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Submission #1002767

# Submission time Handle Problem Language Result Execution time Memory
1002767 2024-06-19T19:29:39 Z teesla Autobahn (COI21_autobahn) C++14
50 / 100
 975 ms 58320 KB 
#include <bits/stdc++.h>
using namespace std;
typedef pair<int,int> ii;
typedef pair<int, ii> iii;

struct seg{

    vector<int> extra, qnt;
    int n;
    seg(){};
    seg(int x){n = x; qnt.assign(4*(x+1), 0); extra.assign(4*(x+1), 0);}

    void addQnt(int pos, int i, int f, int l, int r){
        if(l<=i and f<=r){
            qnt[pos] += 1; 
            return;
        }
        int meio = (i+f)/2;
        if(l <=meio) addQnt(2*pos+1, i, meio, l, r);
        if(r > meio) addQnt(2*pos+2, meio+1, f, l, r);
        return;
    }
    void addExtra(int pos, int i, int f, int l, int r){
        if(l <= i and f<= r){
            extra[pos] += 1;
            return;
        }
        int meio = (i+f)/2;
        if(l <= meio) addExtra(2*pos+1, i, meio, l, r);
        if(r > meio) addExtra(2*pos+2, meio+1, f, l, r);
        return;
    }
    pair<int,int> query(int pos, int i, int f, int idx){
        if(i == f and i == idx){
            return {extra[pos], qnt[pos]};
        }
        int meio = (i+f)/2;
        
        pair<int, int> res;
        if(idx <= meio) res = query(2*pos+1, i, meio, idx);
        else res = query(2*pos+2, meio + 1, f, idx);

        res.first += extra[pos];
        res.second += qnt[pos];
        return res;
    }

    void addQnt(int l, int r){ addQnt(0,0,n,l,r); return;}
    void addExtra(int l, int r) {addExtra(0,0,n,l,r); return;}
    pair<int,int> query(int idx){
        return query(0,0,n,idx);
    }
};

int main(){

    ios_base::sync_with_stdio(false);
    cin.tie(NULL);

    int n,k,x; cin >> n >> k >> x;
    vector<int> aux;
    vector<iii> v;

    for(int i=0; i<n; i++){
        int l,t,r; cin >> l >> t >> r;
        aux.push_back(l-1);
        aux.push_back(l); aux.push_back(l+t-1); aux.push_back(l + t); aux.push_back(r); aux.push_back(r + 1);
        v.push_back({l, {t,r}});
    }

    sort(aux.begin(), aux.end());
    vector<int> aux2;
    aux2.push_back(aux[0]);
    for(int i=1; i<aux.size(); i++){
        if(aux[i] == aux[i-1]) continue;
        else aux2.push_back(aux[i]);
    }
    aux = aux2;

    int cont = 0;
    map<int,int> comp;

    for(auto i: aux){
        if(comp[i] == 0){
            cont++;
            comp[i] = cont;
        }
    }

    seg tree(cont);

    for(auto i: v){
        int l = i.first, t = i.second.first, r = i.second.second;
        //cout << endl << endl;
        
        tree.addQnt(comp[l],comp[r]);
        tree.addExtra(comp[l+t], comp[r]);
    }

    long long int maior = 0;
    long long int sum = 0;

    int i=0, f = 1;

    ii aa = tree.query(comp[aux[0]]);
    if(aa.second >= k){sum += aa.first; maior = sum;}

    while(f< aux.size()){
        int l = aux[i], r = aux[f];
        if(aux[f] == aux[f-1]){
            f++;
            continue;
        }

        if(r - l >= x){
            int anterior = aux[f-1];
            int sobra = anterior-l + 1;
            long long int outro = sum;

            sobra = x - sobra;

            ii valorAnterior = tree.query(comp[anterior]);
            if(valorAnterior.second >= k){
                outro += sobra*valorAnterior.first;
            }
            maior = max(maior, outro);

            sobra = aux[i+1] - aux[i];
            valorAnterior = tree.query(comp[aux[i]]);
            if(valorAnterior.second >= k){
                sum -= sobra*valorAnterior.first;
            }

            i++;

        }
        else{
            int anterior = aux[f-1];
            int sobra = aux[f] - aux[f-1] -1;
            ii valorAnterior = tree.query(comp[aux[f-1]]);
            if(valorAnterior.second >= k){
                sum += sobra*valorAnterior.first;
            }
            ii valorAtual = tree.query(comp[aux[f]]);
            if(valorAtual.second >= k){
                sum += valorAtual.first;
            }
            maior = max(sum, maior);
            f++;
        }
    }
    sum = 0;

    f = aux.size()-1; i = aux.size() - 2;
    aa = tree.query(comp[aux[f]]);
    if(aa.second >= k){sum += aa.first; maior = max(maior, sum);}

    while(i>=0){
        int l = aux[i], r = aux[f];
        if(aux[i] == aux[i+1]){
            i--; continue;
        }

        if(r - l >= x){
            int anterior = aux[i+1];
            int sobra = r - anterior + 1;
            sobra = x-sobra;
            long long int outro = sum;

            ii valorAnterior = tree.query(comp[anterior]);
            if(valorAnterior.second >= k){
                outro += sobra*valorAnterior.first;
            }

            maior = max(maior, outro);

            sobra = aux[f] - aux[f-1];
            valorAnterior = tree.query(comp[aux[f]]);
            if(valorAnterior.second >= k){
                sum -= sobra*valorAnterior.first;
            }
            f--;
        }
        else{
            int sobra = aux[i+1] - aux[i] - 1;
            ii valorAnterior = tree.query(comp[aux[i+1]]);
            if(valorAnterior.second >= k){
                sum += sobra*valorAnterior.first;
            }
            ii valorAtual = tree.query(comp[aux[i]]);
            if(valorAtual.second >= k){
                sum += valorAtual.first;
            }
            maior = max(maior, sum);
            i--;
        }
    }

    cout << maior << '\n';

}

Compilation message

autobahn.cpp: In function 'int main()':
autobahn.cpp:74:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   74 |     for(int i=1; i<aux.size(); i++){
      |                  ~^~~~~~~~~~~
autobahn.cpp:108:12: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  108 |     while(f< aux.size()){
      |           ~^~~~~~~~~~~~
autobahn.cpp:138:17: warning: unused variable 'anterior' [-Wunused-variable]
  138 |             int anterior = aux[f-1];
      |                 ^~~~~~~~

Subtask #1
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 416 KB Output is correct
11 Correct 0 ms 348 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 416 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 3 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 2 ms 344 KB Output is correct
15 Correct 2 ms 348 KB Output is correct
16 Correct 2 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 2 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct

Subtask #3
0 / 50.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 416 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 3 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 2 ms 344 KB Output is correct
15 Correct 2 ms 348 KB Output is correct
16 Correct 2 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 2 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 975 ms 55260 KB Output is correct
22 Correct 915 ms 55848 KB Output is correct
23 Correct 942 ms 58320 KB Output is correct
24 Correct 794 ms 57300 KB Output is correct
25 Incorrect 835 ms 57300 KB Output isn't correct
26 Halted 0 ms 0 KB -