#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< class T, size_t V > struct ArrayPool { array< T, V > pool; array< T *, V > stock; int ptr; ArrayPool() { clear(); } inline T *alloc() { return stock[--ptr]; } inline void free(T *t) { stock[ptr++] = t; } void clear() { ptr = (int) pool.size(); for(int i = 0; i < pool.size(); i++) stock[i] = &pool[i]; } }; template< typename key_t, size_t V > struct SplayTree { const key_t e; SplayTree(const key_t &e) : pool(), e(e) {} struct Node { Node *l, *r, *p; key_t key, sum; Node() = default; Node(const key_t &k) : key(k), sum(k), l(nullptr), r(nullptr), p(nullptr) {} }; ArrayPool< Node, V > pool; 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); } } inline key_t sum(const Node *t) const { return t ? t->sum : e; } void update(Node *t) { t->sum = t->key; if(t->l) t->sum = max(t->sum, t->l->sum); if(t->r) t->sum = max(t->sum, t->r->sum); } Node *get_left(Node *t) const { while(t->l) t = t->l; return t; } Node *get_right(Node *t) const { while(t->r) t = t->r; return t; } inline Node *alloc(const key_t &v) { return &(*pool.alloc() = Node(v)); } void splay(Node *t) { while(t->p) { auto *q = t->p; if(!q->p) { if(q->l == t) rotr(t); else rotl(t); } else { auto *r = q->p; 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 *push_back(Node *t, const key_t &v) { if(!t) { t = alloc(v); return t; } else { Node *cur = get_right(t), *z = alloc(v); z->p = cur; cur->r = z; update(cur); splay(z); return z; } } Node *erase(Node *t) { splay(t); Node *x = t->l, *y = t->r; pool.free(t); if(!x) { t = y; if(t) t->p = nullptr; } else if(!y) { t = x; t->p = nullptr; } else { x->p = nullptr; t = get_right(x); splay(t); t->r = y; y->p = t; update(t); } return t; } }; template< typename SUM, typename KEY, size_t V > struct LinkCutTreeSubtree { struct Node { Node *l, *r, *p; typename SplayTree< pair< int64_t, Node * >, V >::Node *light, *belong; KEY key; SUM sum; bool rev; Node() = default; 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), belong(nullptr), l(nullptr), r(nullptr), p(nullptr), light(nullptr) {} }; using ST = SplayTree< pair< int64_t, Node * >, V >; ST st; const SUM ident; ArrayPool< Node, V > pool; LinkCutTreeSubtree(const SUM &ident) : ident(ident), st(make_pair(-infll, nullptr)), pool() {} Node *alloc(const KEY &key) { auto ret = &(*pool.alloc() = 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->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 != rot) rot->belong = nullptr; 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->light = st.push_back(cur->light, {cur->r->sum.sz, cur->r}); cur->r->belong = cur->light; cur->sum.add(cur->r->sum); } cur->r = rp; if(cur->r) { cur->light = st.erase(cur->r->belong); cur->sum.erase(cur->r->sum); } 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; } }; struct Scanner { FILE *fp = nullptr; char line[(1 << 15) + 1]; size_t st = 0, ed = 0; void reread() { memmove(line, line + st, ed - st); ed -= st; st = 0; ed += fread(line + ed, 1, (1 << 15) - ed, fp); line[ed] = '\0'; } bool succ() { while(true) { if(st == ed) { reread(); if(st == ed) return false; } while(st != ed && isspace(line[st])) st++; if(st != ed) break; } if(ed - st <= 50) reread(); return true; } template< class T, enable_if_t< is_same< T, string >::value, int > = 0 > bool read_single(T &ref) { if(!succ()) return false; while(true) { size_t sz = 0; while(st + sz < ed && !isspace(line[st + sz])) sz++; ref.append(line + st, sz); st += sz; if(!sz || st != ed) break; reread(); } return true; } template< class T, enable_if_t< is_integral< T >::value, int > = 0 > bool read_single(T &ref) { if(!succ()) return false; bool neg = false; if(line[st] == '-') { neg = true; st++; } ref = T(0); while(isdigit(line[st])) { ref = 10 * ref + (line[st++] - '0'); } if(neg) ref = -ref; return true; } template< class T > bool read_single(vector< T > &ref) { for(auto &d : ref) { if(!read_single(d)) return false; } return true; } void read() {} template< class H, class... T > void read(H &h, T &... t) { bool f = read_single(h); assert(f); read(t...); } Scanner(FILE *_fp) : fp(_fp) {} }; struct Printer { public: template< bool F = false > void write() {} template< bool F = false, class H, class... T > void write(const H &h, const T &... t) { if(F) write_single(' '); write_single(h); write< true >(t...); } template< class... T > void writeln(const T &... t) { write(t...); write_single('\n'); } Printer(FILE *_fp) : fp(_fp) {} ~Printer() { flush(); } private: static constexpr size_t SIZE = 1 << 15; FILE *fp; char line[SIZE], small[50]; size_t pos = 0; void flush() { fwrite(line, 1, pos, fp); pos = 0; } void write_single(const char &val) { if(pos == SIZE) flush(); line[pos++] = val; } template< class T, enable_if_t< is_integral< T >::value, int > = 0 > void write_single(T val) { if(pos > (1 << 15) - 50) flush(); if(val == 0) { write_single('0'); return; } if(val < 0) { write_single('-'); val = -val; // todo min } size_t len = 0; while(val) { small[len++] = char('0' + (val % 10)); val /= 10; } reverse(small, small + len); memcpy(line + pos, small, len); pos += len; } void write_single(const string &s) { for(char c : s) write_single(c); } void write_single(const char *s) { size_t len = strlen(s); for(size_t i = 0; i < len; i++) write_single(s[i]); } template< class T > void write_single(const vector< T > &val) { auto n = val.size(); for(size_t i = 0; i < n; i++) { if(i) write_single(' '); write_single(val[i]); } } }; int main() { using Key = pair< bool, int >; struct Sum { int64 all, pdist, cdist, mdist; int sz, msz; Sum() : all(0), pdist(0), cdist(0), sz(0), mdist(0), msz(0) {} void toggle() { swap(pdist, cdist); } void merge(const Key &key, const Sum &parent, const Sum &child) { if(key.first) { all = parent.all + key.second + child.all; pdist = parent.pdist + (child.all + key.second) * (parent.sz + msz) + child.pdist + mdist; cdist = child.cdist + (parent.all + key.second) * (child.sz + msz) + parent.cdist + mdist; sz = parent.sz + child.sz + msz; } else { all = parent.all + child.all; pdist = parent.pdist + child.all * (parent.sz + msz + key.second) + child.pdist + mdist; cdist = child.cdist + parent.all * (child.sz + msz + key.second) + parent.cdist + mdist; sz = parent.sz + key.second + child.sz + msz; } } void add(const Sum &chsum) { mdist += chsum.cdist; msz += chsum.sz; } void erase(const Sum &chsum) { mdist -= chsum.cdist; msz -= chsum.sz; } } e; Scanner in(stdin); Printer out(stdout); using LCT = LinkCutTreeSubtree< Sum, Key, 400000 >; int N, Q; in.read(N, Q); LCT lct(e); 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); if(t->light) { lct.st.splay(t->light); auto ret = t->light->sum; if(half <= ret.first) { lct.splay(ret.second); return search(ret.second, half, 0); } } int cur = (!t->key.first && t->key.second) + t->sum.msz + r + pre; if(half <= cur) return t; return search(t->l, half, cur); }); int ptr = 0; for(int i = 0; i < N; i++) { vv[i] = lct.alloc(Key(false, 1)); } int64 S = 0; for(int i = 0; i < Q; i++) { int64 T, A, B, C; in.read(T, A); A = (A - 1 + S) % N; if(T == 1) { in.read(B, C); B = (B - 1 + S) % N; ee[ptr] = lct.alloc(Key(true, C)); lct.evert(vv[B]); lct.link(vv[B], ee[ptr]); lct.link(ee[ptr], vv[A]); } else if(T == 2) { in.read(B); B = (B - 1 + S) % N; lct.evert(vv[A]); lct.cut(vv[B]); } else { lct.set_key(vv[A], Key(false, 1 - vv[A]->key.second)); if(vv[A]->sum.sz <= 1) { out.writeln(0); } else { auto root = search(vv[A], (vv[A]->sum.sz - 1) / 2 + 1, 0); lct.expose(root); S += root->sum.pdist; S %= N; out.writeln(root->sum.pdist); } } } }