結果

問題 No.2294 Union Path Query (Easy)
ユーザー eQe
提出日時 2025-02-27 06:59:52
言語 C++23
(gcc 13.3.0 + boost 1.87.0)
結果
MLE  
実行時間 -
コード長 8,370 bytes
コンパイル時間 7,754 ms
コンパイル使用メモリ 334,836 KB
実行使用メモリ 814,780 KB
最終ジャッジ日時 2025-02-27 07:00:11
合計ジャッジ時間 16,326 ms
ジャッジサーバーID
(参考情報)
judge1 / judge4
このコードへのチャレンジ
(要ログイン)
ファイルパターン 結果
sample AC * 3
other MLE * 1 -- * 45
権限があれば一括ダウンロードができます

ソースコード

diff #
プレゼンテーションモードにする

#include<bits/stdc++.h>
#include<atcoder/all>
using namespace std;
namespace my{
using ml=atcoder::modint998244353;
auto&operator>>(istream&i,ml&x){int t;i>>t;x=t;return i;}
auto&operator<<(ostream&o,const ml&x){return o<<(int)x.val();}
#define eb emplace_back
#define LL(...) ll __VA_ARGS__;lin(__VA_ARGS__)
#define FO(n) for(ll ij=n;ij-->0;)
#define FOR(i,...) for(auto[i,i##stop,i##step]=range(0,__VA_ARGS__);i<i##stop;i+=i##step)
#define fo(i,...) FO##__VA_OPT__(R)(i __VA_OPT__(,__VA_ARGS__))
#define fe(a,i,...) for(auto&&__VA_OPT__([)i __VA_OPT__(,__VA_ARGS__]):a)
#define single_testcase void solve();}int main(){my::io();my::solve();}namespace my{
void io(){cin.tie(nullptr)->sync_with_stdio(0);cout<<fixed<<setprecision(15);}
using ll=long long;
using ull=unsigned long long;
using ulll=__uint128_t;
using lll=__int128_t;
istream&operator>>(istream&i,ulll&x){ull t;i>>t;x=t;return i;}
ostream&operator<<(ostream&o,const ulll&x){return(x<10?o:o<<x/10)<<ll(x%10);}
istream&operator>>(istream&i,lll&x){ll t;i>>t;x=t;return i;}
ostream&operator<<(ostream&o,const lll&x){return o<<(x<0?"-":"")<<ulll(x>0?x:-x);}
constexpr auto range(bool s,auto...a){array<ll,3>r{0,0,1};ll I=0;((r[I++]=a),...);if(!s&&I==1)swap(r[0],r[1]);r[0]-=s;if(s)r[2]*=-1;return r;}
constexpr char newline=10;
constexpr char space=32;
constexpr auto schrodinger(bool p,char c){return string(p,c);}
lll pow(lll x,ll n){assert(n>=0);lll r=1;while(n)n&1?r*=x:r,x*=x,n>>=1;return r;}
constexpr auto at2(auto x,auto i){return x>>i&1;}
auto&rev(auto&a){ranges::reverse(a);return a;}
template<class T>struct queue:std::queue<T>{
queue(const initializer_list<T>&a={}){fe(a,e)this->emplace(e);}
queue(const vector<T>&a){fe(a,e)this->emplace(e);}
ll size()const{return std::queue<T>::size();}
T pop(){T r=this->front();std::queue<T>::pop();return r;}
friend ostream&operator<<(ostream&o,queue q){while(q.size())o<<q.pop()<<schroedinger(q.size()>0,space);return o;}
};
template<class T>struct unordered_set:std::unordered_set<T>{
unordered_set(const initializer_list<T>&a={}){fe(a,e)this->emplace(e);}
unordered_set(const vector<T>&a){fe(a,e)this->emplace(e);}
ll size()const{return std::unordered_set<T>::size();}
};
template<ll k>auto pack_kth(const auto&...a){return get<k>(make_tuple(a...));}
template<class T,ll n>auto pack_slice(const auto&...a){return[&]<size_t...I>(index_sequence<I...>){return array<T,n>{get<I>(forward_as_tuple(a
    ...))...};}(make_index_sequence<n>{});}
template<class V>concept vectorial=is_base_of_v<vector<typename V::value_type>,V>;
template<class V>istream&operator>>(istream&i,vector<V>&v){fe(v,e)i>>e;return i;}
template<class V>ostream&operator<<(ostream&o,const vector<V>&v){fe(v,e)o<<e<<schrodinger(&e!=&v.back(),vectorial<V>?newline:space);return o;}
template<class V>struct vec;
template<int rank,class T>struct tensor_helper{using type=vec<typename tensor_helper<rank-1,T>::type>;};
template<class T>struct tensor_helper<0,T>{using type=T;};
template<int rank,class T>using tensor=typename tensor_helper<rank,T>::type;
template<class V>struct vec:vector<V>{
using vector<V>::vector;
vec(const vector<V>&v){vector<V>::operator=(v);}
template<class...A>requires(sizeof...(A)>=3)vec(A...a){const ll n=sizeof...(a)-1;auto t=pack_slice<ll,n>(a...);ll s[n];fo(i,n)s[i]=t[i];*this
      =make_vec(s,pack_kth<n>(a...));}
template<class T,ll n,ll i=0>static auto make_vec(const ll(&s)[n],T x){if constexpr(i==n-1)return vec<T>(s[i],x);else{auto X=make_vec<T,n,i+1>(s,x
      );return vec<decltype(X)>(s[i],X);}}
vec&operator^=(const vec&u){this->insert(this->end(),u.begin(),u.end());return*this;}
vec operator^(const vec&u)const{return vec{*this}^=u;}
vec&operator+=(const vec&u){vec&v=*this;assert(v.size()==u.size());fo(i,v.size())v[i]+=u[i];return v;}
vec&operator-=(const vec&u){vec&v=*this;assert(v.size()==u.size());fo(i,v.size())v[i]-=u[i];return v;}
vec operator+(const vec&u)const{return vec{*this}+=u;}
vec operator-(const vec&u)const{return vec{*this}-=u;}
vec&operator++(){fe(*this,e)++e;return*this;}
vec&operator--(){fe(*this,e)--e;return*this;}
vec operator-()const{vec v=*this;fe(v,e)e=-e;return v;}
vec&operator%=(auto M){vec&v=*this;fe(v,e)e%=M;return v;}
vec operator%(auto M)const{return vec{*this}%=M;}
ll size()const{return vector<V>::size();}
template<class T=ll>auto iota()const{vec<T>r(size());fo(i,size())r[i]=i;return r;}
auto rev()const{vec v=*this;ranges::reverse(v);return v;}
};
template<class...A>requires(sizeof...(A)>=2)vec(A...a)->vec<tensor<sizeof...(a)-2,remove_reference_t<decltype(get<sizeof...(a)-1>(declval<tuple<A
    ...>>()))>>>;
vec(ll)->vec<ll>;
void lin(auto&...a){(cin>>...>>a);}
template<class T=ll>auto iota(auto...a){array<ll,2>v{};ll I=0;((v[I++]=a),...);if(I==1)swap(v[0],v[1]);vec<T>r(v[1]-v[0]);std::iota(r.begin(),r.end
    (),v[0]);return r;}
struct dsu{
ll n;
vec<ll>par_or_size;
dsu(ll n):n(n),par_or_size(n,-1){}
auto merge(ll a,ll b){
ll x=leader(a),y=leader(b);
if(x==y)return tuple{x,a,y,b};
if(-par_or_size[x]<-par_or_size[y])swap(x,y),swap(a,b);
par_or_size[x]+=par_or_size[y];
par_or_size[y]=x;
return tuple{x,a,y,b};
}
bool same(ll a,ll b){return leader(a)==leader(b);}
ll leader(ll a){
assert(0<=a&&a<n);
if(par_or_size[a]<0)return a;
return par_or_size[a]=leader(par_or_size[a]);
}
ll size(ll a){return-par_or_size[leader(a)];}
};
template<class WT>struct edge{
ll from,to;
WT wt;
ll id;
edge()=default;
edge(ll from,ll to,WT wt=1,ll id=-1):from(from),to(to),wt(wt),id(id){}
auto rev()const{auto e=*this;swap(e.from,e.to);return e;}
auto operator<=>(const edge&e)const{return wt<=>e.wt;}
friend ostream&operator<<(ostream&o,const edge&e){return o<<"(to "<<e.to<<", wt "<<e.wt<<",id "<<e.id<<")";}
};
template<class WT>struct rooted_tree{
vec<vec<edge<WT>>>edges;
vec<edge<WT>>rev_edge;
ll r;
rooted_tree(ll n,ll r):edges(n),rev_edge(n,{-1,-1,WT{},-1}),r(r){}
friend ostream&operator<<(ostream&o,const rooted_tree&g){
fo(u,g.size()){
o<<"from "<<u<<": ";
fo(j,g[u].size())o<<g[u][j]<<schrodinger(j!=g[u].size()-1,space);
o<<newline;
}
return o;
}
decltype(auto)operator[](ll i){return edges[i];}
decltype(auto)operator[](ll i)const{return edges[i];}
ll size()const{return edges.size();}
ll par(ll u)const{return u==r?-1:rev_edge[u].from;}
void add_edge_and_set_rev_edge(const edge<WT>&e){
edges[e.from].eb(e);
rev_edge[e.to]=e;
}
auto bfs_order(ll start)const{
vec<ll>ord;
queue<ll>q{start};
while(q.size()){
ll u=q.pop();
ord.eb(u);
fe(edges[u],e)q.emplace(e.to);
}
return ord;
}
auto&set_root(ll U){
if(par(U)==-1)return*this;
ll pre=-1,cu=U;
while(cu!=-1){
ll nx=par(cu);
vec<edge<WT>>new_edges;
new_edges.reserve(edges[cu].size());
if(nx!=-1){
new_edges.eb(rev_edge[cu].rev());
if(cu==U)rev_edge[cu]={-1,-1,WT{},-1};
}
fe(edges[cu],e){
if(e.to==pre)rev_edge[cu]=e.rev();
else new_edges.eb(e);
}
swap(new_edges,edges[cu]);
pre=cu;
cu=nx;
}
r=U;
return*this;
}
};
template<class WT>struct rooted_forest:rooted_tree<WT>{
unordered_set<ll>roots;
rooted_forest(ll n):rooted_tree<WT>(n,-1),roots(iota(n)){}
auto&merge(const edge<WT>&e){
this->set_root(e.to);
this->add_edge_and_set_rev_edge(e);
roots.erase(e.to);
return*this;
}
};
void pp(auto&&...a){ll n=sizeof...(a);((cout<<a<<schrodinger(--n>0,space)),...);cout<<newline;}
single_testcase
void solve(){
LL(N,X,Q);
rooted_forest<ll>g(N);
dsu uf(N);
vec xor_dist(N);
ll B=30;
vec cnt(N,B,0LL);
fo(Q){
LL(f);--f;
if(f==0){
LL(u,w);
auto[nl,from,ol,to]=uf.merge(u,X);
g.merge(edge<ll>{from,to,w});
fe(g.bfs_order(to),v){
xor_dist[v]^=w^xor_dist[from];
fo(b,B)cnt[nl][b]+=at2(xor_dist[v],b);
}
}else if(f==1){
LL(u,v);
if(!uf.same(u,v)){
pp(-1);
continue;
}
ll res=xor_dist[u]^xor_dist[v];
(X+=res)%=N;
pp(res);
}else if(f==2){
LL(u);
ll l=uf.leader(u);
ll sz=uf.size(l);
ml res=0;
fo(b,B)res+=ml{2}.pow(b)*cnt[l][b]*(sz-cnt[l][b]);
pp(res);
}else if(f==3){
LL(x);
(X+=x)%=N;
}
}
}}
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