->size += this->left->size;
            this->minimum = min(this->minimum, this->left->minimum);
        }
        if(this->right){
            this->size += this->right->size;
            this->minimum = min(this->minimum, this->right->minimum);
        }
    }    
};

SplayNode *get(int ind, SplayNode *root){
    SplayNode *now = root;
    while(true){
        int lsize = now->left ? now->left->size : 0;
        if(ind < lsize){
            now = now->left;
        }
        if(ind == lsize){
            now->splay();
            return now;
        }
        if(ind > lsize){
            now = now->right;
            ind = ind - lsize - 1;
        }
    }
}

typedef SplayNode SN;

SN *merge(SN *lroot, SN *rroot){
    if(!lroot)return rroot;
    if(!rroot)return lroot;
    lroot = get(lroot->size-1, lroot);
    lroot->right = rroot;
    rroot->parent = lroot;
    lroot->update();
    return lroot;
}
pair<SN*, SN*> split(int left_cnt, SN *root){
    if(left_cnt == 0)return{nullptr, root};
    if(left_cnt == root->size)return {root, nullptr};
    root = get(left_cnt, root);
    SN *lroot, *rroot;
    lroot = root->left;
    rroot = root;
    rroot->left = nullptr;
    lroot->parent = nullptr;
    rroot->update();
    return {lroot, rroot};
}
SN *insert(int ind, SN *node, SN *root){
    auto trees = split(ind, root);
    SN* lroot = trees.first;
    SN* rroot = trees.second;
    return merge( merge(lroot, node), rroot);
}
pair<SN*, SN*> remove(int ind, SN *root){
    root = get(ind, root);
    SN* lroot = root->left;
    SN* rroot = root->right;
    if(lroot)lroot->parent = nullptr;
    if(rroot)rroot->parent = nullptr;
    root->left = nullptr;
    root->right = nullptr;
    root->update();
    return {merge(lroot, rroot), root};
}

SN* shift(int l, int r, SN* root){
    auto tmp = remove(r, root);
    root = tmp.first;
    SN* node = tmp.second;
    return insert(l, node, root);
}

pair<SN*, int> rmq(int l, int r, SN* root){
    SN *lroot, *croot, *rroot;
    auto tmp = split(r+1, root);
    rroot = tmp.second;
    tmp = split(l, tmp.first);
    lroot = tmp.first;
    croot = tmp.second;
    int ans = croot->minimum;
    return {merge(merge(lroot, croot), rroot), ans};
}

SplayNode node[220000];

int main(){
    int n, q;
    cin >> n >> q;
    int vecsize = 0;

    for(int i = 0;i < n-1;i++){
        node[i].parent = &node[i+1];
        node[i+1].left = &node[i];
        node[i+1].update();
    }

    for(int i = 0;i < n;i++){
        cin >> node[i].value;
        node[i].update();
    }
    
    SplayNode *root = &node[n-1];
    
    for(int i = 0;i < q;i++){
        int ord, l, r, pos, val;
        cin >> ord;
        if(ord == 0){
            cin >> l >> r;
            root = shift(l, r, root);
        }
        if(ord == 1){
            cin >> l >> r;
            auto tmp = rmq(l, r, root);
            root = tmp.first;
            cout << tmp.second << endl;
        }
        if(ord == 2){
            cin >> pos >> val;
            root = get(pos, root);
            root->value = val;
            root->update();
        }
    }
}