Submission #777657

#	Time	Username	Problem	Language	Result	Execution time	Memory
777657		Sam_a17	New Home (APIO18_new_home)	C++17	57 / 100	5054 ms	483944 KiB

new_home

#define _CRT_SECURE_NO_WARNINGS
#include <bits/stdc++.h>
//#include "temp.cpp"
#include <cstdio>
using namespace std;
 
#ifndef ONLINE_JUDGE
#define dbg(x) cerr << #x <<" "; print(x); cerr << endl;
#else
#define dbg(x)
#endif
 
#define sz(x) (int)x.size()
#define len(x) (int)x.length()
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define clr(x) (x).clear()
#define uniq(x) x.resize(unique(all(x)) - x.begin());
#define blt __builtin_popcount
 
#define pb push_back
#define popf pop_front
#define popb pop_back
#define ld long double
#define ll long long
 
void print(long long t) {cerr << t;}
void print(int t) {cerr << t;}
void print(string t) {cerr << t;}
void print(char t) {cerr << t;}
void print(double t) {cerr << t;}
void print(long double t) {cerr << t;}
void print(unsigned long long t) {cerr << t;}
 
#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;
#define nl '\n'
 
// Indexed Set  
template <class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
 
template <class T, class V> void print(pair <T, V> p);
template <class T> void print(vector <T> v);
template <class T> void print(set <T> v);
template <class T, class V> void print(map <T, V> v);
template <class T> void print(multiset <T> v);
template <class T, class V> void print(T v[],V n) {cerr << "["; for(int i = 0; i < n; i++) {print(v[i]); cerr << " "; } cerr << "]";}
template <class T, class V> void print(pair <T, V> p) {cerr << "{"; print(p.first); cerr << ","; print(p.second); cerr << "}";}
template <class T> void print(vector <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
// template <class T> void print(vector <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T> void print(set <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T> void print(multiset <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T> void print(Tree <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T, class V> void print(map <T, V> v) {cerr << "[ "; for (auto i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T> void print(deque <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
 
 
// for random generations
mt19937 myrand(chrono::steady_clock::now().time_since_epoch().count());
// mt19937 myrand(131);
 
// for grid problems
int dx[8] = {-1,0,1,0,1,-1,1,-1};
int dy[8] = {0,1,0,-1,1,1,-1,-1};
 
// lowest / (1 << 17) >= 1e5 / (1 << 18) >= 2e5 / (1 << 21) >= 1e6
void fastIO() {
  ios_base::sync_with_stdio(false);
  cin.tie(nullptr); cout.tie(nullptr);
}
// file in/out
void setIO(string str = "") {
  fastIO();
 
  // if(str == "input") {
    // freopen("input.txt", "r", stdin);
    // freopen("output.txt", "w", stdout);
  // } else if(str != "") {
    // freopen((str + ".in").c_str(), "r", stdin);
    // freopen((str + ".out").c_str(), "w", stdout);
  // }
}
 
const int N = 2e6 + 10 + 5e5 + 10, maxM = 3e5 + 10, inf = 1e8, infi = 2e9 + 10;
vector<pair<pair<int, int>, int>> to_add[N];
int n, k, q;
 
struct node {
  int x, t, a, b;
};
 
vector<node> cand;

struct segTreeMax {  // Range Queries
  multiset<int> mt[N];
  vector<int> mTree;
  int size, sub;

  void init(ll n) {
    size = 1;
    while(size < n)  {
      size *= 2;
    }
    mTree.assign(2 * size - 1, 0);
  }

  void upd(int u, ll v, int x, int lx, int rx) { // set value at pos u
    if(rx - lx == 1) {
      x -= sub;
      if(v >= 0) {
        mt[x].insert(v);
      } else {
        assert(mt[x].find(-v) != mt[x].end());
        mt[x].erase(mt[x].find(-v));
      }

      if(!mt[x].empty()) {
        mTree[x + sub] = *prev(mt[x].end());
      } else {
        mTree[x + sub] = -1;
      }
      return;
    }

    int m = (lx + rx) / 2;
    if(u < m) {
      upd(u, v, 2 * x + 1, lx, m);
    }else {
      upd(u, v, 2 * x + 2, m, rx);
    }
    mTree[x] = max(mTree[2 * x + 1], mTree[2 * x + 2]);
  }

  void upd(int u, ll v) {
    upd(u, v, 0, 0, size);
  }

  int gt(int u, int x, int lx, int rx) { // set value at pos u
    if(rx - lx == 1) {
      sub = x;
      return x;
    }

    int m = (lx + rx) / 2;
    if(u < m) {
      return gt(u, 2 * x + 1, lx, m);
    }else {
      return gt(u, 2 * x + 2, m, rx);
    }
  }

  int gt(int u) {
    return gt(u, 0, 0, size);
  }

  int qry(int l, int r, int x, int lx, int rx) { // range queries
    if(l >= rx || lx >= r) {
      return -1;
    }

    if(lx >= l && r >= rx) {
      return mTree[x];
    }

    int m = (rx + lx) / 2;
    int s1 = qry(l, r, 2 * x + 1, lx, m);
    int s2 = qry(l, r, 2 * x + 2, m, rx);
    return max(s1, s2);
  }

  int qry(int l, int r) {
    return qry(l, r, 0,0,size);
  }
};

struct segTreeMin {  // Range Queries
  multiset<int> mt[N];
  vector<int> mTree;
  int size;
  int sub;

  void init(ll n) {
    size = 1;
    while(size < n)  {
      size *= 2;
    }
    mTree.assign(2 * size - 1, INT32_MAX);
  }

  int ind(int xx) {
    if(xx >= sub) {
      return xx - sub;
    } else {
      return xx;
    }
  }

  void upd(int u, ll v, int x, int lx, int rx) { // set value at pos u
    if(rx - lx == 1) {
      x -= sub;
      if(v >= 0) {
        mt[x].insert(v);
      } else {
        assert(mt[x].find(-v) != mt[x].end());
        mt[x].erase(mt[x].find(-v));
      }

      if(!mt[x].empty()) {
        mTree[x + sub] = *mt[x].begin();
      } else {
        mTree[x + sub] = INT32_MAX;
      }
      return;
    }

    int m = (lx + rx) / 2;
    if(u < m) {
      upd(u, v, 2 * x + 1, lx, m);
    }else {
      upd(u, v, 2 * x + 2, m, rx);
    }
    mTree[x] = min(mTree[2 * x + 1], mTree[2 * x + 2]);
  }

  void upd(int u, ll v) {
    upd(u, v, 0, 0, size);
  }

  int gt(int u, int x, int lx, int rx) { // set value at pos u
    if(rx - lx == 1) {
      sub = x;
      return x;
    }

    int m = (lx + rx) / 2;
    if(u < m) {
      return gt(u, 2 * x + 1, lx, m);
    }else {
      return gt(u, 2 * x + 2, m, rx);
    }
  }

  int gt(int u) {
    return gt(u, 0, 0, size);
  }

  int qry(int l, int r, int x, int lx, int rx) { // range queries
    if(l >= rx || lx >= r) {
      return INT32_MAX;
    }

    if(lx >= l && r >= rx) {
      return mTree[x];
    }

    int m = (rx + lx) / 2;
    int s1 = qry(l, r, 2 * x + 1, lx, m);
    int s2 = qry(l, r, 2 * x + 2, m, rx);
    return min(s1, s2);
  }

  int qry(int l, int r) {
    return qry(l, r, 0,0,size);
  }
};

segTreeMax rs;
segTreeMin ls;

vector<int> compress_times, compress_locations;
map<int, int> mx_col[maxM];
int pat[maxM];

int get(int val) {
  return lower_bound(all(compress_locations), val) - compress_locations.begin();
}

void add_interval(int type, int l, int r) {
  int mid = (l + r + 1) / 2;
  l = get(l);
  r = get(r);
  int midone = get(mid - 1);
  mid = midone + 1;
  
  if(mid <= r) {
    rs.upd(mid, r);
  }
  if(l < mid) {
    ls.upd(midone, l);
  }
}

void del_interval(int type, int l, int r) {
  int mid = (l + r + 1) / 2;
  
  l = get(l);
  r = get(r);
  int midone = get(mid - 1);
  mid = midone + 1;

  if(mid <= r) rs.upd(mid, -r);
  if(l < mid) ls.upd(midone, -l);
}

void solve_() {
  cin >> n >> k >> q;
 
  for(int i = 1; i <= n; i++) {
    int x, t, a, b; 
    cin >> x >> t >> a >> b;
    
    compress_times.push_back(a);
    compress_times.push_back(b + 1);

    compress_locations.push_back(x);

    cand.push_back({x, t, a, b});
  }

  vector<pair<int, int>> queries;
  for(int i = 1; i <= q; i++) {
    int l, y; cin >> l >> y;
    compress_locations.push_back(l);
    compress_times.push_back(y);
    queries.emplace_back(l, y);
  }

  compress_locations.push_back(-infi);
  compress_locations.push_back(infi);
  
  sort(all(compress_times));
  uniq(compress_times);


  for(auto &i: cand) {
    i.a = lower_bound(all(compress_times), i.a) - compress_times.begin();
    i.b = lower_bound(all(compress_times), i.b + 1) - compress_times.begin();

    to_add[i.a].push_back({{i.x, i.t}, 1});
    to_add[i.b].push_back({{i.x, i.t}, 2});
  } 

  for(int i = 1; i <= k; i++) {
    mx_col[i][-infi] = 1;
    mx_col[i][infi] = 1;
  }

  for(int i = 0; i < sz(compress_times); i++) {
    for(auto cc: to_add[i]) {
      if(cc.second == 1) { 
        auto j = cc.first;
        if(mx_col[j.second].find(j.first) != mx_col[j.second].end()) {
          mx_col[j.second][j.first]++;
          continue;
        }

        mx_col[j.second][j.first] = 1;
        auto it = mx_col[j.second].find(j.first);
        auto it_prev = prev(it), it_next = next(it);

        int mid1 = (it_next->first + j.first + 1) / 2;
        int mid2 = (it_prev->first + j.first + 1) / 2;

        compress_locations.push_back(mid1);
        compress_locations.push_back(mid1 - 1);

        compress_locations.push_back(mid2);
        compress_locations.push_back(mid2 - 1);
      } else if(cc.second == 2) {
        auto j = cc.first;
        mx_col[j.second][j.first]--;
        if(mx_col[j.second][j.first] == 0) {

          auto it = mx_col[j.second].find(j.first);
          auto it_prev = prev(it), it_next = next(it);

          int mid1 = (it_next->first + it_prev->first + 1) / 2;
          
          compress_locations.push_back(mid1);
          compress_locations.push_back(mid1 - 1);
  
          mx_col[j.second].erase(j.first);
        }
      } 
    }
  }

  int it = 1;
  for(auto &i: queries) {
    i.second = lower_bound(all(compress_times), i.second) - compress_times.begin();
    to_add[i.second].push_back({{i.first, it}, 0});
    it++;
  }

  sort(all(compress_locations));
  uniq(compress_locations);
  ls.init(sz(compress_locations) + 2);
  rs.init(sz(compress_locations) + 2);
  rs.gt(0);
  ls.gt(0);

  for(int i = 1; i <= k; i++) {
    mx_col[i].clear();
    
    mx_col[i][-infi] = 1;
    mx_col[i][infi] = 1;
  }

  vector<bool> empty(k + 1, true);
  int emp = k;
  for(int i = 0; i < sz(compress_times); i++) {
    for(auto cc: to_add[i]) {
      if(cc.second == 1) { 
        auto j = cc.first;
        if(mx_col[j.second].find(j.first) != mx_col[j.second].end()) {
          mx_col[j.second][j.first]++;
          continue;
        }

        mx_col[j.second][j.first] = 1;
        if(sz(mx_col[j.second]) == 3) {
          empty[j.second] = false;
          emp--;
        }

        auto it = mx_col[j.second].find(j.first);
        auto it_prev = prev(it), it_next = next(it);

        int mid1 = (it_next->first + j.first + 1) / 2;
        int mid2 = (it_prev->first + j.first + 1) / 2;

        add_interval(j.second, it_prev->first, j.first);
        add_interval(j.second, j.first, it_next->first);

        if(it_prev->first != -infi || it_next->first != infi) {
          del_interval(j.second, it_prev->first, it_next->first);
        }
      } else if(cc.second == 2) {
        auto j = cc.first;
        mx_col[j.second][j.first]--;
        if(mx_col[j.second][j.first] == 0) {

          auto it = mx_col[j.second].find(j.first);
          if(sz(mx_col[j.second]) == 3) {
            empty[j.second] = true;
            emp++;
          }

          auto it_prev = prev(it), it_next = next(it);
          del_interval(j.second, it_prev->first, j.first);
          del_interval(j.second, j.first, it_next->first);

          if(it_prev->first != -infi || it_next->first != infi) {
            add_interval(j.second, it_prev->first, it_next->first);
          }

          mx_col[j.second].erase(j.first);
        }
      } else {
        auto j = cc.first;
        if(emp) {
          pat[j.second] = -1;
        } else {
          int cur = lower_bound(all(compress_locations), j.first) - compress_locations.begin();
          int li = ls.qry(cur, sz(compress_locations) + 1);
          int ri = rs.qry(0, cur + 1);

          if(li <= cur) {
            pat[j.second] = max(pat[j.second], j.first - compress_locations[li]);
          }

          if(ri >= cur) {
            pat[j.second] = max(pat[j.second], compress_locations[ri] - j.first);
          }
        }
      }
    }
  }

  for(int i = 1; i <= q; i++) {
    cout << pat[i] << '\n';
  }
 }
 
int main() {
  setIO();
 
  auto solve = [&](int test_case)-> void {
    for(int i = 1; i <= test_case; i++) {
      solve_();
    }
  };
 
  int test_cases = 1;
  // cin >> test_cases;
  solve(test_cases);
 
  return 0;
}

Compilation message (stderr)

new_home.cpp: In function 'void solve_()':
new_home.cpp:429:13: warning: unused variable 'mid1' [-Wunused-variable]
  429 |         int mid1 = (it_next->first + j.first + 1) / 2;
      |             ^~~~
new_home.cpp:430:13: warning: unused variable 'mid2' [-Wunused-variable]
  430 |         int mid2 = (it_prev->first + j.first + 1) / 2;
      |             ^~~~

• Subtask 1: 5 / 5
• Subtask 2: 7 / 7
• Subtask 3: 10 / 10
• Subtask 4: 0 / 23
• Subtask 5: 35 / 35
• Subtask 6: 0 / 20