#682792 (C++17) No.1625 三角形の質問

• 問題: No.1625 三角形の質問
• ユーザー: tute7627
• 提出日時: 2021-07-23 22:33:18
• 言語: C++17 (gcc 13.3.0 + boost 1.87.0)
• 結果: AC
• 実行時間: 2,512 ms / 6,000 ms
• コード長: 13,942 bytes
• コンパイル時間: 3,340 ms
• コンパイル使用メモリ: 231,616 KB
• 最終ジャッジ日時: 2025-01-23 08:18:43
• ジャッジサーバーID （参考情報）: judge4 / judge3

ファイルパターン	結果
sample	AC * 1
other	AC * 19

ソースコード

//#define _GLIBCXX_DEBUG

#include<bits/stdc++.h>
using namespace std;

#define endl '\n'
#define lfs cout<<fixed<<setprecision(10)
#define ALL(a)  (a).begin(),(a).end()
#define ALLR(a)  (a).rbegin(),(a).rend()
#define spa << " " <<
#define fi first
#define se second
#define MP make_pair
#define MT make_tuple
#define PB push_back
#define EB emplace_back
#define rep(i,n,m) for(ll i = (n); i < (ll)(m); i++)
#define rrep(i,n,m) for(ll i = (ll)(m) - 1; i >= (ll)(n); i--)
using ll = long long;
using ld = long double;
const ll MOD1 = 1e9+7;
const ll MOD9 = 998244353;
const ll INF = 1e18;
using P = pair<ll, ll>;
template<typename T> using PQ = priority_queue<T>;
template<typename T> using QP = priority_queue<T,vector<T>,greater<T>>;
template<typename T1, typename T2>bool chmin(T1 &a,T2 b){if(a>b){a=b;return true;}else return false;}
template<typename T1, typename T2>bool chmax(T1 &a,T2 b){if(a<b){a=b;return true;}else return false;}
ll median(ll a,ll b, ll c){return a+b+c-max({a,b,c})-min({a,b,c});}
void ans1(bool x){if(x) cout<<"Yes"<<endl;else cout<<"No"<<endl;}
void ans2(bool x){if(x) cout<<"YES"<<endl;else cout<<"NO"<<endl;}
void ans3(bool x){if(x) cout<<"Yay!"<<endl;else cout<<":("<<endl;}
template<typename T1,typename T2>void ans(bool x,T1 y,T2 z){if(x)cout<<y<<endl;else cout<<z<<endl;}  
template<typename T1,typename T2,typename T3>void anss(T1 x,T2 y,T3 z){ans(x!=y,x,z);};  
template<typename T>void debug(const T &v,ll h,ll w,string sv=" "){for(ll i=0;i<h;i++){cout<<v[i][0];for(ll j=1;j<w;j++)cout<<sv<<v[i][j];cout<<endl;}};
template<typename T>void debug(const T &v,ll n,string sv=" "){if(n!=0)cout<<v[0];for(ll i=1;i<n;i++)cout<<sv<<v[i];cout<<endl;};
template<typename T>void debug(const vector<T>&v){debug(v,v.size());}
template<typename T>void debug(const vector<vector<T>>&v){for(auto &vv:v)debug(vv,vv.size());}
template<typename T>void debug(stack<T> st){while(!st.empty()){cout<<st.top()<<" ";st.pop();}cout<<endl;}
template<typename T>void debug(queue<T> st){while(!st.empty()){cout<<st.front()<<" ";st.pop();}cout<<endl;}
template<typename T>void debug(deque<T> st){while(!st.empty()){cout<<st.front()<<" ";st.pop_front();}cout<<endl;}
template<typename T>void debug(PQ<T> st){while(!st.empty()){cout<<st.top()<<" ";st.pop();}cout<<endl;}
template<typename T>void debug(QP<T> st){while(!st.empty()){cout<<st.top()<<" ";st.pop();}cout<<endl;}
template<typename T>void debug(const set<T>&v){for(auto z:v)cout<<z<<" ";cout<<endl;}
template<typename T>void debug(const multiset<T>&v){for(auto z:v)cout<<z<<" ";cout<<endl;}
template<typename T,size_t size>void debug(const array<T, size> &a){for(auto z:a)cout<<z<<" ";cout<<endl;}
template<typename T,typename V>void debug(const map<T,V>&v){for(auto z:v)cout<<"["<<z.first<<"]="<<z.second<<",";cout<<endl;}
template<typename T>vector<vector<T>>vec(ll x, ll y, T w){vector<vector<T>>v(x,vector<T>(y,w));return v;}
ll gcd(ll x,ll y){ll r;while(y!=0&&(r=x%y)!=0){x=y;y=r;}return y==0?x:y;}
vector<ll>dx={1,-1,0,0,1,1,-1,-1};vector<ll>dy={0,0,1,-1,1,-1,1,-1};
template<typename T>vector<T> make_v(size_t a,T b){return vector<T>(a,b);}
template<typename... Ts>auto make_v(size_t a,Ts... ts){return vector<decltype(make_v(ts...))>(a,make_v(ts...));}
template<typename T1, typename T2>ostream &operator<<(ostream &os, const pair<T1, T2>&p){return os << p.first << " " << p.second;}
template<typename T>ostream &operator<<(ostream &os, const vector<T> &v){for(auto &z:v)os << z << " ";cout<<"|"; return os;}
template<typename T>void rearrange(vector<int>&ord, vector<T>&v){
  auto tmp = v;
  for(int i=0;i<tmp.size();i++)v[i] = tmp[ord[i]];
}
template<typename Head, typename... Tail>void rearrange(vector<int>&ord,Head&& head, Tail&&... tail){
  rearrange(ord, head);
  rearrange(ord, tail...);
}
template<typename T> vector<int> ascend(const vector<T>&v){
  vector<int>ord(v.size());iota(ord.begin(),ord.end(),0);
  sort(ord.begin(),ord.end(),[&](int i,int j){return v[i]<v[j];});
  return ord;
}
template<typename T> vector<int> descend(const vector<T>&v){
  vector<int>ord(v.size());iota(ord.begin(),ord.end(),0);
  sort(ord.begin(),ord.end(),[&](int i,int j){return v[i]>v[j];});
  return ord;
}
ll FLOOR(ll n,ll div){return n>=0?n/div:(n-div+1)/div;}
ll CEIL(ll n,ll div){return n>=0?(n+div-1)/div:n/div;}
ll digitsum(ll n){ll ret=0;while(n){ret+=n%10;n/=10;}return ret;}
template<typename T>T min(const vector<T>&v){return *min_element(v.begin(),v.end());}
template<typename T>T max(const vector<T>&v){return *max_element(v.begin(),v.end());}
template<typename T>T acc(const vector<T>&v){return accumulate(v.begin(),v.end(),T(0));};
template<typename T>T reverse(const T &v){return T(v.rbegin(),v.rend());};
//mt19937 mt(chrono::steady_clock::now().time_since_epoch().count());
int popcount(ll x){return __builtin_popcountll(x);};
int poplow(ll x){return __builtin_ctzll(x);};
int pophigh(ll x){return 63 - __builtin_clzll(x);};
template<typename T>T poll(queue<T> &q){auto ret=q.front();q.pop();return ret;};
template<typename T>T poll(priority_queue<T> &q){auto ret=q.top();q.pop();return ret;};
template<typename T>T poll(QP<T> &q){auto ret=q.top();q.pop();return ret;};
template<typename T>T poll(stack<T> &s){auto ret=s.top();s.pop();return ret;};
template< typename T = int >
struct edge {
  int to;
  T cost;
  int id;
  edge():id(-1){};
  edge(int to, T cost = 1, int id = -1):to(to), cost(cost), id(id){}
  operator int() const { return to; }
};

template<typename T>
using Graph = vector<vector<edge<T>>>;
template<typename T>
Graph<T>revgraph(const Graph<T> &g){
  Graph<T>ret(g.size());
  for(int i=0;i<g.size();i++){
    for(auto e:g[i]){
      int to = e.to;
      e.to = i;
      ret[to].push_back(e);
    }
  }
  return ret;
}
template<typename T>
Graph<T> readGraph(int n,int m,int indexed=1,bool directed=false,bool weighted=false){
  Graph<T> ret(n);
  for(int es = 0; es < m; es++){
    int u,v;
    T w=1;
    cin>>u>>v;u-=indexed,v-=indexed;
    if(weighted)cin>>w;
    ret[u].emplace_back(v,w,es);
    if(!directed)ret[v].emplace_back(u,w,es);
  }
  return ret;
}
template<typename T>
Graph<T> readParent(int n,int indexed=1,bool directed=true){
  Graph<T>ret(n);
  for(int i=1;i<n;i++){
    int p;cin>>p;
    p-=indexed;
    ret[p].emplace_back(i);
    if(!directed)ret[i].emplace_back(p);
  }
  return ret;
}
template< typename structure_t, typename get_t, typename update_t >
struct SegmentTree2DCompressed {
 
  using merge_f = function< get_t(get_t, get_t) >;
  using range_get_f = function< get_t(structure_t &, int, int) >;
  using update_f = function< void(structure_t &, int, update_t) >;
 
  int sz;
  vector< structure_t > seg;
  const merge_f f;
  const range_get_f g;
  const update_f h;
  const get_t identity;
  vector< vector< int > > LL, RR;
  vector< vector< int > > beet;
 
  SegmentTree2DCompressed(int n, const merge_f &f, const range_get_f &g, const update_f &h, const get_t &identity)
      : f(f), g(g), h(h), identity(identity) {
    sz = 1;
    while(sz < n) sz <<= 1;
    beet.resize(2 * sz);
    LL.resize(2 * sz);
    RR.resize(2 * sz);
  }
 
  void update(int a, int x, update_t z, int k, int l, int r) {
    if(r <= a || a + 1 <= l) return;
    if(a <= l && r <= a + 1) return h(seg[k], x, z);
    update(a, LL[k][x], z, 2 * k + 0, l, (l + r) >> 1);
    update(a, RR[k][x], z, 2 * k + 1, (l + r) >> 1, r);
    return h(seg[k], x, z);
  }
 
  void update(int x, int y, update_t z) {
    y = lower_bound(begin(beet[1]), end(beet[1]), y) - begin(beet[1]);
    return update(x, y, z, 1, 0, sz);
  }
 
  get_t query(int a, int b, int x, int y, int k, int l, int r) {
    if(a >= r || b <= l) return identity;
    if(a <= l && r <= b) return g(seg[k], x, y);
    return f(query(a, b, LL[k][x], LL[k][y], 2 * k + 0, l, (l + r) >> 1),
             query(a, b, RR[k][x], RR[k][y], 2 * k + 1, (l + r) >> 1, r));
  }
 
  get_t query(int a, int b, int x, int y) {
    x = lower_bound(begin(beet[1]), end(beet[1]), x) - begin(beet[1]);
    y = lower_bound(begin(beet[1]), end(beet[1]), y) - begin(beet[1]);
    return query(a, b, x, y, 1, 0, sz);
  }
 
  void build() {
    for(int k = (int) beet.size() - 1; k >= sz; k--) {
      sort(begin(beet[k]), end(beet[k]));
      beet[k].erase(unique(begin(beet[k]), end(beet[k])), end(beet[k]));
    }
    for(int k = sz - 1; k > 0; k--) {
      beet[k].resize(beet[2 * k + 0].size() + beet[2 * k + 1].size());
      merge(begin(beet[2 * k + 0]), end(beet[2 * k + 0]), begin(beet[2 * k + 1]), end(beet[2 * k + 1]), begin(beet[k]));
      beet[k].erase(unique(begin(beet[k]), end(beet[k])), end(beet[k]));
      LL[k].resize(beet[k].size() + 1);
      RR[k].resize(beet[k].size() + 1);
      int tail1 = 0, tail2 = 0;
      for(int i = 0; i < beet[k].size(); i++) {
        while(tail1 < beet[2 * k + 0].size() && beet[2 * k + 0][tail1] < beet[k][i]) ++tail1;
        while(tail2 < beet[2 * k + 1].size() && beet[2 * k + 1][tail2] < beet[k][i]) ++tail2;
        LL[k][i] = tail1, RR[k][i] = tail2;
      }
      LL[k][beet[k].size()] = (int) beet[2 * k + 0].size();
      RR[k][beet[k].size()] = (int) beet[2 * k + 1].size();
    }
    for(int k = 0; k < beet.size(); k++) {
      seg.emplace_back(structure_t(beet[k].size(),f,identity));
    }
  }
 
  void preupdate(int x, int y) {
    beet[x + sz].push_back(y);
  }
};
template< typename Monoid >
struct SegmentTree {
  using F = function< Monoid(Monoid, Monoid) >;
 
  int sz;
  vector< Monoid > seg;
 
  const F f;
  const Monoid M1;
 
  SegmentTree(int n, const F f, const Monoid &M1) : f(f), M1(M1) {
    sz = 1;
    while(sz < n) sz <<= 1;
    seg.assign(2 * sz, M1);
  }
 
  void set(int k, const Monoid &x) {
    seg[k + sz] = x;
  }
 
  void build() {
    for(int k = sz - 1; k > 0; k--) {
      seg[k] = f(seg[2 * k + 0], seg[2 * k + 1]);
    }
  }
 
  void update(int k, const Monoid &x) {
    k += sz;
    seg[k] = x;
    while(k >>= 1) {
      seg[k] = f(seg[2 * k + 0], seg[2 * k + 1]);
    }
  }
 
  Monoid query(int a, int b) {
    Monoid L = M1, R = M1;
    for(a += sz, b += sz; a < b; a >>= 1, b >>= 1) {
      if(a & 1) L = f(L, seg[a++]);
      if(b & 1) R = f(seg[--b], R);
    }
    return f(L, R);
  }
 
  Monoid operator[](const int &k) const {
    return seg[k + sz];
  }
 
  template< typename C >
  int find_subtree(int a, const C &check, Monoid &M, bool type) {
    while(a < sz) {
      Monoid nxt = type ? f(seg[2 * a + type], M) : f(M, seg[2 * a + type]);
      if(check(nxt)) a = 2 * a + type;
      else M = nxt, a = 2 * a + 1 - type;
    }
    return a - sz;
  }
 
 
  template< typename C >
  int find_first(int a, const C &check) {
    Monoid L = M1;
    if(a <= 0) {
      if(check(f(L, seg[1]))) return find_subtree(1, check, L, false);
      return -1;
    }
    int b = sz;
    for(a += sz, b += sz; a < b; a >>= 1, b >>= 1) {
      if(a & 1) {
        Monoid nxt = f(L, seg[a]);
        if(check(nxt)) return find_subtree(a, check, L, false);
        L = nxt;
        ++a;
      }
    }
    return -1;
  }
 
  template< typename C >
  int find_last(int b, const C &check) {
    Monoid R = M1;
    if(b >= sz) {
      if(check(f(seg[1], R))) return find_subtree(1, check, R, true);
      return -1;
    }
    int a = sz;
    for(b += sz; a < b; a >>= 1, b >>= 1) {
      if(b & 1) {
        Monoid nxt = f(seg[--b], R);
        if(check(nxt)) return find_subtree(b, check, R, true);
        R = nxt;
      }
    }
    return -1;
  }
};
template<typename T>
struct Compress{
	vector<T>v;
	Compress(){
	}
	Compress(const vector<T>&input){
		add(input);
    build();
	}
  template<typename... Args>
  Compress(const vector<T> &head,const Args& ...input){
    add(head, input...);
    build();
  }
  template<typename... Args>
  Compress(const T &head,const Args& ...input){
    add(head, input...);
    build();
  }
  void build(){
		sort(v.begin(), v.end());
    v.erase(unique(v.begin(),v.end()),v.end());
  }
	void add(const vector<T>&add){
		v.insert(v.end(),add.begin(), add.end());
	}
  template<typename Head, typename ...Tail>
  void add(const Head& head,const Tail& ...tail){
    add(head);
    add(tail...);
  }
  void add(T val){
    v.push_back(val);
  }
  int next(T val){
    return lower_bound(v.begin(), v.end(), val) - v.begin();
  }
  int prev(T val){
    return upper_bound(v.begin(), v.end(), val) - v.begin() - 1;
  }
  bool exist(T val){
    return binary_search(v.begin(), v.end(), val);
  }
  T val(int x){
    return v[x];
  }
  vector<int>compress(const vector<T>&input){
    vector<int>ret(input.size());
    for(int i=0;i<input.size();i++)ret[i]=next(input[i]);
    return ret;
  }
  int operator[](T val){
    return next(val);
  }
  int size(){
    return v.size();
  }
};
int main(){
  cin.tie(nullptr);
  ios_base::sync_with_stdio(false);
  ll res=0,buf=0;
  bool judge = true;
  using S=SegmentTree<ll>;
  auto f=[](ll x,ll y){return max(x,y);};
  auto g=[](S &s,int x,int y){return s.query(x,y);};
  auto h=[](S &s,int x,ll y){s.update(x,max(s[x],y));};
  const ll inf=1e18;
  int n,q;cin>>n>>q;
  vector<ll>l,r,s;
  vector<ll>type,x,y;
  auto add=[&](){
    ll a,b,c,d,e,f;cin>>a>>b>>c>>d>>e>>f;
    l.PB(min({a,c,e}));
    r.PB(max({a,c,e}));
    s.PB(abs((c-a)*(f-b)-(d-b)*(e-a)));
    type.PB(1);
    x.PB(l.size()-1);
    y.PB(-1);
  };
  
  rep(i,0,n){
    add();
  }
  rep(i,0,q){
    ll ty;cin>>ty;
    if(ty==1)add();
    else{
      ll l,r;cin>>l>>r;
      type.PB(2);
      x.PB(l);
      y.PB(r);
    }
  }
  /*debug(l);
  debug(r);
  debug(s);
  debug(type);
  debug(x);
  debug(y);*/
  Compress mp(l);
  ll sz=mp.size();
  SegmentTree2DCompressed<S,ll,ll>seg(sz,f,g,h,-inf);
  q=type.size();
  rep(i,0,q){
    if(type[i]==1)seg.preupdate(mp[l[x[i]]],r[x[i]]);
  }
  seg.build();
  rep(i,0,q){
    if(type[i]==1){
      //cout<<mp[l[x[i]]] spa r[x[i]] spa s[x[i]]<<endl;
      seg.update(mp[l[x[i]]],r[x[i]],s[x[i]]);
    }
    else{
      ll mx=seg.query(mp.next(x[i]),sz,0,y[i]+1);
      cout<<max(-1LL,mx)<<endl;
    }
  }
  return 0;
}