#904233 (C++23) No.2377 SUM AND XOR on Tree

• 問題: No.2377 SUM AND XOR on Tree
• ユーザー: eQe
• 提出日時: 2023-08-16 00:13:19
• 言語: C++23 (gcc 12.3.0 + boost 1.83.0)
• 結果: AC
• 実行時間: 795 ms / 4,000 ms
• コード長: 7,208 bytes
• コンパイル時間: 5,487 ms
• コンパイル使用メモリ: 336,836 KB
• 実行使用メモリ: 17,984 KB
• 最終ジャッジ日時: 2024-11-24 09:36:40
• 合計ジャッジ時間: 20,404 ms
• ジャッジサーバーID （参考情報）: judge5 / judge2

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	2 ms; 6,820 KB
testcase_01	AC	2 ms; 6,816 KB
testcase_02	AC	2 ms; 6,816 KB
testcase_03	AC	2 ms; 6,816 KB
testcase_04	AC	2 ms; 6,820 KB
testcase_05	AC	2 ms; 6,820 KB
testcase_06	AC	1 ms; 6,820 KB
testcase_07	AC	2 ms; 6,820 KB
testcase_08	AC	689 ms; 17,444 KB
testcase_09	AC	767 ms; 17,980 KB
testcase_10	AC	701 ms; 17,984 KB
testcase_11	AC	698 ms; 17,672 KB
testcase_12	AC	758 ms; 17,668 KB
testcase_13	AC	697 ms; 17,432 KB
testcase_14	AC	726 ms; 16,916 KB
testcase_15	AC	747 ms; 17,712 KB
testcase_16	AC	757 ms; 17,400 KB
testcase_17	AC	754 ms; 17,968 KB
testcase_18	AC	2 ms; 6,820 KB
testcase_19	AC	2 ms; 6,820 KB
testcase_20	AC	2 ms; 6,816 KB
testcase_21	AC	2 ms; 6,820 KB
testcase_22	AC	2 ms; 6,816 KB
testcase_23	AC	756 ms; 17,672 KB
testcase_24	AC	747 ms; 17,724 KB
testcase_25	AC	795 ms; 17,488 KB
testcase_26	AC	355 ms; 17,560 KB
testcase_27	AC	358 ms; 17,552 KB
testcase_28	AC	367 ms; 17,556 KB
testcase_29	AC	315 ms; 16,548 KB
testcase_30	AC	332 ms; 16,544 KB
testcase_31	AC	319 ms; 16,676 KB
testcase_32	AC	343 ms; 16,968 KB
testcase_33	AC	345 ms; 17,096 KB
testcase_34	AC	346 ms; 16,972 KB

ソースコード

#include<bits/stdc++.h>
#include<atcoder/all>
#define eb emplace_back
#define all(a) (a).begin(),(a).end()
#define RD(T,...) T __VA_ARGS__;li(__VA_ARGS__)
#define LL(...) RD(ll,__VA_ARGS__)
#define VL(n,...) vl __VA_ARGS__;setsize({n},__VA_ARGS__);li(__VA_ARGS__)
#define VE(a,...) au a=vec(__VA_ARGS__)
#define JO(a,b) a##b
#define jo(a,b) JO(a,b)
#define usymbol(a) jo(a,__LINE__)
#define FE(v,e,...) for(au&&__VA_OPT__([)e __VA_OPT__(,__VA_ARGS__]):v)
#define FO(n) for(ll usymbol(i)=n;usymbol(i)-->0;)
#define FOR(i,...) for(au[i,i##O,i##E]=rng(0,__VA_ARGS__);i<i##O;i+=i##E)
#define fe(v,...) FE(v,__VA_ARGS__)
#define fo(i,...) FO##__VA_OPT__(R)(i __VA_OPT__(,__VA_ARGS__))
#define of(i,...) for(au[i,i##O,i##E]=rng(1,__VA_ARGS__);i>=i##O;i-=i##E)
#define I template
#define J class
#define au auto
#define rr return
using std::cin,std::cout,std::begin,std::end,std::rbegin;
using std::swap,std::move,std::abs,std::prev,std::next;
using std::tuple,std::minmax,std::get;
using vo=void;using bo=bool;
vo solve();
I<J A,J B>constexpr bo same=std::is_same_v<A,B>;
using is=std::istream;using os=std::ostream;
using dd=long double;using ll=long long;using ull=unsigned long long;
using lll=__int128_t;using ulll=__uint128_t;using str=std::string;
os&operator<<(os&o,const ulll&x){rr(x<10?o:o<<x/10)<<ll(x%10);}
os&operator<<(os&o,const lll&x){rr o<<str(x<0,'-')<<ulll(x>0?x:-x);}

using namespace atcoder;using ml=modint;
au&operator<<(os&o,const modint&x){rr o<<x.val();}
au&operator<<(os&o,const modint998244353&x){rr o<<x.val();}
au&operator<<(os&o,const modint1000000007&x){rr o<<x.val();}

constexpr ll oo=3e18;
constexpr ll dx[]{-1,0,1,0,-1,1,1,-1},dy[]{0,-1,0,1,-1,-1,1,1};
constexpr char sp=32;
constexpr char nl=10;
au rng(bo s,ll a,ll b=oo,ll c=1){if(b==oo)b=a,(s?b:a)=0;rr tuple{a-s,b,c};}
I<J T>bo at2(T x,ll i){rr x>>i&1;}
I<J T>ll len(const T&a){rr a.size();}

struct edg{
  ll t,w;
  edg(){}
  edg(ll t,ll w=1):t(t),w(w){}
  friend os&operator<<(os&o,const edg&e){rr o<<e.t<<sp<<e.w;}
};

I<J A,J B=A>struct cp{
  A a={};B b={};
  cp(){}
  cp(A a,B b):a(a),b(b){}
  cp(std::pair<A,B>p):a(p.first),b(p.second){}
  bo operator==(const cp&c)const{rr a==c.a&&b==c.b;}
  bo operator<(const cp&c)const{rr a!=c.a?a<c.a:b<c.b;}
  bo operator>(const cp&c)const{rr a!=c.a?a>c.a:b>c.b;}

  friend is&operator>>(is&i,cp&c){rr i>>c.a>>c.b;}
  friend os&operator<<(os&o,const cp&c){rr o<<c.a<<sp<<c.b;}
};using cl=cp<ll>;
I<J A,J B=A,J C=A>struct tr{
  A a={};B b={};C c={};
  tr(){}
  tr(A a,B b,C c):a(a),b(b),c(c){}
  bo operator==(const tr&t)const{rr a==t.a&&b==t.b&&c==t.c;}

  au operator<(const tr&t)const{rr a!=t.a?a<t.a:b!=t.b?b<t.b:c<t.c;}
  friend is&operator>>(is&i,tr&t){rr i>>t.a>>t.b>>t.c;}
  friend os&operator<<(os&o,const tr&t){rr o<<t.a<<sp<<t.b<<sp<<t.c;}
};using tl=tr<ll>;

I<J T>T&rv(T&a){reverse(all(a));rr a;}
I<J T>au pot(T&a){au r=a.top();a.pop();rr r;}

I<J T,size_t n>using ar=std::array<T,n>;
I<J T,size_t n>os&operator<<(os&o,const ar<T,n>&a){fo(i,n)o<<a[i]<<str(i!=n-1,sp);rr o;}
I<J T,J U=T>using map=std::map<T,U>;
I<J T,J U>os&operator<<(os&o,const map<T,U>&m){fe(m,e)o<<e.first<<sp<<e.second<<nl;rr o;}
I<J T,J U=T>using umap=std::unordered_map<T,U>;
I<J T,J U>os&operator<<(os&o,const umap<T,U>&m){fe(m,e)o<<e.first<<sp<<e.second<<nl;rr o;}
I<size_t n>using bset=std::bitset<n>;
I<size_t n>os&operator<<(os&o,const bset<n>&b){fo(i,n)o<<b[i];rr o;}

I<J V>struct ve;
I<J V>constexpr bo isv=0;
I<J V>constexpr bo isv<ve<V>> =1;
I<J V>constexpr bo isv<std::vector<V>> =1;
I<J V>au rawv(V){if constexpr(isv<V>)rr rawv(V(1)[0]);else rr V();}

I<J V>struct ve:std::vector<V>{
  using std::vector<V>::vector;
  using T=decltype(rawv(V()));
  I<J U>ve(const std::vector<U>&v={}){static_assert(isv<V> ==isv<U>);fe(v,e)this->eb(e);}

  ve&operator+=(const ve&u){au&v=*this;fo(i,len(v))v[i]+=u[i];rr v;}ve operator+(const ve&u)const{rr ve(*this)+=u;}
  ve&operator-=(const ve&u){au&v=*this;fo(i,len(v))v[i]-=u[i];rr v;}ve operator-(const ve&u)const{rr ve(*this)-=u;}
  ve&operator^=(const ve&u){fe(u,e)this->eb(e);rr*this;}ve operator^(const ve&u)const{rr ve(*this)^=u;}
  ve&operator+=(const T&x){au&v=*this;fe(v,e)e+=x;rr v;}ve operator+(const T&x)const{rr ve(*this)+=x;}
  ve&operator-=(const T&x){au&v=*this;fe(v,e)e-=x;rr v;}ve operator-(const T&x)const{rr ve(*this)-=x;}
  ve&operator*=(const T&x){au&v=*this;fe(v,e)e*=x;rr v;}ve operator*(const T&x)const{rr ve(*this)*=x;}
  ve&operator++(){rr*this+=1;}
  ve&operator--(){rr*this-=1;}
  ve operator-()const{rr ve(*this)*=-1;}
  I<size_t n>au&operator+=(const bset<n>&a){fo(i,n)(*this)[i]+=a[i];rr*this;}
  I<size_t n>au&operator-=(const bset<n>&a){fo(i,n)(*this)[i]-=a[i];rr*this;}

  au lower_bound(const V&x)const{rr std::lower_bound(all(*this),x);}
  au upper_bound(const V&x)const{rr std::upper_bound(all(*this),x);}

  friend is&operator>>(is&i,ve&v){fe(v,e)i>>e;rr i;}
  friend os&operator<<(os&o,const ve&v){fe(v,e)o<<e<<str(&e!=&v.back(),isv<V>?nl:sp);rr o;}
};
I<J T=ll,size_t n,size_t i=0>au vec(const ll(&s)[n],T x={}){if constexpr(n==i+1)rr ve<T>(s[i],x);else{au X=vec<T,n,i+1>(s,x);rr ve<decltype(X)>(s[i],X);}}
I<ll n,J...A>vo setsize(const ll(&l)[n],A&...a){((a=vec(l,rawv(a))),...);}
I<J T>using vve=ve<ve<T>>;using vl=ve<ll>;using vvl=vve<ll>;
using gl=ve<ve<ll>>;using ge=ve<ve<edg>>;

struct io{io(){cin.tie(0)->sync_with_stdio(0);
  cout<<std::fixed<<std::setprecision(15);std::cerr<<nl;}}io;
I<J...A>os&operator<<(os&o,const tuple<A...>&t){apply([&](const au&...a){ll i=0;(((o<<a<<str(++i!=sizeof...(a),sp))),...);},t);rr o;}
I<char c=sp,J...A>vo pp(const A&...a){ll i=0;((cout<<a<<str(++i!=sizeof...(a),c)),...);cout<<nl;}
I<J...A>vo li(A&...a){(cin>>...>>a);}
I<J G>au ygi(G&g,ll m=-1,bo f=1){if(m==-1)m=len(g)-1;std::conditional_t<same<G,gl>,ve<cl>,ve<tl>>r(m);li(r);
  fe(r,e)if constexpr(same<G,gl>)g[e.a-=f].eb(e.b-=f);else g[e.a-=f].eb(e.b-=f,e.c);rr r;}
I<J G>au mgi(G&g,ll m=-1,bo f=1){if(m==-1)m=len(g)-1;au r=ygi(g,m,f);
  fe(r,e)if constexpr(same<G,gl>)g[e.b].eb(e.a);else g[e.b].eb(e.a,e.c);rr r;}

I<J F>struct rec:F{rec(F&&f):F(std::forward<F>(f)){}I<J...A>decltype(au)operator()(A&&...a)const{rr F::operator()(*this,std::forward<A>(a)...);}};

std::array<ve<ll>,3>bfs_order(const vve<ll>&tr,ll s){
  ll n=len(tr);
  ve<ll>ord,par(n),dep(n);
  std::deque<tuple<ll,ll,ll>>q{{s,-1,0}};
  while(len(q)){
    auto[u,p,d]=q.front();q.pop_front();
    ord.eb(u),par[u]=p,dep[u]=d;
    fe(tr[u],v)if(v!=p)q.eb(v,u,d+1);
  }
  return{ord,par,dep};
}

vve<ll>rooted_tree(const vve<ll>&tr,ll s){
  ll n=len(tr);
  ve<ll>par=get<1>(bfs_order(tr,s));

  vve<ll>rooted_tr(n);
  fo(i,n)if(par[i]!=-1)rooted_tr[par[i]].eb(i);
  return rooted_tr;
}

int main(){ll T=1;fo(T)solve();}
vo solve(){
  LL(N);
  gl tr(N);mgi(tr);
  VL(N,a);

  tr=rooted_tree(tr,0);
  au[o,p,d]=bfs_order(tr,0);
  rv(o);

  ml ans=0;
  fo(k,30){
    VE(dp,{N,2},ml());
    fe(o,u){
      dp[u][at2(a[u],k)]=1;
      fe(tr[u],v){
        ve<ml>nx(2);
        //削除する
        fo(j,2)nx[j]+=dp[u][j]*dp[v][1];

        //削除しない
        fo(j,2){
          fo(p,2){
            nx[j^p]+=dp[u][j]*dp[v][p];
          }
        }
        swap(dp[u],nx);
      }
    }
    ans+=ml(2).pow(k)*dp[0][1];
  }
  pp(ans);
}