oj.uz

Submission #1116009

# Submission time Handle Problem Language Result Execution time Memory
1116009 2024-11-21T07:41:16 Z NotLinux Autobahn (COI21_autobahn) C++17
100 / 100
 173 ms 42008 KB 
// Author : FatihCihan
#include <bits/stdc++.h>
using namespace std;
#define int long long
#define all(v) v.begin() , v.end()
#define sz(a) (int)a.size()
void solve(){
	int n,k,x;
	cin >> n >> k >> x;
	int l[n] , t[n] , r[n];
	vector < int > comp = {0};
	for(int i = 0;i<n;i++){
		cin >> l[i] >> t[i] >> r[i];
		t[i] = min(t[i] , r[i] - l[i] + 1);

		comp.push_back(l[i] - 1);
		comp.push_back(l[i]);
		comp.push_back(l[i] + 1);

		comp.push_back(l[i] + t[i] - 1);
		comp.push_back(l[i] + t[i]);
		comp.push_back(l[i] + t[i] + 1);

		comp.push_back(r[i] - 1);
		comp.push_back(r[i]);
		comp.push_back(r[i] + 1);
	}
	sort(all(comp));
	comp.resize(unique(all(comp)) - comp.begin());
	auto fnd = [&](int x){
		return lower_bound(all(comp),x) - comp.begin();
	};
	int m = sz(comp);
	comp.push_back(comp.back());
	int st[m+5]={0} , fault[m+5]={0} , en[m+5]={0};
	for(int i = 0;i<n;i++){
		st[fnd(l[i])]++;
		fault[fnd(l[i] + t[i] - 1) + 1]++;
		en[fnd(r[i]) + 1]++;
	}
	int cur_valid=0 , cur_fault=0 , charge[m]={0};
	for(int i = 0;i<m;i++){
		cur_valid += st[i];
		cur_valid -= fault[i];
		cur_fault += fault[i];
		cur_fault -= en[i];
		if(cur_valid + cur_fault >= k){
			charge[i] = cur_fault;
		}
	}	
	// for(int i = 0;i<m;i++){
	// 	cout << comp[i] << " : " << charge[i] << endl;
	// }
	int ans = 0 , cur_ans = 0 , rp = 0;
	for(int i = 0;i<m;i++){
		while(rp < m and comp[rp] - comp[i] < x){
			cur_ans += charge[rp] * (comp[rp+1] - comp[rp]);
			rp++;
		}
		int reel_ans = cur_ans - charge[rp-1] * (comp[rp] - comp[i] - x);
		ans = max(ans , reel_ans);
		// cout << comp[i] << " " << comp[i] + x << " : " << reel_ans << endl;
		cur_ans -= charge[i] * (comp[i+1] - comp[i]);
	}
	// cout << endl;
	cur_ans = 0;
	int lp = m-1;
	for(int i = m-1;i>=0;i--){
		while(lp > 0 and comp[i] - comp[lp] < x){
			cur_ans += charge[lp] * (comp[lp] - comp[lp-1]);
			lp--;
		}
		int reel_ans = cur_ans - charge[lp+1] * (comp[i] - x - comp[lp]);
		ans = max(ans , reel_ans);
		// cout << comp[i] - x << " " << comp[i] << " : " << reel_ans << endl;
		if(i)cur_ans -= charge[i] * (comp[i] - comp[i-1]);
	}
	cout << ans << endl;
}
signed main(){
	ios_base::sync_with_stdio(0);cin.tie(0);
	int testcase = 1;//cin >> testcase;
	while(testcase--)solve();
	cerr << 1000.0 * clock() / CLOCKS_PER_SEC << " ms" << endl;
}

Subtask #1
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 504 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 592 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 504 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 504 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 592 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 504 KB Output is correct
12 Correct 1 ms 592 KB Output is correct
13 Correct 2 ms 592 KB Output is correct
14 Correct 2 ms 592 KB Output is correct
15 Correct 1 ms 592 KB Output is correct
16 Correct 2 ms 592 KB Output is correct
17 Correct 2 ms 592 KB Output is correct
18 Correct 2 ms 592 KB Output is correct
19 Correct 2 ms 724 KB Output is correct
20 Correct 2 ms 592 KB Output is correct

Subtask #3
50.0 / 50.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 504 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 592 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 504 KB Output is correct
12 Correct 1 ms 592 KB Output is correct
13 Correct 2 ms 592 KB Output is correct
14 Correct 2 ms 592 KB Output is correct
15 Correct 1 ms 592 KB Output is correct
16 Correct 2 ms 592 KB Output is correct
17 Correct 2 ms 592 KB Output is correct
18 Correct 2 ms 592 KB Output is correct
19 Correct 2 ms 724 KB Output is correct
20 Correct 2 ms 592 KB Output is correct
21 Correct 159 ms 41900 KB Output is correct
22 Correct 162 ms 42008 KB Output is correct
23 Correct 155 ms 41904 KB Output is correct
24 Correct 154 ms 41904 KB Output is correct
25 Correct 173 ms 41900 KB Output is correct
26 Correct 146 ms 41908 KB Output is correct
27 Correct 147 ms 41916 KB Output is correct
28 Correct 157 ms 41916 KB Output is correct
29 Correct 152 ms 41904 KB Output is correct