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>
using namespace std;

int id = INT_MAX;
int merge(int l, int r) {
	return min(l, r);
}

struct node {
	int val;
	int all;
	node *lch, *rch;
	int size;
	node(int v) : val(v), all(v), size(1) {
		lch = rch = nullptr;
	}
};

random_device rd;

int count(node *t) { return t == nullptr ? 0 : t->size; }
int que(node *t) { return t == nullptr ? id : t->all; }
node *update(node *t) {
	t->size = count(t->lch) + count(t->rch) + 1;
	t->all = merge(que(t->lch), merge(t->val, que(t->rch)));
	return t;
}
node *merge(node *l, node *r) {
	if (l == nullptr || r == nullptr) return l == nullptr ? r : l;
	if (rd() % (l->size + r->size) < (unsigned)r->size) {
		l->rch = merge(l->rch, r);
		return update(l);
	}
	else {
		r->lch = merge(l, r->lch);
		return update(r);
	}
}
pair<node*, node*> split(node *t, int k) {
	if (t == nullptr) return make_pair(nullptr, nullptr);
	if (k <= count(t->lch)) {
		pair<node*, node*> s = split(t->lch, k);
		t->lch = s.second;
		return make_pair(s.first, update(t));
	}
	else {
		pair<node*, node*> s = split(t->rch, k - count(t->lch) - 1);
		t->rch = s.first;
		return make_pair(update(t), s.second);
	}
}
node *insert(node *t, int k, int v) {
	pair<node*, node*> s = split(t, k);
	node *r = merge(s.first, new node(v));
	r = merge(r, s.second);
	return r;
}
node *erase(node *t, int k) {
	pair<node*, node*> s1 = split(t, k), s2 = split(s1.second, 1);
	if (s2.first != nullptr) delete s2.first;
	return merge(s1.first, s2.second);
}
node *find(node *t, int k) {
	if (t == nullptr) return t;
	int c = count(t->lch);
	return k < c ? find(t->lch, k) : k == c ? t : find(t->rch, k - (c + 1));
}
int find(node *t, int l, int r) {
	if (t == nullptr) return id;
	if (r < 0 || l >= count(t)) return id;
	if (l <= 0 && r >= count(t)) return t->all;
	int c = count(t->lch);
	return merge(t->lch == nullptr ? id : find(t->lch, l, r), merge(l <= c && c < r ? t->val : id, t->rch == nullptr ? id : find(t->rch, l - (c + 1), r - (c + 1))));
}
int cnt(node *t, int v) {
	if (t == nullptr) return 0;
	if (t->val < v) return count(t->lch) + 1 + cnt(t->rch, v);
	if (t->val == v) return count(t->lch);
	return cnt(t->lch, v);
}
void print(node *t) {
	if (t == nullptr) return;
	print(t->lch);
	printf(" %d", t->val);
	print(t->rch);
}
node *shift(node *t, int l, int r) {
	pair<node*, node*> s1 = split(t, l), s2 = split(s1.second, r - l), s3 = split(s2.second, 1);
	return merge(s1.first, merge(s3.first, merge(s2.first, s3.second)));
}
void change(node *t, int k, int v) {
	if (t == nullptr) return;
	int c = count(t->lch);
	if (k < c) {
		change(t->lch, k, v);
		update(t);
	}
	else if (k > c) {
		change(t->rch, k - (c + 1), v);
		update(t);
	}
	else {
		t->val = v;
		update(t);
	}
}

int main()
{
	cin.sync_with_stdio(false);
	int n, q, x, y, z;
	cin >> n >> q;
	node *root = nullptr;
	for (int i = 0, a; i < n; i++) {
		cin >> a;
		root = insert(root, i, a);
	}
	while (q--) {
		cin >> x >> y >> z;
		if (x == 0) {
			root = shift(root, y, z);
		}
		else if (x == 1) {
			printf("%d\n", find(root, y, z + 1));
		}
		else {
			change(root, y, z);
		}
	}
	return 0;
}