#include using namespace std; using uint = unsigned int; using ll = long long; using ull = unsigned long long; template using V = vector; template using VV = V>; constexpr ll TEN(int n) { return (n == 0) ? 1 : 10 * TEN(n-1); } struct TTNode { using NP = TTNode*; bool rev = false; array, 2> ch = {}; //tree, light-tree NP p = nullptr, lt = nullptr; struct D { ll cnt = 0, pd = 0, upd = 0, dwd = 0; // l is parent of r static D merge_h(const D& l, const D& r) { return {l.cnt + r.cnt, l.pd + r.pd, l.upd + r.upd + l.pd * r.cnt, l.dwd + r.dwd + r.pd * l.cnt}; } // l and r is parallel static D merge_w(const D& l, const D& r) { assert(!l.pd && !r.pd && !l.dwd && !r.dwd); return {l.cnt + r.cnt, 0, l.upd + r.upd, 0}; } // add parent for r(subtrees) static D join(const D& l, const D& r) { assert(l.upd == l.dwd); return {l.cnt + r.cnt, l.pd, l.upd + r.upd + l.pd * r.cnt, l.dwd + r.upd + l.pd * r.cnt}; } D rev() { return D{cnt, pd, dwd, upd}; } D to_subs() { return D{cnt, 0, upd, 0}; } }; D single = D(), sub = D(), subs = D(); NP search(ll nw, ll f) { //search heavy assert(sub.cnt >= nw); push(); if (ch[0][1] && ch[0][1]->sub.cnt >= nw) return ch[0][1]->search(nw, f); if (ch[0][1]) nw -= ch[0][1]->sub.cnt; if (single.cnt + (lt ? lt->subs.cnt : 0) >= nw) { if (!lt || lt->subs.cnt < f) return this; auto q = lt->search_light(f); if (!q) return this; return q; } nw -= single.cnt; if (lt) nw -= lt->subs.cnt; assert(ch[0][0]); return ch[0][0]->search(nw, f); } NP search_light(ll f) { assert(subs.cnt >= f); if (sub.cnt >= f) { return search(f, f); } push(); if (ch[1][0] && ch[1][0]->subs.cnt >= f) return ch[1][0]->search_light(f); if (ch[1][1] && ch[1][1]->subs.cnt >= f) return ch[1][1]->search_light(f); expose(); return nullptr; } void init_node(ll cnt, ll d) { single.cnt = cnt; single.pd = d; single.upd = single.dwd = cnt * d; update(); } void update_subs() { subs = sub.to_subs(); if (ch[1][0]) subs = D::merge_w(ch[1][0]->subs, subs); if (ch[1][1]) subs = D::merge_w(subs, ch[1][1]->subs); } void update() { assert(!rev); sub = single; if (lt) sub = D::join(single, lt->subs); if (ch[0][0]) sub = D::merge_h(ch[0][0]->sub, sub); if (ch[0][1]) sub = D::merge_h(sub, ch[0][1]->sub); update_subs(); } void revdata() { rev ^= true; swap(ch[0][0], ch[0][1]); // Important sub = sub.rev(); update_subs(); } void push() { if (rev) { if (ch[0][0]) ch[0][0]->revdata(); if (ch[0][1]) ch[0][1]->revdata(); rev = false; } } //optimize? : template int pos(int ty) { if (p) { if (p->ch[ty][0] == this) return 0; if (p->ch[ty][1] == this) return 1; } return -1; } static void con(NP p, NP& cp, NP ch) { cp = ch; if (ch) ch->p = p; } void rot(int ty) { int ps = pos(ty); NP _p = p, q = p->p; if (ty == 0) { ch[1] = _p->ch[1]; _p->ch[1].fill(nullptr); for (auto& x: ch[1]) if (x) x->p = this; } con(_p, _p->ch[ty][ps], ch[ty][1-ps]); con(this, ch[ty][1-ps], _p); _p->update(); update(); p = q; if (!q) return; if (q->lt == _p) q->lt = this; for (auto& v: q->ch) for (auto& x: v) if (x == _p) x = this; q->update(); } void splay(int ty) { int ps; while ((ps = pos(ty)) != -1) { int pps = p->pos(ty); if (pps == -1) { rot(ty); } else if (ps == pps) { p->rot(ty); rot(ty); } else { rot(ty); rot(ty); } } } void expose() { supush(); splay(0); splay(1); if (NP z = ch[0][1]) { z->push(); con(z, z->ch[1][1], lt); lt = z; ch[0][1] = nullptr; z->update(); update(); } NP u = p; while (u) { u->splay(0); u->splay(1); NP ur = u->lt; if (auto r = u->ch[0][1]) { // swap ur, r r->push(); r->ch[1] = ur->ch[1]; ur->ch[1].fill(nullptr); for (auto& x: r->ch[1]) if (x) x->p = r; r->update(); u->lt = r; } else if (!ur->ch[1][0]) { // use ur->ch[1][1] con(u, u->lt, ur->ch[1][1]); } else { // use prev(ur) in light-tree NP q = ur->ch[1][0]; con(u, u->lt, q); q->push(); while (q->ch[1][1]) { q = q->ch[1][1]; q->push(); } q->splay(1); con(q, q->ch[1][1], ur->ch[1][1]); q->update(); } ur->ch[1].fill(nullptr); ur->update(); u->ch[0][1] = ur; u->update(); u = u->p; } splay(0); } void supush() { if (p) p->supush(); push(); } void link(NP r) { evert(); r->expose(); assert(!r->ch[0][1]); con(r, r->ch[0][1], this); r->update(); } void cut() { expose(); assert(ch[0][0]); ch[0][0]->p = nullptr; ch[0][0] = nullptr; update(); } void evert() { expose(); revdata(); expose(); } }; const int MN = 100500; const int MQ = 300500; TTNode vtr[MN + MQ]; int main() { // ios::sync_with_stdio(false); // Warning!!!!! // cin.tie(nullptr); int n, q; scanf("%d %d", &n, &q); for (int i = 0; i < n; i++) { vtr[i].init_node(1, 0); } unordered_map mp; for (int ph = 0; ph < q; ph++) { int ty; scanf("%d", &ty); if (ty == 1) { int a, b; ll c; scanf("%d %d %lld", &a, &b, &c); a--; b--; if (a > b) swap(a, b); mp[(ll(a)<<32)|b] = ph; vtr[n + ph].init_node(0, c); vtr[a].evert(); vtr[a].link(vtr + n + ph); vtr[n + ph].link(vtr + b); } else if (ty == 2) { int a, b; scanf("%d %d", &a, &b); a--; b--; if (a > b) swap(a, b); int c = mp[(ll(a)<<32)|b]; vtr[a].evert(); vtr[n + c].cut(); vtr[b].cut(); } else if (ty == 3) { int a; scanf("%d", &a); a--; vtr[a].evert(); vtr[a].init_node(1 - vtr[a].single.cnt, 0); int z = (vtr[a].sub.cnt + 1) / 2; auto p = vtr[a].search(z, z); p->evert(); printf("%lld\n", p->sub.upd); } else { assert(false); } } return 0; }