Submission #791073

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
791073	2023-07-23T11:44:14 Z	MarwenElarbi	Palembang Bridges (APIO15_bridge)	C++17	100 / 100	81 ms	5704 KB

bridge

#include <bits/stdc++.h>
#define FOR(i, x, y) for (int i = x; i < y; i++)
typedef long long ll;
using namespace std;

bool cmp(pair<int, int> a, pair<int, int> b) {
	return a.first + a.second < b.first + b.second;
}

priority_queue<int> lpq;
priority_queue<int, vector<int>, greater<int>> rpq;
ll lsum, rsum;

void insert(int x) {
	int median = (lpq.size() ? lpq.top() : 1000000001);
	if (x <= median) {
		lpq.push(x);
		lsum += x;
	} else {
		rpq.push(x);
		rsum += x;
	}

	if (rpq.size() + 1 < lpq.size()) {
		int nxt = lpq.top();
		lpq.pop();
		rpq.push(nxt);
		lsum -= nxt;
		rsum += nxt;
	} else if (lpq.size() < rpq.size()) {
		int nxt = rpq.top();
		rpq.pop();
		lpq.push(nxt);
		rsum -= nxt;
		lsum += nxt;
	}
}

ll pref[100001];

int main() {
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	int k, n;
	ll same_side = 0;
	vector<pair<int, int>> v = {{0, 0}};
	cin >> k >> n;
	FOR(i, 0, n) {
		char a, b;
		int x, y;
		cin >> a >> x >> b >> y;
		if (a == b) same_side += abs(x - y);
		else v.push_back({x, y});
	}
	sort(v.begin(), v.end(), cmp);
	n = v.size() - 1;
	same_side += n;

	lsum = rsum = 0;
	FOR(i, 1, n + 1) {
		insert(v[i].first);
		insert(v[i].second);
		pref[i] = rsum - lsum;
	}

	ll ans = pref[n];

	if (k == 2) {
		while (lpq.size()) lpq.pop();
		while (rpq.size()) rpq.pop();
		lsum = rsum = 0;

		for (int i = n; i; i--) {
			insert(v[i].first);
			insert(v[i].second);
			ans = min(ans, rsum - lsum + pref[i - 1]);
		}
	}
	cout << same_side + ans;
	return 0;
}

Subtask #1
8.0 / 8.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	212 KB	Output is correct
2	Correct	1 ms	212 KB	Output is correct
3	Correct	1 ms	340 KB	Output is correct
4	Correct	1 ms	332 KB	Output is correct
5	Correct	1 ms	340 KB	Output is correct
6	Correct	1 ms	340 KB	Output is correct
7	Correct	1 ms	340 KB	Output is correct
8	Correct	1 ms	340 KB	Output is correct
9	Correct	1 ms	340 KB	Output is correct
10	Correct	1 ms	336 KB	Output is correct
11	Correct	1 ms	340 KB	Output is correct

Subtask #2
14.0 / 14.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	212 KB	Output is correct
2	Correct	1 ms	212 KB	Output is correct
3	Correct	1 ms	340 KB	Output is correct
4	Correct	1 ms	340 KB	Output is correct
5	Correct	1 ms	340 KB	Output is correct
6	Correct	1 ms	340 KB	Output is correct
7	Correct	1 ms	340 KB	Output is correct
8	Correct	1 ms	340 KB	Output is correct
9	Correct	1 ms	340 KB	Output is correct
10	Correct	1 ms	340 KB	Output is correct
11	Correct	1 ms	340 KB	Output is correct
12	Correct	21 ms	3064 KB	Output is correct
13	Correct	50 ms	3304 KB	Output is correct
14	Correct	33 ms	3396 KB	Output is correct
15	Correct	24 ms	2120 KB	Output is correct
16	Correct	23 ms	3280 KB	Output is correct
17	Correct	32 ms	3040 KB	Output is correct
18	Correct	31 ms	3524 KB	Output is correct
19	Correct	36 ms	3136 KB	Output is correct
20	Correct	27 ms	3424 KB	Output is correct
21	Correct	35 ms	3152 KB	Output is correct

Subtask #3
9.0 / 9.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	212 KB	Output is correct
2	Correct	0 ms	212 KB	Output is correct
3	Correct	0 ms	212 KB	Output is correct
4	Correct	1 ms	340 KB	Output is correct
5	Correct	1 ms	212 KB	Output is correct
6	Correct	1 ms	332 KB	Output is correct
7	Correct	1 ms	212 KB	Output is correct
8	Correct	1 ms	340 KB	Output is correct
9	Correct	1 ms	212 KB	Output is correct
10	Correct	0 ms	340 KB	Output is correct
11	Correct	1 ms	340 KB	Output is correct
12	Correct	1 ms	212 KB	Output is correct

Subtask #4
32.0 / 32.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	212 KB	Output is correct
2	Correct	0 ms	212 KB	Output is correct
3	Correct	0 ms	212 KB	Output is correct
4	Correct	1 ms	340 KB	Output is correct
5	Correct	1 ms	212 KB	Output is correct
6	Correct	0 ms	332 KB	Output is correct
7	Correct	1 ms	212 KB	Output is correct
8	Correct	1 ms	340 KB	Output is correct
9	Correct	1 ms	340 KB	Output is correct
10	Correct	1 ms	340 KB	Output is correct
11	Correct	0 ms	212 KB	Output is correct
12	Correct	1 ms	212 KB	Output is correct
13	Correct	1 ms	340 KB	Output is correct
14	Correct	1 ms	340 KB	Output is correct
15	Correct	1 ms	340 KB	Output is correct
16	Correct	0 ms	340 KB	Output is correct
17	Correct	1 ms	340 KB	Output is correct
18	Correct	1 ms	340 KB	Output is correct
19	Correct	1 ms	340 KB	Output is correct
20	Correct	1 ms	364 KB	Output is correct
21	Correct	1 ms	340 KB	Output is correct
22	Correct	1 ms	340 KB	Output is correct
23	Correct	1 ms	344 KB	Output is correct
24	Correct	1 ms	340 KB	Output is correct

Subtask #5
37.0 / 37.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	212 KB	Output is correct
2	Correct	0 ms	212 KB	Output is correct
3	Correct	0 ms	212 KB	Output is correct
4	Correct	1 ms	340 KB	Output is correct
5	Correct	1 ms	212 KB	Output is correct
6	Correct	0 ms	212 KB	Output is correct
7	Correct	1 ms	328 KB	Output is correct
8	Correct	0 ms	340 KB	Output is correct
9	Correct	0 ms	212 KB	Output is correct
10	Correct	1 ms	340 KB	Output is correct
11	Correct	1 ms	212 KB	Output is correct
12	Correct	1 ms	212 KB	Output is correct
13	Correct	1 ms	332 KB	Output is correct
14	Correct	1 ms	340 KB	Output is correct
15	Correct	1 ms	364 KB	Output is correct
16	Correct	1 ms	340 KB	Output is correct
17	Correct	1 ms	340 KB	Output is correct
18	Correct	1 ms	340 KB	Output is correct
19	Correct	1 ms	332 KB	Output is correct
20	Correct	1 ms	340 KB	Output is correct
21	Correct	1 ms	360 KB	Output is correct
22	Correct	1 ms	340 KB	Output is correct
23	Correct	1 ms	340 KB	Output is correct
24	Correct	1 ms	340 KB	Output is correct
25	Correct	29 ms	3824 KB	Output is correct
26	Correct	56 ms	4668 KB	Output is correct
27	Correct	81 ms	5032 KB	Output is correct
28	Correct	74 ms	5704 KB	Output is correct
29	Correct	72 ms	5456 KB	Output is correct
30	Correct	37 ms	3020 KB	Output is correct
31	Correct	34 ms	4752 KB	Output is correct
32	Correct	55 ms	5448 KB	Output is correct
33	Correct	55 ms	5096 KB	Output is correct
34	Correct	61 ms	5404 KB	Output is correct
35	Correct	48 ms	5400 KB	Output is correct
36	Correct	59 ms	5192 KB	Output is correct
37	Correct	23 ms	3920 KB	Output is correct

Submission #791073

Compilation message

Subtask #1 8.0 / 8.0

Subtask #2 14.0 / 14.0

Subtask #3 9.0 / 9.0

Subtask #4 32.0 / 32.0

Subtask #5 37.0 / 37.0

Subtask #1
8.0 / 8.0

Subtask #2
14.0 / 14.0

Subtask #3
9.0 / 9.0

Subtask #4
32.0 / 32.0

Subtask #5
37.0 / 37.0