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;
#define FOR(i,k,n) for(int i = (k); i < (n); i++)
#define REP(i,n) FOR(i,0,n)
#define ALL(a) a.begin(), a.end()
#define MS(m,v) memset(m,v,sizeof(m))
#define D10 fixed<<setprecision(10)
typedef vector<int> vi;
typedef vector<string> vs;
typedef pair<int, int> pii;
typedef long long ll;
const int INF = 114514810;
const int MOD = 1000000007;
const double EPS = 1e-10;
template<class T> T &chmin(T &a, const T &b) { return a = min(a, b); }
template<class T> T &chmax(T &a, const T &b) { return a = max(a, b); }

/*--------------------template--------------------*/


pii place(vector<vi> &v, int p)
{
	int cnt = 0;
	REP(i, v.size())
	{
		if (cnt <= p && p < cnt+v[i].size())
		{
			return pii(i, p - cnt);
		}
		else cnt += v[i].size();
	}
}

vector<vi> copy(vi &from, int s)
{
	vector<vi> to(s);
	REP(i, from.size())
	{
		to[i / s].push_back(from[i]);
	}
	return to;
}

int main()
{
	int n, q;
	cin >> n >> q;
	int s = ceil(sqrt(n));
	vi a(n), mn(s);
	REP(i, n) cin >> a[i];
	vector<vi> v = copy(a, s);
	REP(i, v.size()) mn[i] = (v[i].size() > 0 ? *min_element(ALL(v[i])) : INF);
	int cntc = 0;
	REP(op, q)
	{
		if (cntc > s)
		{
			vi tmp;
			REP(i, v.size())REP(j, v[i].size()) tmp.push_back(v[i][j]);
			v = copy(tmp, s);
			cntc = 0;
		}
		int a, b, c;
		cin >> a >> b >> c;
		if (a == 0)
		{
			int rx = place(v, c).first, ry = place(v, c).second;
			int t = v[rx][ry];
			v[rx].erase(v[rx].begin() + ry);
			int lx = place(v, b).first, ly = place(v, b).second;
			v[lx].insert(v[lx].begin() + ly, t);
			mn[lx] = *min_element(ALL(v[lx]));
			mn[rx] = (v[rx].size() > 0 ? *min_element(ALL(v[rx])) : INF);
			cntc++;
		}
		else if (a == 1)
		{
			int lx = place(v, b).first, ly = place(v, b).second;
			int rx = place(v, c).first, ry = place(v, c).second;
			int ans = INF;
			if (lx == rx) FOR(i, ly, ry + 1) chmin(ans, v[lx][i]);
			else
			{
				FOR(i, ly, v[lx].size()) chmin(ans, v[lx][i]);
				FOR(i, lx + 1, rx) chmin(ans, mn[i]);
				REP(i, ry + 1) chmin(ans, v[rx][i]);
			}
			cout << ans << endl;
		}
		else
		{
			int x = place(v, b).first, y = place(v, b).second;
			v[x][y] = c;
			mn[x] = *min_element(ALL(v[x]));
		}
	}
	return 0;
}