Submission #972984

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
972984	2024-05-01T11:24:40 Z	yeediot	Palembang Bridges (APIO15_bridge)	C++17	100 / 100	85 ms	5584 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	1 ms	500 KB	Output is correct
2	Correct	0 ms	348 KB	Output is correct
3	Correct	0 ms	348 KB	Output is correct
4	Correct	1 ms	348 KB	Output is correct
5	Correct	1 ms	504 KB	Output is correct
6	Correct	1 ms	348 KB	Output is correct
7	Correct	1 ms	348 KB	Output is correct
8	Correct	1 ms	344 KB	Output is correct
9	Correct	1 ms	348 KB	Output is correct
10	Correct	1 ms	348 KB	Output is correct
11	Correct	1 ms	348 KB	Output is correct

Subtask #2
14.0 / 14.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	348 KB	Output is correct
2	Correct	0 ms	348 KB	Output is correct
3	Correct	1 ms	348 KB	Output is correct
4	Correct	1 ms	348 KB	Output is correct
5	Correct	1 ms	348 KB	Output is correct
6	Correct	1 ms	348 KB	Output is correct
7	Correct	1 ms	344 KB	Output is correct
8	Correct	1 ms	344 KB	Output is correct
9	Correct	1 ms	348 KB	Output is correct
10	Correct	1 ms	348 KB	Output is correct
11	Correct	1 ms	348 KB	Output is correct
12	Correct	21 ms	3288 KB	Output is correct
13	Correct	47 ms	3208 KB	Output is correct
14	Correct	34 ms	3408 KB	Output is correct
15	Correct	30 ms	2268 KB	Output is correct
16	Correct	23 ms	3196 KB	Output is correct
17	Correct	33 ms	3020 KB	Output is correct
18	Correct	31 ms	3688 KB	Output is correct
19	Correct	36 ms	3288 KB	Output is correct
20	Correct	27 ms	3616 KB	Output is correct
21	Correct	41 ms	3188 KB	Output is correct

Subtask #3
9.0 / 9.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	348 KB	Output is correct
2	Correct	0 ms	348 KB	Output is correct
3	Correct	0 ms	344 KB	Output is correct
4	Correct	0 ms	348 KB	Output is correct
5	Correct	0 ms	464 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	348 KB	Output is correct
11	Correct	0 ms	348 KB	Output is correct
12	Correct	1 ms	348 KB	Output is correct

Subtask #4
32.0 / 32.0

#	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	1 ms	344 KB	Output is correct
6	Correct	0 ms	344 KB	Output is correct
7	Correct	0 ms	348 KB	Output is correct
8	Correct	0 ms	348 KB	Output is correct
9	Correct	1 ms	344 KB	Output is correct
10	Correct	0 ms	348 KB	Output is correct
11	Correct	0 ms	468 KB	Output is correct
12	Correct	1 ms	348 KB	Output is correct
13	Correct	1 ms	344 KB	Output is correct
14	Correct	1 ms	348 KB	Output is correct
15	Correct	1 ms	348 KB	Output is correct
16	Correct	0 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	1 ms	348 KB	Output is correct
20	Correct	1 ms	348 KB	Output is correct
21	Correct	1 ms	344 KB	Output is correct
22	Correct	1 ms	476 KB	Output is correct
23	Correct	1 ms	344 KB	Output is correct
24	Correct	1 ms	348 KB	Output is correct

Subtask #5
37.0 / 37.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	348 KB	Output is correct
2	Correct	0 ms	348 KB	Output is correct
3	Correct	1 ms	348 KB	Output is correct
4	Correct	1 ms	348 KB	Output is correct
5	Correct	1 ms	348 KB	Output is correct
6	Correct	0 ms	344 KB	Output is correct
7	Correct	1 ms	604 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	348 KB	Output is correct
11	Correct	0 ms	348 KB	Output is correct
12	Correct	0 ms	348 KB	Output is correct
13	Correct	1 ms	348 KB	Output is correct
14	Correct	1 ms	348 KB	Output is correct
15	Correct	1 ms	348 KB	Output is correct
16	Correct	0 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	1 ms	348 KB	Output is correct
20	Correct	1 ms	500 KB	Output is correct
21	Correct	1 ms	348 KB	Output is correct
22	Correct	1 ms	348 KB	Output is correct
23	Correct	1 ms	348 KB	Output is correct
24	Correct	1 ms	348 KB	Output is correct
25	Correct	31 ms	3836 KB	Output is correct
26	Correct	54 ms	4560 KB	Output is correct
27	Correct	69 ms	4908 KB	Output is correct
28	Correct	85 ms	5584 KB	Output is correct
29	Correct	72 ms	5324 KB	Output is correct
30	Correct	37 ms	2780 KB	Output is correct
31	Correct	31 ms	4560 KB	Output is correct
32	Correct	53 ms	5072 KB	Output is correct
33	Correct	56 ms	4780 KB	Output is correct
34	Correct	58 ms	5068 KB	Output is correct
35	Correct	37 ms	5068 KB	Output is correct
36	Correct	56 ms	5072 KB	Output is correct
37	Correct	23 ms	3792 KB	Output is correct

Submission #972984

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