結果

問題 No.1641 Tree Xor Query
ユーザー kiyoshi0205kiyoshi0205
提出日時 2021-08-06 21:52:23
言語 C++14
(gcc 13.2.0 + boost 1.83.0)
結果
AC  
実行時間 90 ms / 5,000 ms
コード長 8,054 bytes
コンパイル時間 3,033 ms
コンパイル使用メモリ 202,376 KB
実行使用メモリ 17,076 KB
最終ジャッジ日時 2023-10-17 03:12:42
合計ジャッジ時間 4,348 ms
ジャッジサーバーID
（参考情報） 		judge14 / judge15
このコードへのチャレンジ
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 2 ms
4,348 KB
testcase_01 AC 2 ms
4,348 KB
testcase_02 AC 2 ms
4,348 KB
testcase_03 AC 1 ms
4,348 KB
testcase_04 AC 2 ms
4,348 KB
testcase_05 AC 2 ms
4,348 KB
testcase_06 AC 2 ms
4,348 KB
testcase_07 AC 2 ms
4,348 KB
testcase_08 AC 2 ms
4,348 KB
testcase_09 AC 2 ms
4,348 KB
testcase_10 AC 2 ms
4,348 KB
testcase_11 AC 2 ms
4,348 KB
testcase_12 AC 2 ms
4,348 KB
testcase_13 AC 88 ms
17,076 KB
testcase_14 AC 90 ms
17,076 KB
testcase_15 AC 4 ms
4,348 KB
testcase_16 AC 7 ms
4,348 KB
testcase_17 AC 6 ms
4,348 KB
testcase_18 AC 6 ms
4,348 KB
testcase_19 AC 4 ms
4,348 KB
testcase_20 AC 69 ms
13,828 KB
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 # 

#pragma GCC target("avx")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#include<bits/stdc++.h>
// #include<ext/pb_ds/assoc_container.hpp>
// #include<ext/pb_ds/tree_policy.hpp>
// #include<ext/pb_ds/tag_and_trait.hpp>
// using namespace __gnu_pbds;
// #include<boost/multiprecision/cpp_int.hpp>
// namespace multiprecisioninteger = boost::multiprecision;
// using cint=multiprecisioninteger::cpp_int;
using namespace std;
using ll=long long;
using datas=pair<ll,ll>;
using ddatas=pair<long double,long double>;
using tdata=pair<ll,datas>;
using vec=vector<ll>;
using mat=vector<vec>;
using pvec=vector<datas>;
using pmat=vector<pvec>;
// using llset=tree<ll,null_type,less<ll>,rb_tree_tag,tree_order_statistics_node_update>;
#define For(i,a,b) for(i=a;i<(ll)b;++i)
#define bFor(i,b,a) for(i=b,--i;i>=(ll)a;--i)
#define rep(i,N) For(i,0,N)
#define rep1(i,N) For(i,1,N)
#define brep(i,N) bFor(i,N,0)
#define brep1(i,N) bFor(i,N,1)
#define all(v) (v).begin(),(v).end()
#define allr(v) (v).rbegin(),(v).rend()
#define vsort(v) sort(all(v))
#define vrsort(v) sort(allr(v))
#define uniq(v) vsort(v);(v).erase(unique(all(v)),(v).end())
#define endl "\n"
#define popcount __builtin_popcountll
#define eb emplace_back
#define print(x) cout<<x<<endl
#define printyes print("Yes")
#define printno print("No")
#define printYES print("YES")
#define printNO print("NO")
#define output(v) do{bool f=0;for(auto outi:v){cout<<(f?" ":"")<<outi;f=1;}cout<<endl;}while(0)
#define matoutput(v) do{for(auto outimat:v)output(outimat);}while(0)
constexpr ll mod=1000000007;
// constexpr ll mod=998244353;
constexpr ll inf=1LL<<60;
constexpr long double eps=1e-9;
const long double PI=acosl(-1);
template<class T,class E> ostream& operator<<(ostream& os,const pair<T,E>& p){return os<<"("<<p.first<<","<<p.second<<")";}
template<class T> ostream& operator<<(ostream& os,const vector<T>& v){
  os<<"{";bool f=false;
  for(auto& x:v){if(f)os<<",";os<<x;f=true;}
  os<<"}";
  return os;
}
template<class T> ostream& operator<<(ostream& os,const set<T>& v){
  os<<"{";bool f=false;
  for(auto& x:v){if(f)os<<",";os<<x;f=true;}
  os<<"}";
  return os;
}
template<class T> ostream& operator<<(ostream& os,const multiset<T>& v){
  os<<"{";bool f=false;
  for(auto& x:v){if(f)os<<",";os<<x;f=true;}
  os<<"}";
  return os;
}
template<class T,class E> ostream& operator<<(ostream& os,const map<T,E>& v){
  os<<"{";bool f=false;
  for(auto& x:v){if(f)os<<",";os<<x;f=true;}
  os<<"}";
  return os;
}
template<class T> inline bool chmax(T& a,const T b){bool x=a<b;if(x)a=b;return x;}
template<class T> inline bool chmin(T& a,const T b){bool x=a>b;if(x)a=b;return x;}
#ifdef DEBUG
void debugg(){cout<<endl;}
template<class T,class... Args>void debugg(const T& x,const Args&... args){cout<<" "<<x;debugg(args...);}
#define debug(...) cout<<__LINE__<<" ["<<#__VA_ARGS__<<"]:",debugg(__VA_ARGS__)
#else
#define debug(...) (void(0))
#endif

inline void startupcpp(void) noexcept{
  cin.tie(0);
  ios::sync_with_stdio(false);
  cout<<fixed<<setprecision(15);
}

ll modinv(ll a,const ll m=mod) noexcept{
  ll b=m,u=1,v=0,t;
  while(b){
    t=a/b;
    a-=t*b; swap(a,b);
    u-=t*v; swap(u,v);
  }
  return (u+m)%m;
}

ll moddevide(const ll a,const ll b) noexcept{return (a*modinv(b))%mod;}

vec modncrlistp,modncrlistm;

ll modncr(const ll n,const ll r) noexcept{
  if(n<r)return 0;
  ll i,size=modncrlistp.size();
  if(size<=n){
    modncrlistp.resize(n+1);
    modncrlistm.resize(n+1);
    if(!size){
      modncrlistp[0]=modncrlistm[0]=1;
      size++;
    }
    For(i,size,n+1)modncrlistp[i]=modncrlistp[i-1]*i%mod;
    modncrlistm[n]=modinv(modncrlistp[n]);
    for(i=n;i>size;--i)modncrlistm[i-1]=modncrlistm[i]*i%mod;
  }
  return modncrlistp[n]*modncrlistm[r]%mod*modncrlistm[n-r]%mod;
}

ll modpow(ll a,ll n,const ll m=mod){
  if(n<0)return 0;
  ll res=1;
  while(n>0){
    if(n&1)res=res*a%m;
    a=a*a%m;
    n>>=1;
  }
  return res;
}

constexpr ll gcd(const ll a,const ll b) noexcept{return (!b)?abs(a):(a%b==0)?abs(b):gcd(b,a%b);}
constexpr ll lcm(const ll a,const ll b) noexcept{return a/gcd(a,b)*b;}
struct unionfind{
  private:
  int maxN;
  vector<int> par,treesize;
  public:unionfind(int N) :maxN(N),par(N),treesize(N,1){
    for(int i=0;i<maxN;++i)par[i]=i;
  }
  int root(int x){
    while(par[x]!=x){
      x=par[x]=par[par[x]];
    }
    return x;
  }
  bool unite(int x,int y){
    x=root(x);
    y=root(y);
    if(x==y)return false;
    if(treesize[x]>treesize[y])swap(x,y);
    par[x]=y;
    treesize[y]+=treesize[x];
    return true;
  }
  bool unite(pair<int,int> v){
    return unite(v.first,v.second);
  }
  bool parcheck(int x,int y){
    return root(x)==root(y);
  }
  bool parcheck(pair<int,int> v){
    return parcheck(v.first,v.second);
  }
  int size(int x){
    return treesize[root(x)];
  }
  void clear(){
    treesize.assign(maxN,1);
    for(int i=0;i<maxN;++i)par[i]=i;
  }
  vector<vector<int>> groups(){
    vector<vector<int>> res(maxN);
    for(int i=0;i<maxN;++i)res[root(i)].eb(i);
    // return res;
    vector<vector<int>> res2;
    for(vector<int> x:res){
      if(x.size())res2.eb(x);
    }
    return res2;
  }
};

template<typename T> struct segtree{
private:
  int N=1;
  T E;
  using func=function<T(T,T)>;
  func f,g;
  vector<T> tree;
public:
  segtree(){}
  segtree(vector<T>& v,T e,func Merge,func Act):E(e),f(Merge),g(Act){
    int i,K=v.size();
    while(N<K)N<<=1;
    tree.resize(N<<1);
    For(i,N,N+K)tree[i]=v[i-N];
    For(i,N+K,N<<1)tree[i]=E;
    brep1(i,N)tree[i]=f(tree[i<<1],tree[(i<<1)|1]);
  }
  segtree(vector<T>& v,T e,func Merge){*this=segtree(v,e,Merge,Merge);};
  segtree(int N,T e,func F){
    vector<T> res(N,e);
    *this=segtree(res,e,F);
  }
  void action(int i,T a){
    if((i<0)|(i>=N))return;
    i|=N;
    tree[i]=g(tree[i],a);
    while(i>1){
      i>>=1;
      tree[i]=f(tree[i<<1],tree[(i<<1)|1]);
    }
  }
  void input(int i,T a){
    if((i<0)|(i>=N))return;
    tree[i|=N]=a;
    while(i>1){
      i>>=1;
      tree[i]=f(tree[i<<1],tree[(i<<1)|1]);
    }
  }
  T prod(int a,int b){
    if((a>=b)|(a<0)|(b<=0)|(a>=N)|(b>N))return E;
    T l(E),r(E);
    for(a|=N,b+=N;a<b;a>>=1,b>>=1){
      if(a&1)l=f(l,tree[a++]);
      if(b&1)r=f(tree[--b],r);
    }
    return f(l,r);
  }
};


struct HLD{
private:
  //無向木であること!
  vector<vector<int>> g;
  int fdfs(int now,int p){
    int d=0;
    par[now]=p;
    for(size_t i=0;i+1<g[now].size();++i){
      if(g[now][i]==p)swap(g[now][i],g[now].back());
      if(chmax(d,fdfs(g[now][i],now)))swap(g[now][0],g[now][i]);
    }
    g[now].pop_back();
    return d+1;
  }
  void sdfs(int now){
    in[now]=ETlist.size();
    ETlist.emplace_back(now);
    for(size_t i=0;i<g[now].size();++i){
      nxt[g[now][i]]=i?g[now][i]:nxt[now];
      sdfs(g[now][i]);
    }
    out[now]=ETlist.size();
  }
public:
  // nxt[i]:iのheavy root
  // Heavy edge i = [in[nxt[i]],in[i]]
  // sub tree i = [in[i],out[i])
  vector<int> par,nxt,in,out,ETlist;
  HLD(vector<vector<int>> G,int first=0):g(G),par(G.size()),nxt(G.size()),in(G.size()),out(G.size()){
    ETlist.reserve(G.size());
    init(first);
  };
  HLD(int N):g(N),par(N),nxt(N),in(N),out(N){ETlist.reserve(N);};
  void add_edge(int a,int b){
    g[a].emplace_back(b);
    g[b].emplace_back(a);
  }
  void init(int first=0){
    {
      int d=0;par[first]=-1;
      for(auto& x:g[first])if(chmax(d,fdfs(x,first)))swap(x,g[first][0]);
    }
    nxt[first]=first;
    sdfs(first);
  }
  int lca(int a,int b){
    if(in[a]>in[b])swap(a,b);
    if(nxt[a]==nxt[b])return a;
    return lca(a,par[nxt[b]]);
  }
};



int main(){
  startupcpp();
  ll i,a,b,N,Q;
  cin>>N>>Q;
  vec c(N);
  rep(i,N)cin>>c[i];
  HLD tree(N);
  rep1(i,N){
    cin>>a>>b;
    tree.add_edge(--a,--b);
  }
  tree.init();
  {
    auto& ch=tree.ETlist;
    debug(ch);
    vec sc(N);
    rep(i,N)sc[i]=c[ch[i]];
    swap(c,sc);
  }
  segtree<ll> seg(c,0LL,[](ll a,ll b){return a^b;});
  while(Q--){
    cin>>i>>a>>b;
    --a;
    if(i==1)seg.action(tree.in[a],b);
    else print(seg.prod(tree.in[a],tree.out[a]));
  }
}
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