#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define allof(obj) (obj).begin(), (obj).end() #define range(i, l, r) for(int i=l;i>1)|y_bit)) #define bit_kth(i, k) ((i >> k)&1) #define bit_highest(i) (i?63-__builtin_clzll(i):-1) #define bit_lowest(i) (i?__builtin_ctzll(i):-1) #define sleepms(t) std::this_thread::sleep_for(std::chrono::milliseconds(t)) using ll = long long; using ld = long double; using ul = uint64_t; using pi = std::pair; using pl = std::pair; using namespace std; template std::ostream &operator << (std::ostream &dest, const std::pair &p) { dest << p.first << ' ' << p.second; return dest; } template std::ostream &operator << (std::ostream &dest, const std::tuple &t) { dest << std::get<0>(t) << ' ' << std::get<1>(t); return dest; } template std::ostream &operator << (std::ostream &dest, const std::tuple &t) { dest << std::get<0>(t) << ' ' << std::get<1>(t) << ' ' << std::get<2>(t); return dest; } template std::ostream &operator << (std::ostream &dest, const std::tuple &t) { dest << std::get<0>(t) << ' ' << std::get<1>(t) << ' ' << std::get<2>(t) << ' ' << std::get<3>(t); return dest; } template std::ostream &operator << (std::ostream &dest, const std::vector> &v) { int sz = v.size(); if (!sz) return dest; for (int i = 0; i < sz; i++) { int m = v[i].size(); for (int j = 0; j < m; j++) dest << v[i][j] << (i != sz - 1 && j == m - 1 ? '\n' : ' '); } return dest; } template std::ostream &operator << (std::ostream &dest, const std::vector &v) { int sz = v.size(); if (!sz) return dest; for (int i = 0; i < sz - 1; i++) dest << v[i] << ' '; dest << v[sz - 1]; return dest; } template std::ostream &operator << (std::ostream &dest, const std::array &v) { if (!sz) return dest; for (int i = 0; i < sz - 1; i++) dest << v[i] << ' '; dest << v[sz - 1]; return dest; } template std::ostream &operator << (std::ostream &dest, const std::set &v) { for (auto itr = v.begin(); itr != v.end();) { dest << *itr; itr++; if (itr != v.end()) dest << ' '; } return dest; } template std::ostream &operator << (std::ostream &dest, const std::map &v) { for (auto itr = v.begin(); itr != v.end(); ) { dest << '(' << itr->first << ", " << itr->second << ')'; itr++; if (itr != v.end()) dest << '\n'; } return dest; } template vector make_vec(size_t sz, T val) { return std::vector(sz, val); } template auto make_vec(size_t sz, Tail ...tail) { return std::vector(tail...))>(sz, make_vec(tail...)); } template vector read_vec(size_t sz) { std::vector v(sz); for (int i = 0; i < (int)sz; i++) std::cin >> v[i]; return v; } template auto read_vec(size_t sz, Tail ...tail) { auto v = std::vector(tail...))>(sz); for (int i = 0; i < (int)sz; i++) v[i] = read_vec(tail...); return v; } // x / y以上の最小の整数 ll ceil_div(ll x, ll y) { assert(y > 0); return (x + (x > 0 ? y - 1 : 0)) / y; } // x / y以下の最大の整数 ll floor_div(ll x, ll y) { assert(y > 0); return (x + (x > 0 ? 0 : -y + 1)) / y; } void io_init() { std::cin.tie(nullptr); std::ios::sync_with_stdio(false); } #include // サイズは空白や改行も含めた文字数 template struct fast_io { char ibuf[size_in], obuf[size_out]; char *ip, *op; fast_io() : ip(ibuf), op(obuf) { int t = 0, k = 0; while ((k = read(STDIN_FILENO, ibuf + t, sizeof(ibuf) - t)) > 0) { t += k; } } ~fast_io() { int t = 0, k = 0; while ((k = write(STDOUT_FILENO, obuf + t, op - obuf - t)) > 0) { t += k; } } long long in() { long long x = 0; bool neg = false; for (; *ip < '+'; ip++) ; if (*ip == '-'){ neg = true; ip++;} else if (*ip == '+') ip++; for (; *ip >= '0'; ip++) x = 10 * x + *ip - '0'; if (neg) x = -x; return x; } unsigned long long inu64() { unsigned long long x = 0; for (; *ip < '+'; ip++) ; if (*ip == '+') ip++; for (; *ip >= '0'; ip++) x = 10 * x + *ip - '0'; return x; } char in_char() { for (; *ip < '!'; ip++) ; return *ip++; } void out(long long x, char c = 0) { static char tmp[20]; if (!x) { *op++ = '0'; } else { int i; if (x < 0) { *op++ = '-'; x = -x; } for (i = 0; x; i++) { tmp[i] = x % 10; x /= 10; } for (i--; i >= 0; i--) *op++ = tmp[i] + '0'; } if (c) *op++ = c; } void outu64(unsigned long long x, char c = 0) { static char tmp[20]; if (!x) { *op++ = '0'; } else { int i; for (i = 0; x; i++) { tmp[i] = x % 10; x /= 10; } for (i--; i >= 0; i--) *op++ = tmp[i] + '0'; } if (c) *op++ = c; } void out_char(char x, char c = 0){ *op++ = x; if (c) *op++ = c; } long long memory_size() { return (long long)(size_in + size_out) * sizeof(char); } }; template struct centroid_dynamic { struct T { W distsum, distsum_rev, w, wsum, len, lensum; T() : distsum(0), distsum_rev(0), w(0), wsum(0), len(0), lensum(0) {} }; struct U { W distsum, wsum; U() : distsum(0), wsum(0) {} }; struct node; struct node_in { node_in *lch, *rch, *par; W wmax; node *c, *wmaxnode; node_in(node *_self) : lch(nullptr), rch(nullptr), par(nullptr), wmax(_self->x.wsum), c(_self), wmaxnode(_self) {} bool is_root() { return !par; } }; struct node { node *lch, *rch, *par; bool _flip; T x; U y; node_in *lic, *lip; node() : lch(nullptr), rch(nullptr), par(nullptr), _flip(false), x(), y(), lic(nullptr), lip(nullptr) {} bool is_root() { return !par || (par->lch != this && par->rch != this); } }; // 重みwの頂点 static node *make_node(W w) { node *v = new node(); v->x.w = v->x.wsum = w; return v; } // 長さlenの辺 static node *make_edge(W len) { node *v = new node(); v->x.len = v->x.lensum = len; return v; } static void update(node *v) { if (v->lch && v->lch->lip) std::swap(v->lip, v->lch->lip); if (v->rch && v->rch->lip) std::swap(v->lip, v->rch->lip); T lsum = (v->lch ? v->lch->x : T()); T rsum = (v->rch ? v->rch->x : T()); W a = lsum.distsum + lsum.lensum * v->x.w; W b = lsum.wsum + v->x.w; W c = lsum.lensum + v->x.len; W d = v->y.distsum + rsum.distsum; W e = v->y.wsum + rsum.wsum; v->x.distsum = a + d + c * e; v->x.distsum_rev = (rsum.distsum_rev + rsum.lensum * v->x.w) + (v->y.distsum + lsum.distsum_rev) + (rsum.lensum + v->x.len) * (v->y.wsum + lsum.wsum); v->x.wsum = b + e; v->x.lensum = c + rsum.lensum; } static void update(node_in *v) { v->wmax = v->c->x.wsum; v->wmaxnode = v->c; if (v->lch && v->wmax < v->lch->wmax) { v->wmax = v->lch->wmax; v->wmaxnode = v->lch->wmaxnode; } if (v->rch && v->wmax < v->rch->wmax) { v->wmax = v->rch->wmax; v->wmaxnode = v->rch->wmaxnode; } } static void push(node_in *v) {} static void flip(node *v) { v->_flip = !v->_flip; std::swap(v->x.distsum, v->x.distsum_rev); std::swap(v->lch, v->rch); } static void push(node *v) { if (v->_flip) { if (v->lch) flip(v->lch); if (v->rch) flip(v->rch); v->_flip = false; } } template static void splay(Node *v) { push(v); while (!v->is_root()) { Node *p = v->par; if (p->is_root()) { push(p), push(v); Node *pp = p->par; if(p->lch == v) { if ((p->lch = v->rch)) p->lch->par = p; update(p); v->rch = p; p->par = v; update(v); } else { if ((p->rch = v->lch)) p->rch->par = p; update(p); v->lch = p; p->par = v; update(v); } v->par = pp; } else { Node *pp = p->par; Node *ppp = pp->par; push(pp), push(p), push(v); if (pp->lch == p) { if (p->lch == v) { if ((pp->lch = p->rch)) pp->lch->par = pp; update(pp); p->rch = pp; pp->par = p; if ((p->lch = v->rch)) p->lch->par = p; update(p); v->rch = p; p->par = v; update(v); } else { if ((p->rch = v->lch)) p->rch->par = p; update(p); if ((pp->lch = v->rch)) pp->lch->par = pp; update(pp); v->lch = p; v->rch = pp; p->par = pp->par = v; update(v); } } else { if(p->rch == v) { if ((pp->rch = p->lch)) pp->rch->par = pp; update(pp); p->lch = pp; pp->par = p; if ((p->rch = v->lch)) p->rch->par = p; update(p); v->lch = p; p->par = v; update(v); } else { if ((p->lch = v->rch)) p->lch->par = p; update(p); if ((pp->rch = v->lch)) pp->rch->par = pp; update(pp); v->rch = p; v->lch = pp; p->par = pp->par = v; update(v); } } if ((v->par = ppp)) { if (ppp->lch == pp) ppp->lch = v; if (ppp->rch == pp) ppp->rch = v; } } } if constexpr (std::is_same::value == true) { if (v->lip) { v->lip->c = v; } } } static node* expose(node *v) { node *c = nullptr; for (node *u = v; u; u = u->par) { splay(u); node *r = u->rch; if (c) { u->y.distsum -= c->x.distsum; u->y.wsum -= c->x.wsum; } if (r) { u->y.distsum += r->x.distsum; u->y.wsum += r->x.wsum; } if (c && r) { node_in *p = c->lip; std::swap(c->lip, r->lip); p->c = r; update(p); splay(p); u->lic = p; } else if (c) { node_in *p = c->lip; c->lip = nullptr; splay(p); if (!p->lch || !p->rch) { if (p->rch) std::swap(p->lch, p->rch); if ((u->lic = p->lch)) p->lch->par = nullptr; } else { node_in *L = p->lch, *R = p->rch; R->par = nullptr; while (R->lch) R = R->lch; splay(R); R->lch = L; L->par = R; update(R); u->lic = R; } } else if (r) { node_in *p = new node_in(r); if ((p->rch = u->lic)) { p->rch->par = p; update(p); } u->lic = r->lip = p; } u->rch = c; update(u); c = u; } splay(v); return c; } // vを根にする static void evert(node *v) { expose(v); flip(v); } // 非連結であることが保証されている場合 static void _link(node *p, node *c) { evert(c); expose(p); c->par = p; p->rch = c; update(p); } // 辺eを使って繋ぐ(eが孤立点でないと壊れる) static void _link_with_edge(node *p, node *e, node *c) { evert(c); expose(p); p->rch = e; e->par = p; e->lch = nullptr; e->rch = c; c->par = e; update(e); update(p); } // cの親との辺を切る static void cut_from_parent(node *c){ expose(c); node *p = c->lch; if (p == nullptr) return; c->lch = p->par = nullptr; update(c); } // 辺(a, b)があることが保証されている場合 static void _cut(node *u, node *v) { evert(u); cut_from_parent(v); } // 辺eが繋ぐ2頂点を分離(eが次数2でないと壊れる) static void _cut_with_edge(node *e) { expose(e); assert(e->lch && !e->rch && e->lic); e->lch->par = nullptr; e->lch = nullptr; node *r = e->lic->c; e->lic = nullptr; update(e); r->lip = nullptr; } // 連結なことが保証されている場合 static node *_lca(node *u, node *v) { expose(u); return expose(v); } static bool is_there_edge(node *u, node *v) { evert(u); return u == get_parent(v); } static node *get_root(node *v) { expose(v); while (v->lch) { push(v); v = v->lch; } splay(v); return v; } static node *get_parent(node *v) { expose(v); if (!v->lch) return nullptr;// aが根 push(v); v = v->lch; while (v->rch) { push(v); v = v->rch; } splay(v); return v; } // 同じ連結成分か static bool is_same(node *u, node *v) { if (!u || !v) return false; return get_root(u) == get_root(v); } static node *centroid(node *v) { expose(v); W wsum = v->x.wsum; if (wsum == 0) return v; while (true) { W subsum = 0; node *u = nullptr, *k = nullptr; while (v) { k = v; push(v); W rsum = v->x.w + v->y.wsum + subsum + (v->rch ? v->rch->x.wsum : 0); if (wsum <= 2 * rsum) { u = v; v = v->rch; } else { subsum = rsum; v = v->lch; } } splay(k); v = u; if (!v->lic || 2 * v->lic->wmax <= wsum) { expose(v); return v; } v = v->lic->wmaxnode; splay(v); } } }; int main() { fast_io<1 << 25, 1 << 24> io; int N = io.in(); int Q = io.in(); using tree = centroid_dynamic; using node = tree::node; std::vector V(N); for (int i = 0; i < N; i++) V[i] = tree::make_node(1); map, node*> mp; long long S = 0; for (int i = 0; i < Q; i++) { int t = io.in(); if (t == 1) { int a = io.in(); int b = io.in(); int c = io.in(); a = (a - 1 + S) % N; b = (b - 1 + S) % N; auto e = tree::make_edge(c); if (a > b) std::swap(a, b); mp[{a, b}] = e; tree::_link_with_edge(V[a], e, V[b]); } else if (t == 2) { int a = io.in(); int b = io.in(); a = (a - 1 + S) % N; b = (b - 1 + S) % N; if (a > b) std::swap(a, b); auto e = mp[{a, b}]; //tree::_cut_with_edge(e); tree::_cut(V[a], e); tree::_cut(V[b], e); } else { int a = io.in(); a = (a - 1 + S) % N; bool f = V[a]->x.w; tree::expose(V[a]); V[a]->x.w = !f; tree::update(V[a]); auto v = tree::centroid(V[a]); long long ans = v->x.distsum_rev; io.out(ans, '\n'); S = (S + ans) % N; } } }