oj.uz

Submission #1079994

# Submission time Handle Problem Language Result Execution time Memory
1079994 2024-08-29T05:52:03 Z daoquanglinh2007 Road Construction (JOI21_road_construction) C++17
100 / 100
 6601 ms 102768 KB 
#include <bits/stdc++.h>
using namespace std;

#define int long long
#define pii pair <int, int>
#define fi first
#define se second
#define mp make_pair

const int NM = 2.5e5, LIM = 2e9, inf = 1e18;

int N, K, x[NM+5], y[NM+5], pos_x[NM+5], pos_y[NM+5];
vector <int> arr_x, arr_y;
vector <int> upd[NM+5];
vector <pair <pii, int> > qry[NM+5];
int bit[NM+5];
set <pii> S;
set <pii>::iterator it;
vector <int> od, dlist;

void update(int p){
	while (p <= N){
		bit[p]++;
		p += p & (-p);
	}
}

int get(int p){
	int res = 0;
	while (p > 0){
		res += bit[p];
		p -= p & (-p);
	}
	return res;
}

bool check(int d){
	for (int i = 1; i <= N; i++){
		qry[i].clear();
		bit[i] = 0;
	}
	for (int i = 1; i <= N; i++){
		int lx = lower_bound(arr_x.begin(), arr_x.end(), x[i]-y[i]-d)-arr_x.begin()+1,
		    rx = upper_bound(arr_x.begin(), arr_x.end(), x[i]-y[i]+d)-arr_x.begin();
		int ly = lower_bound(arr_y.begin(), arr_y.end(), x[i]+y[i]-d)-arr_y.begin()+1,
		    ry = upper_bound(arr_y.begin(), arr_y.end(), x[i]+y[i]+d)-arr_y.begin();
		qry[rx].push_back(mp(mp(ly, ry), 1));
		qry[lx-1].push_back(mp(mp(ly, ry), -1));
	}
	int sum = 0;
	for (int i = 1; i <= N; i++){
		for (int u : upd[i]) update(u);
		for (pair <pii, int> q : qry[i])
			sum += q.se*(get(q.fi.se)-get(q.fi.fi-1));
	}
	return sum-N >= 2*K;
}

signed main(){
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);
	
	cin >> N >> K;
	for (int i = 1; i <= N; i++){
		cin >> x[i] >> y[i];
		arr_x.push_back(x[i]-y[i]);
		arr_y.push_back(x[i]+y[i]);
	}
	sort(arr_x.begin(), arr_x.end()); arr_x.erase(unique(arr_x.begin(), arr_x.end()), arr_x.end());
	sort(arr_y.begin(), arr_y.end()); arr_y.erase(unique(arr_y.begin(), arr_y.end()), arr_y.end());
	for (int i = 1; i <= N; i++){
		pos_x[i] = lower_bound(arr_x.begin(), arr_x.end(), x[i]-y[i])-arr_x.begin()+1;
		pos_y[i] = lower_bound(arr_y.begin(), arr_y.end(), x[i]+y[i])-arr_y.begin()+1;
		upd[pos_x[i]].push_back(pos_y[i]);
	}
	int l = 0, r = LIM-1, res = LIM;
	while (l <= r){
		int mid = l+(r-l)/2;
		if (check(mid)){
			res = mid;
			r = mid-1;
		}
		else l = mid+1;
	}
	for (int i = 1; i <= N; i++) od.push_back(i);
	sort(od.begin(), od.end(), [&](int i, int j){
		return mp(x[i], y[i]) < mp(x[j], y[j]); 
	});
	
	for (int i : od){
		pii cur = mp(y[i]-res, -inf);
		while (true){
			it = S.upper_bound(cur);
			if (it == S.end() || it->fi > y[i]+res) break;
			if (it->se < x[i]-res){
				S.erase(it);
				continue;
			}
			dlist.push_back(abs(x[i] - it->se) + abs(y[i] - it->fi));
			cur = *it;
		}
		S.insert(mp(y[i], x[i]));
	}
	sort(dlist.begin(), dlist.end());
	for (int i = 0; i < K; i++)
		cout << dlist[i] << '\n';
	return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 57 ms 18104 KB Output is correct
2 Correct 57 ms 18360 KB Output is correct
3 Correct 43 ms 17360 KB Output is correct
4 Correct 42 ms 17496 KB Output is correct
5 Correct 39 ms 16092 KB Output is correct
6 Correct 9 ms 12632 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 5279 ms 92676 KB Output is correct
2 Correct 5254 ms 92832 KB Output is correct
3 Correct 37 ms 17660 KB Output is correct
4 Correct 5105 ms 93260 KB Output is correct
5 Correct 4891 ms 83532 KB Output is correct
6 Correct 4821 ms 83000 KB Output is correct
7 Correct 4929 ms 92196 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 6236 ms 90508 KB Output is correct
2 Correct 6341 ms 87852 KB Output is correct
3 Correct 6 ms 12124 KB Output is correct
4 Correct 4878 ms 77020 KB Output is correct
5 Correct 1974 ms 74240 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 6236 ms 90508 KB Output is correct
2 Correct 6341 ms 87852 KB Output is correct
3 Correct 6 ms 12124 KB Output is correct
4 Correct 4878 ms 77020 KB Output is correct
5 Correct 1974 ms 74240 KB Output is correct
6 Correct 6205 ms 84488 KB Output is correct
7 Correct 6268 ms 85060 KB Output is correct
8 Correct 5 ms 12120 KB Output is correct
9 Correct 6 ms 12124 KB Output is correct
10 Correct 6093 ms 87160 KB Output is correct
11 Correct 4862 ms 82316 KB Output is correct
12 Correct 1873 ms 64132 KB Output is correct

Subtask #5
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 57 ms 18104 KB Output is correct
2 Correct 57 ms 18360 KB Output is correct
3 Correct 43 ms 17360 KB Output is correct
4 Correct 42 ms 17496 KB Output is correct
5 Correct 39 ms 16092 KB Output is correct
6 Correct 9 ms 12632 KB Output is correct
7 Correct 2051 ms 46264 KB Output is correct
8 Correct 2139 ms 46248 KB Output is correct
9 Correct 43 ms 17520 KB Output is correct
10 Correct 1870 ms 43648 KB Output is correct
11 Correct 1948 ms 51800 KB Output is correct
12 Correct 670 ms 43348 KB Output is correct
13 Correct 649 ms 41372 KB Output is correct

Subtask #6
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 57 ms 18104 KB Output is correct
2 Correct 57 ms 18360 KB Output is correct
3 Correct 43 ms 17360 KB Output is correct
4 Correct 42 ms 17496 KB Output is correct
5 Correct 39 ms 16092 KB Output is correct
6 Correct 9 ms 12632 KB Output is correct
7 Correct 5279 ms 92676 KB Output is correct
8 Correct 5254 ms 92832 KB Output is correct
9 Correct 37 ms 17660 KB Output is correct
10 Correct 5105 ms 93260 KB Output is correct
11 Correct 4891 ms 83532 KB Output is correct
12 Correct 4821 ms 83000 KB Output is correct
13 Correct 4929 ms 92196 KB Output is correct
14 Correct 6236 ms 90508 KB Output is correct
15 Correct 6341 ms 87852 KB Output is correct
16 Correct 6 ms 12124 KB Output is correct
17 Correct 4878 ms 77020 KB Output is correct
18 Correct 1974 ms 74240 KB Output is correct
19 Correct 6205 ms 84488 KB Output is correct
20 Correct 6268 ms 85060 KB Output is correct
21 Correct 5 ms 12120 KB Output is correct
22 Correct 6 ms 12124 KB Output is correct
23 Correct 6093 ms 87160 KB Output is correct
24 Correct 4862 ms 82316 KB Output is correct
25 Correct 1873 ms 64132 KB Output is correct
26 Correct 2051 ms 46264 KB Output is correct
27 Correct 2139 ms 46248 KB Output is correct
28 Correct 43 ms 17520 KB Output is correct
29 Correct 1870 ms 43648 KB Output is correct
30 Correct 1948 ms 51800 KB Output is correct
31 Correct 670 ms 43348 KB Output is correct
32 Correct 649 ms 41372 KB Output is correct
33 Correct 6596 ms 89008 KB Output is correct
34 Correct 6601 ms 88916 KB Output is correct
35 Correct 5805 ms 84296 KB Output is correct
36 Correct 1717 ms 102768 KB Output is correct
37 Correct 1809 ms 84752 KB Output is correct
38 Correct 1905 ms 85148 KB Output is correct