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;
#ifdef _DEBUG
#include "dump.hpp"
#else
#define dump(...)
#endif

//#define int long long
#define rep(i,a,b) for(int i=(a);i<(b);i++)
#define rrep(i,a,b) for(int i=(b)-1;i>=(a);i--)
#define all(c) begin(c),end(c)
const int INF = sizeof(int) == sizeof(long long) ? 0x3f3f3f3f3f3f3f3fLL : 0x3f3f3f3f;
const int MOD = (int)(1e9) + 7;
template<class T> bool chmax(T &a, const T &b) { if (a < b) { a = b; return true; } return false; }
template<class T> bool chmin(T &a, const T &b) { if (b < a) { a = b; return true; } return false; }

struct Node {
	int val;
	Node *ch[2];
	int pri;
	int cnt;
	int sum;
	int mini;

	Node(int v, double p) :val(v), mini(v), pri(p), cnt(1), sum(v) {
		ch[0] = ch[1] = NULL;
	}
};

int count(Node *t) { return !t ? 0 : t->cnt; }
int sum(Node *t) { return !t ? 0 : t->sum; }
int val(Node *t) { assert(t); return t->val; }
int mini(Node *t) { return !t ? INF : t->mini; }

void inorder(Node* root, string name = "") {
	function<void(Node*)> rec = [&](Node *x) {
		if (!x)return;
		rec(x->ch[0]);
		cerr << x->val << " ";
		rec(x->ch[1]);
	};
	cerr << name << ": ";
	rec(root);
	cerr << endl;
}

int mini(Node *t, int l, int r) {
	if (!t)return INF;
	if (r <= l)return INF;
	if (r - l == count(t))
		return mini(t);
	else if (count(t->ch[0]) >= r)
		return mini(t->ch[0], l, r);
	else if (count(t->ch[0]) < l)
		return mini(t->ch[1], l - (count(t->ch[0]) + 1), r - (count(t->ch[0]) + 1));
	return min({
		val(t),
		mini(t->ch[0], l, count(t->ch[0])),
		mini(t->ch[1], 0, r - (count(t->ch[0]) + 1))
	});
}

// ??????????????£?????¨?????????????????¶
Node *update(Node *t) {
	if (!t)return t;
	t->cnt = count(t->ch[0]) + count(t->ch[1]) + 1;
	t->sum = sum(t->ch[0]) + sum(t->ch[1]) + t->val;
	t->mini = min({ val(t),mini(t->ch[0]),mini(t->ch[1]) });
	return t;
}

Node *merge(Node *l, Node *r) {
	if (!l)return r;
	if (!r)return l;
	if (l->pri > r->pri) {
		l->ch[1] = merge(l->ch[1], r);
		return update(l);
	}
	else {
		r->ch[0] = merge(l, r->ch[0]);
		return update(r);
	}
}

// ([0, k), [k, n))
pair<Node*, Node*> split(Node *t, int k) {
	if (!t)return pair<Node*, Node*>(NULL, NULL);
	if (k <= count(t->ch[0])) {
		pair<Node*, Node*> s = split(t->ch[0], k);
		t->ch[0] = s.second;
		return make_pair(s.first, update(t));
	}
	else {
		pair<Node*, Node*> s = split(t->ch[1], k - count(t->ch[0]) - 1);
		t->ch[1] = s.first;
		return make_pair(update(t), s.second);
	}
}

Node *insert(Node *t, int k, int v) {
	auto s = split(t, k);
	Node *m = new Node(v, rand());
	return update(merge(update(merge(s.first, m)), s.second));
}

Node *erase(Node *t, int k) {
	auto s1 = split(t, k);
	auto s2 = split(s1.second, 1);
	return update(merge(s1.first, s2.second));
}

Node* circularShift(Node *t, int l, int r) {
	Node *a, *b, *c, *d;
	tie(a, d) = split(t, r);
	tie(a, b) = split(a, l);
	tie(b, c) = split(b, r - l - 1);
	return merge(merge(a, merge(c, b)), d);
}

Node *update(Node*t, int k, int v) {
	t = erase(t, k);
	t = insert(t, k, v);
	return t;
}

signed main() {
	cin.tie(0);
	ios::sync_with_stdio(false);
	int n, q; cin >> n >> q;
	Node *root = NULL;
	rep(i, 0, n) {
		int a; cin >> a;
		root = insert(root, i, a);
	}
	rep(i, 0, q) {
		int x, y, z; cin >> x >> y >> z;
		dump(x, y, z);
		if (x == 0) {
			root = circularShift(root, y, z + 1);
		}
		else if (x == 1) {
			cout << mini(root, y, z + 1) << endl;
		}
		else {
			root = update(root, y, z);
		}
	}
	return 0;
}