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 <stdio.h>
#include <iostream>

using namespace std;

#define SIZE 500

#define SIZE2 (200000 / SIZE + 10)

#define SIKI (SIZE * 3)

class point
{
public:
	int n;
	int d[SIKI + 1];
	int minw;
};

point m[SIZE2];

int p[200000];

int N;

void atu()
{
	int now = 0;
	for(int i = 0; i < SIZE2; i++)
	{
		for(int ii = 0; ii < m[i].n; ii++)
		{
			p[now] = m[i].d[ii];
			now++;
		}
	}
}

int getm(int x,int a,int b)
{
	int w = 2000000000;
	for(int i = a; i <= b; i++)
	{
		w = min(w,m[x].d[i]);
	}
	return w;
}

void bun()
{
	for(int i = 0; i < SIZE2; i++)
	{
		m[i].n = 0;
	}
	int now = 0;
	for(int i = 0; i < SIZE2; i++)
	{
		for(int ii = 0; ii < SIZE; ii++)
		{
			if(now >= N)
			{
				m[i].n = ii;
				goto aa;
			}
			m[i].d[ii] = p[now];
			now++;
			m[i].n++;
		}
	}
aa:
	for(int i = 0; i < SIZE2; i++)
	{
		m[i].minw = getm(i,0,m[i].n - 1);
	}
}

pair<int,int> findw(int a)
{
	int now = 0;
	for(int i = 0; i < SIZE2; i++)
	{
		if(now + m[i].n > a)
		{
			return make_pair(i,a - now);
		}
		now += m[i].n;
	}
}

void insert(int a,int x)
{
	pair<int,int> w = findw(a);
	for(int i = m[w.first].n; i > w.second; i--)
	{
		m[w.first].d[i] = m[w.first].d[i - 1];
	}
	m[w.first].d[w.second] = x;
	m[w.first].n++;
	if(m[w.first].n > SIKI + 1)
	{
		atu();
		bun();
	}
	else
	{
		m[w.first].minw = getm(w.first,0,m[w.first].n - 1);
	}
}

int erase(int a)
{
	pair<int,int> ww = findw(a);
	int w = m[ww.first].d[ww.second];
	for(int i = ww.second; i < m[ww.first].n - 1; i++)
	{
		m[ww.first].d[i] = m[ww.first].d[i + 1];
	}
	m[ww.first].n--;
	m[ww.first].minw = getm(ww.first,0,m[ww.first].n - 1);
	return w;
}

void shift(int a,int b)
{
	int w = erase(b);
	insert(a,w);
}

int minw(int a,int b)
{
	pair<int,int> aw = findw(a);
	pair<int,int> bw = findw(b);
	int w;
	if(aw.first == bw.first)
	{
		w = getm(aw.first,aw.second,bw.second);
	}
	else
	{
		w = min(getm(aw.first,aw.second,m[aw.first].n - 1),getm(bw.first,0,bw.second));
		for(int i = aw.first + 1; i < bw.first; i++)
		{
			w = min(w,m[i].minw);
		}
	}
	return w;
}

void oki(int a,int x)
{
	pair<int,int> w = findw(a);
	m[w.first].d[w.second] = x;
	m[w.first].minw = getm(w.first,0,m[w.first].n - 1);
}

int main()
{
	int q;
	scanf("%d%d",&N,&q);
	for(int i = 0; i < N; i++)
	{
		int w;
		scanf("%d",&w);
		p[i] = w;
	}
	bun();
	for(int i = 0; i < q; i++)
	{
		int a,b,c;
		scanf("%d%d%d",&a,&b,&c);
		if(a == 0)
		{
			shift(b,c);
		}
		else if(a == 1)
		{
			printf("%d\n",minw(b,c));
		}
		else
		{
			oki(b,c);
		}
	}
	return 0;
}