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Submission #1002901

# Submission time Handle Problem Language Result Execution time Memory
1002901 2024-06-19T21:15:37 Z leanchec Autobahn (COI21_autobahn) C++17
100 / 100
 67 ms 23088 KB 
#include<bits/stdc++.h>
using namespace std;

#define int long long

int32_t main(){
	ios_base::sync_with_stdio(0); cin.tie(0);
	int n, k, x;
	cin >> n >> k >> x;

	vector<pair<int,int>> sweep;
	sweep.push_back({0, 0});
	int qtd[300100]={}, il[300100]={}, c[300100]={};

	for(int i=0; i<n; i++){
		int l, t, r;
		cin >> l >> t >> r;
		sweep.push_back({l-1, 0});
		sweep.push_back({min(l+t-1, r), 1});
		sweep.push_back({r, 2});
	}

	sort(sweep.begin(), sweep.end());

	for(int i=1; i<sweep.size(); i++){
		if(qtd[i-1]>=k){
			c[i]=il[i-1]*(sweep[i].first-sweep[i-1].first);
		}
		if(sweep[i].second==0){
			qtd[i]=qtd[i-1]+1;
			il[i]=il[i-1];
		}
		else if(sweep[i].second==1){
			qtd[i]=qtd[i-1];
			il[i]=il[i-1]+1;
		}
		else{
			qtd[i]=qtd[i-1]-1;
			il[i]=il[i-1]-1;
		}
	}

	int pref[300100]={}, suf[300100]={};

	for(int i=1; i<sweep.size(); i++){
		pref[i]=pref[i-1]+c[i];
	}
	for(int i=sweep.size()-2; i>0; i--){
		suf[i]=suf[i+1]+c[i+1];
	}

	int resp=0;
	for(int i=1; i<sweep.size(); i++){
		if(sweep[i].first<=x)resp=max(resp, pref[i]);
		else{
			int ini=1, fim=i;
			int pos=0;
			while(ini<=fim){
				int mid=(ini+fim)/2;

				if(sweep[i].first-sweep[mid].first<=x){
					pos=mid;
					fim=mid-1;
				}
				else ini=mid+1;
			}

			int cr=pref[i]-pref[pos];
			cr+=(qtd[pos-1]>=k)*il[pos-1]*(x-(sweep[i].first-sweep[pos].first));
			if(pos!=0)resp=max(resp, cr);
		}
		if(sweep.back().first-sweep[i].first<=x)resp=max(resp, suf[i]);
		else{
			int ini=i, fim=sweep.size()-2;
			int pos=0;

			while(ini<=fim){
				int mid=(ini+fim)/2;

				if(sweep[mid].first-sweep[i].first<=x){
					pos=mid;
					ini=mid+1;
				}
				else fim=mid-1;
			}
			int cr=suf[i]-suf[pos];
			cr+=(qtd[pos]>=k)*il[pos]*(x-(sweep[pos].first-sweep[i].first));
			if(pos!=0)resp=max(cr, resp);
		}
	}

	cout << resp << '\n';
}

Compilation message

autobahn.cpp: In function 'int32_t main()':
autobahn.cpp:25:16: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   25 |  for(int i=1; i<sweep.size(); i++){
      |               ~^~~~~~~~~~~~~
autobahn.cpp:45:16: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   45 |  for(int i=1; i<sweep.size(); i++){
      |               ~^~~~~~~~~~~~~
autobahn.cpp:53:16: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   53 |  for(int i=1; i<sweep.size(); i++){
      |               ~^~~~~~~~~~~~~

Subtask #1
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 12120 KB Output is correct
2 Correct 7 ms 12124 KB Output is correct
3 Correct 9 ms 12340 KB Output is correct
4 Correct 6 ms 12196 KB Output is correct
5 Correct 5 ms 12124 KB Output is correct
6 Correct 5 ms 12124 KB Output is correct
7 Correct 5 ms 12124 KB Output is correct
8 Correct 6 ms 12140 KB Output is correct
9 Correct 6 ms 12124 KB Output is correct
10 Correct 5 ms 12196 KB Output is correct
11 Correct 5 ms 12192 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 12120 KB Output is correct
2 Correct 7 ms 12124 KB Output is correct
3 Correct 9 ms 12340 KB Output is correct
4 Correct 6 ms 12196 KB Output is correct
5 Correct 5 ms 12124 KB Output is correct
6 Correct 5 ms 12124 KB Output is correct
7 Correct 5 ms 12124 KB Output is correct
8 Correct 6 ms 12140 KB Output is correct
9 Correct 6 ms 12124 KB Output is correct
10 Correct 5 ms 12196 KB Output is correct
11 Correct 5 ms 12192 KB Output is correct
12 Correct 9 ms 12120 KB Output is correct
13 Correct 7 ms 12232 KB Output is correct
14 Correct 6 ms 12088 KB Output is correct
15 Correct 6 ms 12124 KB Output is correct
16 Correct 6 ms 12124 KB Output is correct
17 Correct 6 ms 12124 KB Output is correct
18 Correct 6 ms 12124 KB Output is correct
19 Correct 7 ms 12324 KB Output is correct
20 Correct 6 ms 12124 KB Output is correct

Subtask #3
50.0 / 50.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 12120 KB Output is correct
2 Correct 7 ms 12124 KB Output is correct
3 Correct 9 ms 12340 KB Output is correct
4 Correct 6 ms 12196 KB Output is correct
5 Correct 5 ms 12124 KB Output is correct
6 Correct 5 ms 12124 KB Output is correct
7 Correct 5 ms 12124 KB Output is correct
8 Correct 6 ms 12140 KB Output is correct
9 Correct 6 ms 12124 KB Output is correct
10 Correct 5 ms 12196 KB Output is correct
11 Correct 5 ms 12192 KB Output is correct
12 Correct 9 ms 12120 KB Output is correct
13 Correct 7 ms 12232 KB Output is correct
14 Correct 6 ms 12088 KB Output is correct
15 Correct 6 ms 12124 KB Output is correct
16 Correct 6 ms 12124 KB Output is correct
17 Correct 6 ms 12124 KB Output is correct
18 Correct 6 ms 12124 KB Output is correct
19 Correct 7 ms 12324 KB Output is correct
20 Correct 6 ms 12124 KB Output is correct
21 Correct 67 ms 22944 KB Output is correct
22 Correct 61 ms 22984 KB Output is correct
23 Correct 61 ms 22988 KB Output is correct
24 Correct 51 ms 22992 KB Output is correct
25 Correct 64 ms 23088 KB Output is correct
26 Correct 60 ms 22980 KB Output is correct
27 Correct 56 ms 22988 KB Output is correct
28 Correct 47 ms 22984 KB Output is correct
29 Correct 48 ms 22980 KB Output is correct