Submission #1043037

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
1043037	2024-08-03T18:34:11 Z	Aldas25	Safety (NOI18_safety)	C++14	100 / 100	56 ms	7168 KB

safety

#include <bits/stdc++.h>

using namespace std;

typedef long long ll;

const int MAXN = 2e5 + 100;

int n;
ll h;
priority_queue<ll> pqLeft;
priority_queue<ll, vector<ll>, greater<ll>> pqRight;
ll ans = 0;
ll a[MAXN];

int main() {
	cin >> n >> h;

	for (int i = 0; i < n; i++) cin >> a[i];

	pqLeft.push(a[0]); pqRight.push(a[0]);

	for (int i = 1; i < n; i++) {
		ll range = ((ll)i) * h; // mimic shifting left side by -h, and right side by h

		// minimum area in graph is interval [pqLeft.top() - range; pqRight.top() + range]
		ll minFrom = pqLeft.top() - range;
		ll minTo = pqRight.top() + range;

		if (a[i] < minFrom) {
			pqLeft.push(a[i] + range);
			pqLeft.push(a[i] + range);
			ans += minFrom - a[i];
			
			pqRight.push(pqLeft.top() - 2*range);
			pqLeft.pop();
		} else if (a[i] > minTo) {
			pqRight.push(a[i] - range);
			pqRight.push(a[i] - range);
			ans += a[i] - minTo;

			pqLeft.push(pqRight.top() + 2*range);
			pqRight.pop();
		} else {
			pqLeft.push(a[i] + range);
			pqRight.push(a[i] - range);
		}
	}

	cout << ans << "\n";

	return 0;
}

Subtask #1
3.0 / 3.0

#	Verdict	Memory	Grader output
1	Correct	348 KB	Output is correct
2	Correct	348 KB	Output is correct
3	Correct	348 KB	Output is correct
4	Correct	348 KB	Output is correct
5	Correct	348 KB	Output is correct
6	Correct	348 KB	Output is correct
7	Correct	348 KB	Output is correct

Subtask #2
4.0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	348 KB	Output is correct
2	Correct	0 ms	440 KB	Output is correct
3	Correct	1 ms	348 KB	Output is correct
4	Correct	0 ms	348 KB	Output is correct
5	Correct	0 ms	348 KB	Output is correct

Subtask #3
9.0 / 9.0

#	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	0 ms	348 KB	Output is correct
6	Correct	0 ms	348 KB	Output is correct

Subtask #4
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	37 ms	5776 KB	Output is correct
2	Correct	54 ms	6888 KB	Output is correct
3	Correct	56 ms	6888 KB	Output is correct

Subtask #5
6.0 / 6.0

#	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	348 KB	Output is correct
4	Correct	0 ms	348 KB	Output is correct
5	Correct	0 ms	348 KB	Output is correct
6	Correct	0 ms	348 KB	Output is correct
7	Correct	0 ms	348 KB	Output is correct
8	Correct	1 ms	348 KB	Output is correct
9	Correct	0 ms	440 KB	Output is correct
10	Correct	1 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	0 ms	348 KB	Output is correct
15	Correct	0 ms	348 KB	Output is correct
16	Correct	0 ms	348 KB	Output is correct
17	Correct	0 ms	348 KB	Output is correct
18	Correct	0 ms	348 KB	Output is correct
19	Correct	0 ms	348 KB	Output is correct

Subtask #6
11.0 / 11.0

#	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	348 KB	Output is correct
4	Correct	0 ms	348 KB	Output is correct
5	Correct	0 ms	348 KB	Output is correct
6	Correct	0 ms	348 KB	Output is correct
7	Correct	0 ms	348 KB	Output is correct
8	Correct	1 ms	348 KB	Output is correct
9	Correct	0 ms	440 KB	Output is correct
10	Correct	1 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	0 ms	348 KB	Output is correct
15	Correct	0 ms	348 KB	Output is correct
16	Correct	0 ms	348 KB	Output is correct
17	Correct	0 ms	348 KB	Output is correct
18	Correct	0 ms	348 KB	Output is correct
19	Correct	0 ms	348 KB	Output is correct
20	Correct	0 ms	348 KB	Output is correct
21	Correct	0 ms	348 KB	Output is correct
22	Correct	0 ms	348 KB	Output is correct
23	Correct	0 ms	348 KB	Output is correct
24	Correct	1 ms	344 KB	Output is correct
25	Correct	0 ms	348 KB	Output is correct
26	Correct	0 ms	348 KB	Output is correct
27	Correct	0 ms	348 KB	Output is correct

Subtask #7
11.0 / 11.0

#	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	348 KB	Output is correct
4	Correct	0 ms	348 KB	Output is correct
5	Correct	0 ms	348 KB	Output is correct
6	Correct	0 ms	348 KB	Output is correct
7	Correct	0 ms	348 KB	Output is correct
8	Correct	1 ms	348 KB	Output is correct
9	Correct	0 ms	440 KB	Output is correct
10	Correct	1 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	0 ms	348 KB	Output is correct
15	Correct	0 ms	348 KB	Output is correct
16	Correct	0 ms	348 KB	Output is correct
17	Correct	0 ms	348 KB	Output is correct
18	Correct	0 ms	348 KB	Output is correct
19	Correct	0 ms	348 KB	Output is correct
20	Correct	0 ms	348 KB	Output is correct
21	Correct	0 ms	348 KB	Output is correct
22	Correct	0 ms	348 KB	Output is correct
23	Correct	0 ms	348 KB	Output is correct
24	Correct	1 ms	344 KB	Output is correct
25	Correct	0 ms	348 KB	Output is correct
26	Correct	0 ms	348 KB	Output is correct
27	Correct	0 ms	348 KB	Output is correct
28	Correct	1 ms	604 KB	Output is correct
29	Correct	1 ms	452 KB	Output is correct
30	Correct	1 ms	604 KB	Output is correct
31	Correct	1 ms	488 KB	Output is correct
32	Correct	1 ms	604 KB	Output is correct
33	Correct	1 ms	604 KB	Output is correct
34	Correct	2 ms	600 KB	Output is correct

Subtask #8
22.0 / 22.0

#	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	348 KB	Output is correct
4	Correct	0 ms	348 KB	Output is correct
5	Correct	0 ms	348 KB	Output is correct
6	Correct	0 ms	348 KB	Output is correct
7	Correct	0 ms	348 KB	Output is correct
8	Correct	1 ms	348 KB	Output is correct
9	Correct	0 ms	440 KB	Output is correct
10	Correct	1 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	0 ms	348 KB	Output is correct
15	Correct	0 ms	348 KB	Output is correct
16	Correct	0 ms	348 KB	Output is correct
17	Correct	0 ms	348 KB	Output is correct
18	Correct	0 ms	348 KB	Output is correct
19	Correct	1 ms	348 KB	Output is correct
20	Correct	0 ms	348 KB	Output is correct
21	Correct	0 ms	348 KB	Output is correct
22	Correct	0 ms	348 KB	Output is correct
23	Correct	0 ms	348 KB	Output is correct
24	Correct	0 ms	348 KB	Output is correct
25	Correct	0 ms	348 KB	Output is correct
26	Correct	0 ms	348 KB	Output is correct
27	Correct	0 ms	348 KB	Output is correct
28	Correct	0 ms	348 KB	Output is correct
29	Correct	0 ms	348 KB	Output is correct
30	Correct	1 ms	344 KB	Output is correct
31	Correct	0 ms	348 KB	Output is correct
32	Correct	0 ms	348 KB	Output is correct
33	Correct	0 ms	348 KB	Output is correct
34	Correct	1 ms	604 KB	Output is correct
35	Correct	1 ms	452 KB	Output is correct
36	Correct	1 ms	604 KB	Output is correct
37	Correct	1 ms	488 KB	Output is correct
38	Correct	1 ms	604 KB	Output is correct
39	Correct	1 ms	604 KB	Output is correct
40	Correct	2 ms	600 KB	Output is correct
41	Correct	2 ms	604 KB	Output is correct
42	Correct	2 ms	484 KB	Output is correct
43	Correct	1 ms	520 KB	Output is correct
44	Correct	2 ms	604 KB	Output is correct
45	Correct	2 ms	500 KB	Output is correct
46	Correct	1 ms	604 KB	Output is correct

Subtask #9
29.0 / 29.0

#	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	348 KB	Output is correct
4	Correct	0 ms	348 KB	Output is correct
5	Correct	0 ms	348 KB	Output is correct
6	Correct	0 ms	348 KB	Output is correct
7	Correct	0 ms	348 KB	Output is correct
8	Correct	1 ms	348 KB	Output is correct
9	Correct	0 ms	440 KB	Output is correct
10	Correct	1 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	0 ms	348 KB	Output is correct
15	Correct	0 ms	348 KB	Output is correct
16	Correct	0 ms	348 KB	Output is correct
17	Correct	0 ms	348 KB	Output is correct
18	Correct	0 ms	348 KB	Output is correct
19	Correct	37 ms	5776 KB	Output is correct
20	Correct	54 ms	6888 KB	Output is correct
21	Correct	56 ms	6888 KB	Output is correct
22	Correct	1 ms	348 KB	Output is correct
23	Correct	0 ms	348 KB	Output is correct
24	Correct	0 ms	348 KB	Output is correct
25	Correct	0 ms	348 KB	Output is correct
26	Correct	0 ms	348 KB	Output is correct
27	Correct	0 ms	348 KB	Output is correct
28	Correct	0 ms	348 KB	Output is correct
29	Correct	0 ms	348 KB	Output is correct
30	Correct	0 ms	348 KB	Output is correct
31	Correct	0 ms	348 KB	Output is correct
32	Correct	0 ms	348 KB	Output is correct
33	Correct	1 ms	344 KB	Output is correct
34	Correct	0 ms	348 KB	Output is correct
35	Correct	0 ms	348 KB	Output is correct
36	Correct	0 ms	348 KB	Output is correct
37	Correct	1 ms	604 KB	Output is correct
38	Correct	1 ms	452 KB	Output is correct
39	Correct	1 ms	604 KB	Output is correct
40	Correct	1 ms	488 KB	Output is correct
41	Correct	1 ms	604 KB	Output is correct
42	Correct	1 ms	604 KB	Output is correct
43	Correct	2 ms	600 KB	Output is correct
44	Correct	2 ms	604 KB	Output is correct
45	Correct	2 ms	484 KB	Output is correct
46	Correct	1 ms	520 KB	Output is correct
47	Correct	2 ms	604 KB	Output is correct
48	Correct	2 ms	500 KB	Output is correct
49	Correct	1 ms	604 KB	Output is correct
50	Correct	56 ms	7168 KB	Output is correct
51	Correct	47 ms	6396 KB	Output is correct
52	Correct	39 ms	6432 KB	Output is correct
53	Correct	44 ms	6848 KB	Output is correct
54	Correct	55 ms	6764 KB	Output is correct
55	Correct	50 ms	6588 KB	Output is correct
56	Correct	43 ms	6808 KB	Output is correct
57	Correct	40 ms	6592 KB	Output is correct
58	Correct	31 ms	5632 KB	Output is correct
59	Correct	46 ms	6768 KB	Output is correct

Submission #1043037

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