#include using namespace std; using int64 = long long; const int mod = 998244353; const int64 infll = (1LL << 60) - 1; const int inf = (1 << 30) - 1; struct IoSetup { IoSetup() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(10); cerr << fixed << setprecision(10); } } iosetup; template< typename T1, typename T2 > ostream &operator<<(ostream &os, const pair< T1, T2 > &p) { os << p.first << " " << p.second; return os; } template< typename T1, typename T2 > istream &operator>>(istream &is, pair< T1, T2 > &p) { is >> p.first >> p.second; return is; } template< typename T > ostream &operator<<(ostream &os, const vector< T > &v) { for(int i = 0; i < (int) v.size(); i++) { os << v[i] << (i + 1 != v.size() ? " " : ""); } return os; } template< typename T > istream &operator>>(istream &is, vector< T > &v) { for(T &in : v) is >> in; return is; } template< typename T1, typename T2 > inline bool chmax(T1 &a, T2 b) { return a < b && (a = b, true); } template< typename T1, typename T2 > inline bool chmin(T1 &a, T2 b) { return a > b && (a = b, true); } template< typename T = int64 > vector< T > make_v(size_t a) { return vector< T >(a); } template< typename T, typename... Ts > auto make_v(size_t a, Ts... ts) { return vector< decltype(make_v< T >(ts...)) >(a, make_v< T >(ts...)); } template< typename T, typename V > typename enable_if< is_class< T >::value == 0 >::type fill_v(T &t, const V &v) { t = v; } template< typename T, typename V > typename enable_if< is_class< T >::value != 0 >::type fill_v(T &t, const V &v) { for(auto &e : t) fill_v(e, v); } template< typename F > struct FixPoint : F { FixPoint(F &&f) : F(forward< F >(f)) {} template< typename... Args > decltype(auto) operator()(Args &&... args) const { return F::operator()(*this, forward< Args >(args)...); } }; template< typename F > inline decltype(auto) MFP(F &&f) { return FixPoint< F >{forward< F >(f)}; } template< typename SUM, typename KEY > struct LinkCutTreeSubtree { struct Node { Node *l, *r, *p; int belong; KEY key; SUM sum; bool rev; int sz; bool is_root() const { return !p || (p->l != this && p->r != this); } Node(const KEY &key, const SUM &sum) : key(key), sum(sum), rev(false), sz(1), belong(-1), l(nullptr), r(nullptr), p(nullptr) {} }; struct Edge { Node *p, *q; Edge(Node *p, Node *q) : p(p), q(q) {} }; const SUM ident; vector< Node * > control; LinkCutTreeSubtree(const SUM &ident) : ident(ident) {} Node *make_node(const KEY &key) { auto ret = new Node(key, ident); update(ret); return ret; } Node *set_key(Node *t, const KEY &key) { expose(t); t->key = key; update(t); return t; } void toggle(Node *t) { swap(t->l, t->r); t->sum.toggle(); t->rev ^= true; } void push(Node *t) { if(t->rev) { if(t->l) toggle(t->l); if(t->r) toggle(t->r); t->rev = false; } } void update(Node *t) { t->sz = 1; if(t->l) t->sz += t->l->sz; if(t->r) t->sz += t->r->sz; t->sum.merge(t->key, t->l ? t->l->sum : ident, t->r ? t->r->sum : ident); } void rotr(Node *t) { auto *x = t->p, *y = x->p; if((x->l = t->r)) t->r->p = x; t->r = x, x->p = t; update(x), update(t); if((t->p = y)) { if(y->l == x) y->l = t; if(y->r == x) y->r = t; update(y); } } void rotl(Node *t) { auto *x = t->p, *y = x->p; if((x->r = t->l)) t->l->p = x; t->l = x, x->p = t; update(x), update(t); if((t->p = y)) { if(y->l == x) y->l = t; if(y->r == x) y->r = t; update(y); } } void splay(Node *t) { push(t); Node *rot = t; while(!rot->is_root()) rot = rot->p; t->belong = rot->belong; if(~t->belong) control[t->belong] = t; while(!t->is_root()) { auto *q = t->p; if(q->is_root()) { push(q), push(t); if(q->l == t) rotr(t); else rotl(t); } else { auto *r = q->p; push(r), push(q), push(t); if(r->l == q) { if(q->l == t) rotr(q), rotr(t); else rotl(t), rotr(t); } else { if(q->r == t) rotl(q), rotl(t); else rotr(t), rotl(t); } } } } Node *expose(Node *t) { Node *rp = nullptr; for(auto *cur = t; cur; cur = cur->p) { splay(cur); if(cur->r) { cur->r->belong = (int) control.size(); control.emplace_back(cur->r); cur->sum.add(cur->r->sum, cur->r->belong); } cur->r = rp; if(cur->r) { cur->sum.erase(cur->r->sum, cur->r->belong); } update(cur); rp = cur; } splay(t); return rp; } void link(Node *child, Node *parent) { expose(child); expose(parent); child->p = parent; parent->r = child; update(parent); } void cut(Node *child) { expose(child); auto *parent = child->l; child->l = nullptr; parent->p = nullptr; update(child); } void evert(Node *t) { expose(t); toggle(t); push(t); } Node *lca(Node *u, Node *v) { if(get_root(u) != get_root(v)) return nullptr; expose(u); return expose(v); } Node *get_kth(Node *x, int k) { expose(x); while(x) { push(x); if(x->r && x->r->sz > k) { x = x->r; } else { if(x->r) k -= x->r->sz; if(k == 0) return x; k -= 1; x = x->l; } } return nullptr; } Node *get_root(Node *x) { expose(x); while(x->l) { push(x); x = x->l; } return x; } }; template< typename T, typename Compare = less< T > > struct PQ { priority_queue< T, vector< T >, Compare > que1, que2; multiset< T > st; PQ() = default; void push(T k) { st.emplace(k); que1.emplace(k); } void pop(T k) { que2.emplace(k); assert(st.count(k)); st.erase(st.find(k)); } optional< T > top() { while(que2.size() && que2.top() == que1.top()) { que2.pop(); que1.pop(); } if(que1.empty()) return nullopt; return que1.top(); } }; int main() { using pi = pair< int, int >; struct Sum { int64 all, pdist, cdist, sz, mdist, msz; PQ< pair< int64, int > > pq; Sum() : all(0), pdist(0), cdist(0), sz(0), mdist(0), msz(0) {} void toggle() { swap(pdist, cdist); } void merge(const pi &k, const Sum &parent, const Sum &child) { int key = k.first; bool sw = false; if(key == -1) { key = 0; sw = true; } all = parent.all + key + child.all; pdist = parent.pdist + (key + child.all) * (parent.sz + sw + msz) + child.pdist + mdist; cdist = child.cdist + (key + parent.all) * (child.sz + sw + msz) + parent.cdist + mdist; sz = parent.sz + child.sz + msz + sw; } void add(const Sum &chsum, int id) { mdist += chsum.cdist; msz += chsum.sz; pq.push({chsum.sz, id}); } void erase(const Sum &chsum, int id) { mdist -= chsum.cdist; msz -= chsum.sz; pq.pop({chsum.sz, id}); } } e; using LCT = LinkCutTreeSubtree< Sum, pi >; LCT lct(e); int N, Q; cin >> N >> Q; vector< LCT::Node * > vv(N), ee(Q); auto search = MFP([&](auto search, LCT::Node *t, int half, int pre) -> LCT::Node * { lct.push(t); int r = t->r ? t->r->sum.sz : 0; if(t->r && half <= pre + r) { return search(t->r, half, pre); } { auto res = t->sum.pq.top(); if(res) { auto ret = res.value(); if(half <= ret.first) { return search(lct.control[ret.second], half, 0); } } } int cur = (t->key.first == -1) + t->sum.msz + r; if(half <= cur) { return t; } return search(t->l, half, cur); }); int ptr = 0; for(int i = 0; i < N; i++) { vv[i] = lct.make_node(pi(-1, i)); } int64 S = 0; map< pair< int, int >, int > ex; int qs = 0; for(int i = 0; i < Q; i++) { int64 T, A, B, C; cin >> T >> A; A = (A - 1 + S) % N; if(T == 1) { cin >> B >> C; B = (B - 1 + S) % N; ee[ptr] = lct.make_node(pi(C, N + ptr)); lct.evert(vv[B]); lct.link(vv[B], ee[ptr]); lct.link(ee[ptr], vv[A]); ex[minmax(A, B)] = ptr++; } else if(T == 2) { cin >> B; B = (B - 1 + S) % N; lct.evert(vv[A]); auto it = ex.find(minmax(A, B)); lct.cut(ee[it->second]); lct.evert(ee[it->second]); ex.erase(it); lct.cut(vv[B]); } else { lct.set_key(vv[A], pi(vv[A]->key.first == -1 ? 0 : -1, A)); if(vv[A]->sum.sz <= 1) { cout << 0 << "\n"; } else { auto root = search(vv[A], (vv[A]->sum.sz - 1) / 2 + 1, 0); lct.evert(root); S += root->sum.cdist; cout << root->sum.cdist << "\n"; } } } }