結果
| 問題 |
No.1054 Union add query
|
| コンテスト | |
| ユーザー |
 noya2
|
| 提出日時 | 2022-09-22 01:36:49 |
| 言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
AC
|
| 実行時間 | 852 ms / 2,000 ms |
| コード長 | 11,098 bytes |
| コンパイル時間 | 4,785 ms |
| コンパイル使用メモリ | 275,412 KB |
| 最終ジャッジ日時 | 2025-02-07 13:30:36 |
|
ジャッジサーバーID （参考情報） |
judge4 / judge4 |
（要ログイン）
| ファイルパターン | 結果 |
|---|---|
| sample | AC * 3 |
| other | AC * 8 |
ソースコード
#line 1 "c.cpp"
#include<bits/stdc++.h>
#include<atcoder/all>
#define rep(i,n) for (int i = 0; i < int(n); ++i)
#define repp(i,n,m) for (int i = m; i < int(n); ++i)
#define repb(i,n) for (int i = int(n)-1; i >= 0; --i)
#define all(v) v.begin(),v.end()
using namespace std;
using namespace atcoder;
using ll = long long;
using ld = long double;
using P = pair<int, int>;
using PL = pair<long long, long long>;
using pdd = pair<long double, long double>;
using pil = pair<int,ll>;
using pli = pair<ll,int>;
using ppi = pair<P,int>;
using pip = pair<int,P>;
const int INF = 1001001007;
const long long mod1 = 1000000007LL;
const long long mod2 = 998244353LL;
const ll inf = 2e18;
const ld pi = 3.14159265358979323;
const ld eps = 1e-7;
template<typename T>void o(T a);
template<class T>istream &operator>>(istream &is,vector<T> &v){for(auto &e:v)is>>e;return is;}
template<typename T>bool range(T a,T b,T x){return (a<=x&&x<b);}
template<typename T>bool rrange(T a,T b,T c,T d,T x,T y){return (range(a,c,x)&&range(b,d,y));}
template<typename T>void rev(vector<T> &v){reverse(v.begin(),v.end());}
void revs(string &s) {reverse(s.begin(),s.end());}
template<typename T>void sor(vector<T> &v, int f=0){sort(v.begin(),v.end());if(f!=0) rev(v);}
template<typename T>bool chmin(T &a,const T &b){if(a>b){a=b;return true;}return false;}
template<typename T>bool chmax(T &a,const T &b){if(a<b){a=b;return true;}return false;}
template<typename T>void uniq(vector<T> &v){sor(v);v.erase(unique(v.begin(),v.end()),v.end());}
template<typename T>T cel(T a,T b){return (a+b-1)/b;}
template<typename T1, typename T2>void print(pair<T1,T2> a);
template<typename T>void print(vector<T> v);
template<typename T>void print(vector<vector<T>> v);
void print(){ putchar(' '); }
void print(bool a){ printf("%d", a); }
void print(int a){ printf("%d", a); }
void print(long a){ printf("%ld", a); }
void print(long long a){ printf("%lld", a); }
void print(char a){ printf("%c", a); }
void print(char a[]){ printf("%s", a); }
void print(const char a[]){ printf("%s", a); }
void print(long double a){ printf("%.15Lf", a); }
void print(const string& a){ for(auto&& i : a) print(i); }
void print(unsigned int a){ printf("%u", a); }
template<class T> void print(const T& a){ cout << a; }
int out(){ putchar('\n'); return 0; }
template<class T> int out(const T& t){ print(t); putchar('\n'); return 0; }
template<class Head, class... Tail> int out(const Head& head, const Tail&... tail){ print(head); putchar(' '); out(tail...); return 0; }
void o(){cout<<"!?"<<endl;}
template<typename T>void o(T a){cout<<a<<endl;}
template<typename T1,typename T2>void print(pair<T1,T2> a){print(a.first);print(),print(a.second);}
template<typename T>void print(vector<T> v){for(auto ite=v.begin();ite!=v.end();){print(*ite);if(++ite!=v.end())print();}}
template<typename T>void print(vector<vector<T>> v){for(auto ite=v.begin();ite!=v.end();){print(*ite);if(++ite!=v.end())out();}}
void yes(){out("Yes");}
void no (){out("No");}
void yn (bool t){if(t)yes();else no();}
vector<int> dx = {0,1,0,-1,1,1,-1,-1};
vector<int> dy = {1,0,-1,0,1,-1,-1,1};
const string ALP = "ABCDEFGHIJKLMNOPQRSTUVWXYZ";
const string alp = "abcdefghijklmnopqrstuvwxyz";
const string NUM = "0123456789";
void fast_io(){cin.tie(0); ios::sync_with_stdio(0); cout<<fixed<<setprecision(20);}
using mint = modint998244353;
void out(mint a){out(a.val());}
void out(vector<mint> a){vector<ll> b(a.size()); rep(i,a.size()) b[i] = a[i].val(); out(b);}
void out(vector<vector<mint>> a){for (auto v : a) out(v);}
istream &operator>>(istream &is,vector<mint> &v){for(auto &e:v){ll _x;is>>_x;e=_x;}return is;}
#line 2 "UFtree.hpp"
#line 4 "UFtree.hpp"
namespace noya2 {
struct UFtree{
int n, m;
std::vector<int> rot, par;
UFtree (int _n = 0) : n(_n) {init();}
int parent(int u){
if (rot[u] < 0) return u;
return rot[u] = parent(rot[u]);
}
bool same(int u, int v){
return parent(u) == parent(v);
}
int merge(int u, int v){
if (same(u,v)) return -1;
u = parent(u);
v = parent(v);
rot[u] = n+m;
rot[v] = n+m;
par[u] = n+m;
par[v] = n+m;
return m++;
}
void init(){
rot.resize(n+n-1,-1);
par.resize(n+n-1,-1);
m = 0;
}
};
} // namespace noya2
#line 2 "Tree.hpp"
namespace noya2{
using ll = long long;
using P = pair<int,int>;
struct edge{
int to, idx;
ll cost;
edge (int _to = -1, ll _cost = 1, int _idx = -1) : to(_to), cost(_cost), idx(_idx) {}
};
struct Tree{
Tree (int _n = 0, int _root = 0) : n(_n), root(_root) {
assert(0 <= _root && _root < n);
initialize();
}
int add_edge(int u, int v, ll cost = 1){
int res = edges.size();
vs[u].emplace_back(edge(v,cost,res));
vs[v].emplace_back(edge(u,cost,res));
edges.emplace_back(P(u,v));
return res;
}
void build(){
dfs_init(root);
int t = 0;
dfs_hld(root,t);
}
int lca(int u, int v){
while (nxt[u] != nxt[v]){
if (down[u] < down[v]) swap(u,v);
u = par[nxt[u]];
}
return depth[u] < depth[v] ? u : v;
}
vector<int> point_HLD(){
return hld_order;
}
vector<int> edge_HLD(){
vector<int> res(n,-1);
for (int i = 1; i < n; i++){
res[i] = par_edge_idx[hld_order[i]];
}
return res;
}
P getidx(int v){return P(down[v],up[v]);}
vector<int> child(int v){
vector<int> res;
for (edge x : vs[v]) if (x.to != par[v]) res.emplace_back(x.to);
return res;
}
int parent(int v){return par[v];}
int deepth(int v){return depth[v];}
template<typename F>
void path_query(int u, int v, bool vertex, const F &f){ // f is function takes (left, right) as argument, range = [left,right).
int l = lca(u,v);
for (auto &p : ascend(u,l)){
int s = p.first + 1, t = p.second; // p.first + 1 : depth(p.first) > depth(p.second), so [p.second,p.first] = [p.second,p.first+1)
s > t ? f(t,s) : f(s,t);
}
if (vertex) f(down[l],down[l]+1); // vertex is true : query is for point
for (auto &p : descend(l,v)){
int s = p.first, t = p.second + 1; // p.second +1 : depth(p.first) < depth(p.second), so [p.first,p.second] = [p.first,p.second+1)
s > t ? f(t,s) : f(s,t);
}
}
template<typename F>
void path_noncommutative_query(int u, int v, bool vertex, const F &f){ // op(l,r) != op(r,l), so prod[u->...->v] != prod[v->...->u]
int l = lca(u,v);
for (auto &p : ascend(u,l)){
int s = p.first + 1, t = p.second; // p.first + 1 : depth(p.first) > depth(p.second), so [p.second,p.first] = [p.second,p.first+1)
f(s,t); // le > ri ok
}
if (vertex) f(down[l],down[l]+1); // vertex is true : query is for point
for (auto &p : descend(l,v)){
int s = p.first, t = p.second + 1; // p.second +1 : depth(p.first) < depth(p.second), so [p.first,p.second] = [p.first,p.second+1)
f(s,t); // le > ri ok
}
}
template<typename F>
void subtree_query(int v, bool vertex, const F &f){
f(down[v] + (vertex ? 0 : 1), up[v]);
}
private:
int n;
int root;
vector<P> edges;
vector<vector<edge>> vs;
vector<int> size, par, depth, up, down, nxt, hld_order; // nxt[i] : most shallow vertex in connected component of vertex i
vector<int> par_edge_idx; // index of the edge to par
void initialize(){
vs.resize(n);
size.resize(n,0);
par.resize(n,root);
depth.resize(n,0);
up.resize(n,-1);
down.resize(n,-1);
nxt.resize(n,root);
hld_order.resize(n,-1);
par_edge_idx.resize(n,-1);
}
void dfs_init(int cur){
size[cur] = 1;
for (edge &e : vs[cur]){
if (e.to == par[cur]){
if (vs[cur].size() >= 2 && e.to == vs[cur][0].to){
swap(vs[cur][0],vs[cur][1]); // if cur is not leaf, vs[cur][0] is not cur's parent
}
else continue;
}
par[e.to] = cur;
par_edge_idx[e.to] = e.idx;
depth[e.to] = depth[cur] + 1;
dfs_init(e.to);
size[cur] += size[e.to];
if (size[e.to] > size[vs[cur][0].to]){
swap(e,vs[cur][0]); // to maximize vs[cur][0]'s subtree_size
}
}
}
void dfs_hld(int cur, int &tnow){
down[cur] = tnow++; // down[0,...,n-1] is permutation of 0,...,n-1
hld_order[down[cur]] = cur; // hld_order[i] is ith vertex visited on Euler tour
for (edge e : vs[cur]){
if (e.to == par[cur]) continue;
nxt[e.to] = (e.to == vs[cur][0].to ? nxt[cur] : e.to);
dfs_hld(e.to,tnow);
}
up[cur] = tnow; // up[0,...,n-1] is NOT permutation, up[*] <= n
}
vector<P> ascend(int u, int v) const { // [u,v), depth[u] > depth[v]
vector<P> res;
while (nxt[u] != nxt[v]){
res.emplace_back(P(down[u],down[nxt[u]])); // [s1,t1], [s2,t2], ...
u = par[nxt[u]];
}
if (u != v) res.emplace_back(P(down[u],down[v]+1)); // [s,t). v is not in the range (down[] is ordered opposite direction of depth)
return res;
}
vector<P> descend(int u, int v) const { // (u,v], depth[u] < depth[v]
if (u == v) return {};
if (nxt[u] == nxt[v]){
return {P(down[u]+1,down[v])}; // (s,t]. u is not in the range
}
vector<P> res = descend(u,par[nxt[v]]);
res.emplace_back(P(down[nxt[v]],down[v])); // [s1,t1], [s2,t2], ...
return res;
}
};
} //namespace noya2
#line 77 "c.cpp"
using namespace noya2;
ll op(ll a, ll b){return max(a,b);}
ll e(){return -inf;}
ll mapping(ll f, ll x){return f + x;}
ll composition(ll f, ll g){return f + g;}
ll id(){return 0LL;}
void solve(){
int n, q; cin >> n >> q;
vector<vector<int>> query(q,vector<int>(3)); cin >> query;
UFtree d(n);
rep(i,q){
query[i][1]--;
if (query[i][0] == 3) continue;
if (query[i][0] == 1){
query[i][2]--;
d.merge(query[i][1],query[i][2]);
}
else {
query[i][1] = d.parent(query[i][1]);
}
}
Tree g(n+n,n+n-1);
rep(i,n+n-1){
if (d.par[i] > 0) g.add_edge(i,d.par[i]);
else g.add_edge(i,n+n-1);
}
g.build();
auto v = g.point_HLD();
lazy_segtree<ll,op,e,ll,mapping,composition,id> seg(n+n);
rep(i,n+n) seg.set(i,0);
ll val = 0;
auto f = [&](int l, int r){
seg.apply(l,r,val);
};
rep(i,q){
if (query[i][0] == 1) continue;
if (query[i][0] == 2){
val = query[i][2];
g.subtree_query(query[i][1],true,f);
}
else {
out(seg.get(g.getidx(query[i][1]).first));
}
}
}
int main(){
fast_io();
int t = 1; //cin >> t;
while(t--) solve();
}