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>
#define rep(i,a,b) for(int i=a;i<b;i++)
using namespace std; void _main(); int main() { cin.tie(0); ios::sync_with_stdio(false); _main(); }
//---------------------------------------------------------------------------------------------------
typedef long long ll;
struct dice {
    mt19937 mt; dice() { random_device rd; mt = mt19937(rd()); }
    int operator()(int x) { return this->operator()(0, x - 1); }
    int operator()(int x, int y) { uniform_int_distribution<int> dist(x, y); return dist(mt); }
} dc;
struct Node {
    int val;
    Node *lch, *rch;
    int sz;
    Node(int a) :val(a), lch(0), rch(0), sz(1) { init(); }

    /*int put;
    void init() { put = 0; }
    void push() {
    val += put;
    if (lch) lch->put += put;
    if (rch) rch->put += put;
    put = 0;
    }*/
    int mi;
    void init() { mi = val; }
    void push() { }
    void update() {
        mi = val;
        if (lch) mi = min(mi, lch->mi);
        if (rch) mi = min(mi, rch->mi);
    }
};
struct RBST {

    RBST() :root(NULL) {}

    Node *root;
    inline int getsz(Node *t) { return t ? t->sz : 0; }
    int getsz() { return getsz(root); }
    inline void push(Node *t) {
        if (t == NULL)return;
        t->push();
    }
    inline Node *update(Node *t) {
        if (!t)return NULL;
        t->sz = getsz(t->lch) + getsz(t->rch) + 1;
        t->update();
        return t;
    }

    Node *merge(Node *a, Node *b) {
        push(a); push(b);
        if (!a)return b;
        if (!b)return a;

        if (dc(getsz(a) + getsz(b))<getsz(a)) {
            a->rch = merge(a->rch, b);
            return update(a);
        }
        else {
            b->lch = merge(a, b->lch);
            return update(b);
        }
    }

    template<class... T> Node *merge(Node *a, T... y) { return merge(a, merge(y...)); }

    pair<Node *, Node *>split(Node *t, int k) {//[0,k) [k,N)
        push(t);
        if (!t)return make_pair(t, t);
        if (k <= getsz(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 - getsz(t->lch) - 1);
            t->rch = s.first;
            return make_pair(update(t), s.second);
        }
    }

    int lower_bound(int x) { return lower_bound(root, x); }
    int lower_bound(Node *t, int x) {
        push(t);
        if (!t)return 0;
        if (t->val >= x)return lower_bound(t->lch, x);
        return lower_bound(t->rch, x) + getsz(t->lch) + 1;
    }

    // [l,r]????????§a,b,c????????????(????????£?????????????????¨????????????????????¨)
    // root???0????????£??????
    tuple<Node*,Node*,Node*> split3(int l, int r) { 
        auto p = split(root, l);

        auto a = p.first;

        auto q = split(p.second, r - l + 1);

        auto b = q.first;
        auto c = q.second;
        root = 0;

        return make_tuple( a,b,c );
    }

    void change(int i, Node* v) { // i?????????v?????´??°
        auto p = split(root, i);
        auto a = p.first;
        auto q = split(p.second, 1);
        Node* b = q.first;
        auto c = q.second;

        b = v;

        root = merge(merge(a, b), c);
    }

    void dump() {
        dump(root);
        cout << endl;
    }
    void dump(Node *t) {
        if (t == NULL)return;
        dump(t->lch);
        cout << t->val << " ";
        dump(t->rch);
    }
    void push_back(Node *t) {
        root = merge(root, t);
    }

    void shift(int l, int r) { // [l,r]?????????????????????????????????(????????????????§????)
        Node *a, *b, *c;
        tie(a, b, c) = split3(l, r);

        Node *ba, *bb;
        tie(ba, bb) = split(b, r - l);

        root = merge(root, a, bb, ba, c);
    }

    int query(int l, int r) {
        Node *a, *b, *c;
        tie(a, b, c) = split3(l, r);

        int res = b->mi;

        root = merge(root, a, b, c);

        return res;
    }
};
/*---------------------------------------------------------------------------------------------------
????????????????????????????????? ??§?????§  
??????????????? ??§?????§ ???????´<_??? ?????? Welcome to My Coding Space!
???????????? ??? ?´_???`??????/??? ???i     
?????????????????????????????? ???  |???|     
????????? /?????? /??£??£??£??£/??????|  
??? ???_(__??????/???    ???/ .| .|????????????  
??? ????????????/????????????/??????u??????  
---------------------------------------------------------------------------------------------------*/


int N, Q;
//---------------------------------------------------------------------------------------------------
void _main() {
    cin >> N >> Q;

    RBST tree;
    rep(i, 0, N) {
        int a; cin >> a;
        tree.push_back(new Node(a));
    }

    rep(q, 0, Q) {
        int x, y, z; cin >> x >> y >> z;

        if (x == 0) {
            tree.shift(y, z);
        } else if (x == 1) {
            printf("%d\n", tree.query(y, z));
        }
        else {
            tree.change(y, new Node(z));
        }
    }
}