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++: #define NDEBUG

#include <iostream>
#include <cstring>
#include <algorithm>
#include <vector>
#include <map>
#include <queue>
#include <set>
#include <tuple>
#include <cassert>
  
using namespace std;
typedef long long ll;

template<class D>
struct AATree {
    struct Node;
    typedef Node* NP;
    constexpr static D INF = 1LL<<55;
    static Node last_d;
    static NP last;
    struct Node {
        NP l, r;
        int level, sz;
        D v, mi;
        Node(): l(nullptr), r(nullptr), level(0), sz(0) {}
        Node(D vv): l(last), r(last), level(1), sz(1) {
            v = vv;
            mi = vv;
        }

        //メモリプールをしたい時のためにnewにはラッパを用意しておく
        static NP make() {
            return new Node();
        }
        static NP make(D vv) {
            return new Node(vv);
        }

        //k番目の要素のポインタを取得する
        NP at_ptr(int k) {
            if (k == l->sz) return this;
            if (k < l->sz) {
                return l->at_ptr(k);
            } else {
                return r->at_ptr(k - (l->sz+1));
            }
        }

        void update() {
            sz = 1+l->sz+r->sz;
            mi = v;
            if (l->sz) {
                mi = min(mi, l->mi);
            }
            if (r->sz) {
                mi = min(mi, r->mi);
            }
        }
        D minv(int a, int b) {
            if (!sz || b <= 0 || sz <= a) return INF;
            if (a <= 0 && sz <= b) return mi;
            D res = INF;
            res = min(res, l->minv(a, b));
            if (a <= l->sz && l->sz < b) {
                res = min(res, v);
            }
            res = min(res, r->minv(a - (l->sz+1), b - (l->sz+1)));
            return res;
        }
        void set(int k, D x) {
            if (k == l->sz) {
                v = x;
                update();
                return;
            }
            if (k < l->sz) {
                l->set(k, x);
            } else {
                r->set(k - (l->sz+1), x);
            }
            update();
        }
    } *n;
    NP built(int sz, D d[]) {
        if (!sz) return last;
        int md = (sz-1)/2;
        NP n = Node::make(d[md]);
        n->l = built(md, d);
        n->r = built(sz-(md+1), d+(md+1));
        n->level = n->l->level+1;
        n->update();
        return n;
    }
    AATree() : n(last) {}
    AATree(NP n) : n(n) {}
    //木の初期化はn回insertより一気に作る方が有意に速くなる事が多い
    AATree(int sz, D d[]) {
        n = built(sz, d);
    }

    //AA木の基本動作であるskew/split splitは名前が紛らわしいためpullに変更してある
    NP skew(NP n) {
        if (n->level == n->l->level) {
            NP L = n->l;
            n->l = L->r;
            L->r = n;
            n->update(); L->update();
            return L;
        }
        return n;
    }
    NP pull(NP n) {
        if (n->level == n->r->level && n->r->level == n->r->r->level) {
            NP R = n->r;
            n->r = R->l;
            R->l = n;
            R->level++;
            n->update(); R->update();
            return R;
        }
        return n;
    }

    NP insert(NP n, int k, D x) {
        if (!n->sz) {
            assert(k == 0);
            return Node::make(x);
        }
        if (k <= n->l->sz) {
            n->l = insert(n->l, k, x);
            n->update();
            n = skew(n);
        } else {
            n->r = insert(n->r, k - (n->l->sz+1), x);
            n->update();
        }
        n = pull(n);
        return n;
    }
    NP leftdown(NP n) {
        assert(n->l->level < n->level);
        if (n->l->level == n->level-1) return n;
        n->level--;
        if (n->r->level == n->level) {
            n = pull(n);
        } else {
            n->r->level--;
            n->r = skew(n->r);
            n->r->r = skew(n->r->r);
            n = pull(n);
            n->r = pull(n->r);
        }
        return n;
    }
    NP rightdown(NP n) {
        assert(n->r->level <= n->level);
        if (n->r->level >= n->level-1) return n;
        n->level--;
        n = skew(n);
        n->r = skew(n->r);
        n = pull(n);
        return n;
    }
    NP superleftdown(NP n) {
        if (n->l->level == n->level-1) return n;
        if (n->level != n->r->level && n->r->level != n->r->r->level) {
            n->level--;
            n = superleftdown(n);
        } else {
            n = leftdown(n);
            n->l = superleftdown(n->l);
            n = leftdown(n);
        }
        return n;
    }
    NP superrightdown(NP n) {
        if (n->r->level >= n->level-1) return n;
        if (n->l->level != n->l->r->level) {
            n->level--;
            n = skew(n);
            n->r = superrightdown(n->r);
        } else {
            n = rightdown(n);
            n->r = superrightdown(n->r);
            n = rightdown(n);
        }
        return n;
    }
    NP remove(NP n, int k) {
        if (k == n->l->sz) {
            if (n->level == 1) {
                return n->r;
            }
            NP nn = n->r->at_ptr(0);
            nn->r = remove(n->r, 0);//この行と
            nn->l = n->l;//この行を入れ替えたら正しく動かないので注意
            nn->level = n->level;
            nn->update();
            return rightdown(nn);
        }
        if (k < n->l->sz) {
            n->l = remove(n->l, k);
            n->update();
            return leftdown(n);
        } else {
            n->r = remove(n->r, k - (n->l->sz+1));
            n->update();
            return rightdown(n);
        }
    }
    //pair<0番目の要素,0番目の要素を削除した木>
    pair<NP, NP> at0_with_remove(NP n) {
        if (!n->l->sz) {
            return {n, n->r};
        }
        auto x = at0_with_remove(n->l);
        n->l = x.second;
        n->update();
        x.second = leftdown(n);
        return x;
    }
    NP merge(NP l, NP r) {
        if (!l->sz) return r;
        if (!r->sz) return l;
        NP n;
        if (l->level == r->level) {
            auto x = at0_with_remove(r);
            NP n = x.first;
            n->r = x.second;
//            NP n = r->at_ptr(0);
//            n->r = remove(r, 0);
            n->l = l;
            n->level = l->level+1;
            n->update();
            return rightdown(n);
        }
        if (l->level > r->level) {
            l->r = merge(l->r, r);
            n = l;
        } else {
            r->l = merge(l, r->l);
            n = r;
        }
        n->update();
        n = skew(n);
        n = pull(n);
        return n;
    }

    pair<NP, NP> split(NP n, int k) {
        if (!n->sz) return {last, last};
        if (k <= n->l->sz) {
            auto y = split(n->l, k);
            n->l = y.second;
            n->update();
            n = superleftdown(n);
            y.second = n;
            return y;
        } else {
            auto y = split(n->r, k- (n->l->sz+1));
            n->r = y.first;
            n->update();
            n = superrightdown(n);
            y.first = n;
            return y;
        }
    }
    int sz() {
        return n->sz;
    }
    //木の基本動作4種
    void merge(AATree r) {
        n = merge(n, r.n);
    }
    AATree split(int k) {
        auto y = split(n, k);
        n = y.first;
        return AATree(y.second);
    }
    void insert(int k, D x) {
        n = insert(n, k, x);
    }
    void remove(int k) {
        n = remove(n, k);
    }

    D minv(int l, int r) {
        return n->minv(l, r);
    }
    void set(int k, D x) {
        n->set(k, x);
        return;
    }
};
template<class D>
typename AATree<D>::Node AATree<D>::last_d = AATree<D>::Node();
template<class D>
typename AATree<D>::NP AATree<D>::last = &AATree<D>::last_d;

const int MN = 200200;
ll a[MN];
int main() {
    int n, q;
    cin >> n >> q;
    for (int i = 0; i < n; i++) {
        cin >> a[i];
    }
    AATree<ll> atr(n, a);
    for (int i = 0; i < q; i++) {
        int x, y, z;
        cin >> x >> y >> z;
        if (x == 0) {
            int l = y, r = z;
            auto at0 = atr.split(r+1);
            auto at1 = atr.split(r);
            auto at2 = atr.split(l);
            atr.merge(at1);
            atr.merge(at2);
            atr.merge(at0);
        } else if (x == 1) {
            int l = y, r = z; r++;
            printf("%lld\n", atr.minv(l, r));
        } else {
            int l = y, val = z;
            atr.set(l, val);
        }
        //atr.tp();
    }
    return 0;
}