// #define _GLIBCXX_DEBUG // for STL debug (optional) #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using ll = long long int; using int64 = long long int; template void chmax(T &a, T b) {a = max(a, b);} template void chmin(T &a, T b) {a = min(a, b);} template void chadd(T &a, T b) {a = a + b;} int dx[] = {0, 0, 1, -1}; int dy[] = {1, -1, 0, 0}; const int INF = 1LL << 29; const ll LONGINF = 1LL << 60; const ll MOD = 1000000007LL; /** * @brief Union-Find * @docs ./docs/union_find.md */ #include #include struct UnionFind { private: const int n; int size_; vector uf; public: // 初期化 UnionFind uni(n) のように宣言すれば良い UnionFind(int _n) : n(_n), size_(_n), uf(_n, -1) {} // find (木の根を求める) int find(int x) {return (uf[x] < 0) ? x : uf[x] = find(uf[x]);} // x と y が同じ集合に属するかどうか bool same(int x, int y) {return find(x) == find(y);} // x が属する集合の要素数 int size(int x) {return -uf[find(x)];} // 集合はいくつあるか int size() {return size_;} // x と y の属する集合を併合 bool unite(int x, int y) { x = find(x); y = find(y); if(x == y) return false; size_--; if(-uf[x] < -uf[y]) swap(x, y); uf[x] += uf[y]; uf[y] = x; return true; } void reset() { size_ = n; fill(uf.begin(), uf.end(), -1); } }; // @category セグメント木 (Segment Tree) // @title 遅延伝播セグメント木 (Lazy Segment Tree) template struct LazySegmentTree { using MMtoM = function< MonoidType(MonoidType, MonoidType) >; using OOtoO = function< OperatorType(OperatorType, OperatorType) >; using MOtoM = function< MonoidType(MonoidType, OperatorType) >; using OItoO = function< OperatorType(OperatorType, int) >; // node, lazy, update flag (for lazy), identity element int n; vector node; vector lazy; vector need_update; MonoidType E0; OperatorType E1; // update / combine / lazy / accumulate function MOtoM upd_f; MMtoM cmb_f; OOtoO lzy_f; OItoO acc_f; void build(int m, vector v = vector()) { if(v != vector()) m = v.size(); n = 1; while(n < m) n *= 2; node = vector(2*n-1, E0); lazy = vector(2*n-1, E1); need_update = vector(2*n-1, false); if(v != vector()) { for(int i=0; i=0; i--) { node[i] = cmb_f(node[2*i+1], node[2*i+2]); } } } // initialize LazySegmentTree() {} LazySegmentTree(int n_, MonoidType E0_, OperatorType E1_, MOtoM upd_f_, MMtoM cmb_f_, OOtoO lzy_f_, OItoO acc_f_, vector v = vector()) : E0(E0_), E1(E1_), upd_f(upd_f_), cmb_f(cmb_f_), lzy_f(lzy_f_), acc_f(acc_f_) { build(n_, v); } void eval(int k, int l, int r) { if(!need_update[k]) return; node[k] = upd_f(node[k], acc_f(lazy[k], r - l)); if(r - l > 1) { lazy[2*k+1] = lzy_f(lazy[2*k+1], lazy[k]); lazy[2*k+2] = lzy_f(lazy[2*k+2], lazy[k]); need_update[2*k+1] = need_update[2*k+2] = true; } lazy[k] = E1; need_update[k] = false; } void update(int a, int b, OperatorType x, int l, int r, int k) { eval(k, l, r); if(b <= l or r <= a) return; if(a <= l and r <= b) { lazy[k] = lzy_f(lazy[k], x); need_update[k] = true; eval(k, l, r); } else { int mid = (l + r) / 2; update(a, b, x, l, mid, 2*k+1); update(a, b, x, mid, r, 2*k+2); node[k] = cmb_f(node[2*k+1], node[2*k+2]); } } MonoidType query(int a, int b, int l, int r, int k) { if(b <= l or r <= a) return E0; eval(k, l, r); if(a <= l and r <= b) return node[k]; int mid = (l + r) / 2; MonoidType vl = query(a, b, l, mid, 2*k+1); MonoidType vr = query(a, b, mid, r, 2*k+2); return cmb_f(vl, vr); } // update [a, b)-th element (applied value, x) void update(int a, int b, OperatorType x) { update(a, b, x, 0, n, 0); } // range query for [a, b) MonoidType query(int a, int b) { return query(a, b, 0, n, 0); } void dump() { fprintf(stderr, "[lazy]\n"); for(int i=0; i<2*n-1; i++) { if(i == n-1) fprintf(stderr, "xxx "); if(lazy[i] == E1) fprintf(stderr, " E "); else fprintf(stderr, "%3d ", lazy[i]); } fprintf(stderr, "\n"); fprintf(stderr, "[node]\n"); for(int i=0; i<2*n-1; i++) { if(i == n-1) fprintf(stderr, "xxx "); if(node[i] == E0) fprintf(stderr, " E "); else fprintf(stderr, "%3d ", node[i]); } fprintf(stderr, "\n"); } }; int main() { int N, Q; scanf("%d%d", &N, &Q); const int V = 2*N; vector< tuple > queries; vector rec(V); iota(rec.begin(), rec.end(), 0); UnionFind uf(V); int id = N; vector< vector > G(V); vector head(V); fill(head.begin(), head.begin() + N, true); while(Q--) { int t, a, b; scanf("%d%d%d", &t, &a, &b); queries.emplace_back(t, a, b); if(t == 1) { a--; b--; int u = uf.find(a), v = uf.find(b); int x = rec[u], y = rec[v]; if(!uf.same(u, v)) { head[id] = true; head[x] = head[y] = false; G[id].emplace_back(x); G[id].emplace_back(y); G[x].emplace_back(id); G[y].emplace_back(id); uf.unite(u, v); u = uf.find(a); rec[u] = id++; } } } for(int i=0; i in(V), out(V); int e_id = 0; auto dfs = [&](auto &&self, int cur, int par) -> void { in[cur] = e_id++; for(auto to : G[cur]) { if(to == par) continue; self(self, to, cur); } out[cur] = e_id; }; dfs(dfs, id, -1); LazySegmentTree seg(V, 0, 0, [](ll a, ll b) { return a + b; }, [](ll a, ll b) { return a + b; }, [](ll a, ll b) { return a + b; }, [](ll a, int x) { return a * x; }); uf.reset(); id = N; iota(rec.begin(), rec.end(), 0); for(auto q : queries) { int t, a, b; tie(t, a, b) = q; if(t == 1) { a--; b--; int u = uf.find(a), v = uf.find(b); if(!uf.same(u, v)) { uf.unite(u, v); u = uf.find(a); rec[u] = id++; } } if(t == 2) { a = uf.find(a-1); int u = rec[a]; seg.update(in[u], out[u], b); } if(t == 3) { a--; printf("%lld\n", seg.query(in[a], in[a] + 1)); } } return 0; }