제출 #1190662

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
1190662		epicci23	Mosaic (IOI24_mosaic)	C++20	100 / 100	541 ms	92176 KiB

mosaic

#include "bits/stdc++.h"
//#include "mosaic.h"
#define ll long long
#define all(v) v.begin() , v.end()
#define sz(a) (ll)a.size()
using namespace std;

const ll N = 2e5 + 5;
ll n, q;
ll ans[N], row[N], col[N];
ll ar[N][6], v[6][N], dp_ar[N][6], dp_v[6][N];
vector<array<ll,4>> to_calc;
vector<array<ll,3>> ones; 
vector<ll> prer,prec;

vector<ll> mosaic(vector<int> X, vector<int> Y, vector<int> T, vector<int> B, vector<int> L, vector<int> R) {
  n = sz(X);
  for(int i = 1; i <= n; i++) col[i] = X[i-1];
  for(int i = 1; i <= n; i++) row[i] = Y[i-1];
  
  for(int i = 1; i <= n; i++){
    for(int j = 1; j <= 5; j++){
      if(i == 1) ar[i][j] = col[j];
      else if(j == 1) ar[i][j] = row[i];
      else ar[i][j] = min(1 - ar[i-1][j], 1 - ar[i][j-1]);
      
      dp_ar[i][j] = dp_ar[i-1][j] + dp_ar[i][j-1] - dp_ar[i-1][j-1] + (ar[i][j] == 1);
    }
  }

  for(int i = 1; i <= 5; i++){
    for(int j = 1; j <= n; j++){
      if(i == 1) v[i][j] = col[j];
      else if(j == 1) v[i][j] = row[i];
      else v[i][j] = min(1 - v[i-1][j], 1 - v[i][j-1]);

      dp_v[i][j] = dp_v[i-1][j] + dp_v[i][j-1] - dp_v[i-1][j-1] + (v[i][j] == 1);
    }
  }

  for(int j = n; j > 5; j--){
    if(v[5][j] == 1){
      ones.push_back({5 - j, 5, j});
    }
  }

  for(int i = 5; i <= n; i++){
   if(ar[i][5] == 1){
     ones.push_back({i - 5, i, 5});
   }
  }

  prer.assign(sz(ones) + 2, 0), prec.assign(sz(ones) + 2, 0);

  for(int i = 0; i < sz(ones); i++){
    prer[i] = (i > 0 ? prer[i-1] : 0) + ones[i][1];
    prec[i] = (i > 0 ? prec[i-1] : 0) + ones[i][2];
  }

  q = sz(B);
  for(int i=0;i<q;i++){
    int t = T[i] + 1, b = B[i] + 1, l = L[i] + 1, r = R[i] + 1;

    to_calc.push_back({b, r, i, 1});
    to_calc.push_back({b, l - 1, i, -1});
    to_calc.push_back({t - 1, r, i, -1});
    to_calc.push_back({t - 1, l - 1, i, 1});
  }

  for(array<ll,4> X : to_calc){
    if(X[0] == 0 || X[1] == 0) continue;
    
    if(X[0] >= 5 && X[1] >= 5){
       ll res = dp_v[4][X[1]] + dp_ar[X[0]][4] - dp_v[4][4];
        
       //cout << X[0] << ' ' << X[1] <<' ' << res << '\n';

       ll l = lower_bound(all(ones), array<ll,3>{5 - X[1], 5, X[1]}) - ones.begin();
       ll r = upper_bound(all(ones), array<ll,3>{X[0] - 5, X[0], 5}) - ones.begin();
       r--;

       //cout << l << ' ' << r << '\n';
      
       if(l <= r){
        int gl = l, gr = r;

        while(gl < gr){
         int mid = (gl + gr + 1) / 2;
         if(X[1] - ones[mid][2] <= X[0] - ones[mid][1]) gl = mid;
         else gr = mid - 1;
        }
      
        while(gl >= 0 && X[1] - ones[gl][2] > X[0] - ones[gl][1]) gl--;
        
        //cout << "gl : " << gl << '\n';

        if(gl >= l){
         res += (gl - l + 1) * (X[1] + 1) - (prec[gl] - (l == 0 ? 0 : prec[l - 1]));
        }

        //cout << X[0] << ' ' << X[1] <<' ' << res << '\n';
        
        //while(gl < sz(ones) && X[1] - ones[gl][2] < X[0] - ones[gl][1]) gl++;
        //cout << "gl : " << gl << '\n';

        if(gl + 1 <= r){
         res += (r - gl) * (X[0] + 1) - (prer[r] - (gl >= 0 ? prer[gl] : 0));
        }

        //cout << X[0] << ' ' << X[1] <<' ' << res << '\n';
      }


      //for(int u = l; u <= r; u++) res += min(X[0] - ones[u][1] + 1, X[1] - ones[u][2] + 1);
      // opt here!
      
    // cout << X[0] << ' ' << X[1] <<' ' << res << '\n';
      ans[X[2]] += X[3] * res;
    }
    else{
      if(X[0] < 5){
        ans[X[2]] += X[3] * dp_v[X[0]][X[1]]; 
      }
      else{
        ans[X[2]] += X[3] * dp_ar[X[0]][X[1]];
      }
    }
  }
  
  vector<ll> res(q); 
  for(int i=0;i<q;i++) res[i] = ans[i];
  return res;
}

/*void _(){
  int _n, _q;
  cin >> _n;
  vector<int> xd1(_n, 0), xd2(_n, 0);
  for(int i = 0; i < _n; i++) cin >> xd1[i];
  for(int i = 0; i < _n; i++) cin >> xd2[i];

  cin >> _q;
  vector<int> T(_q),B(_q),L(_q),R(_q);
  for(int i=0;i<_q;i++){
    cin >> T[i] >> B[i] >> L[i] >> R[i];
  }

  vector<long long> res = mosaic(xd1,xd2,T,B,L,R);
  for(int i = 0; i < sz(res); i++) cout << res[i] << '\n';
}

int32_t main(){
  ios::sync_with_stdio(0);
  cin.tie(0);
  int tc=1;//cin >> tc;
  while(tc--) _();
  return 0;
}*/

• Subtask 0: 0 / 0
• Subtask 1: 5 / 5
• Subtask 2: 7 / 7
• Subtask 3: 7 / 7
• Subtask 4: 10 / 10
• Subtask 5: 8 / 8
• Subtask 6: 22 / 22
• Subtask 7: 19 / 19
• Subtask 8: 22 / 22