Submission #1004912

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
1004912	2024-06-22T03:08:02 Z	pavement	Flooding Wall (BOI24_wall)	C++17	25 / 100	5000 ms	22024 KB

Main

#include <bits/stdc++.h>
using namespace std;

using ll = long long;

#define pb push_back

const int MOD = (int)1e9 + 7, INV_2 = (MOD + 1) / 2;
int N, glob, a[500005], b[500005];
vector<int> disc_vec;

int main() {
	ios::sync_with_stdio(0);
	cin.tie(0);
	cin >> N;
	for (int i = 1; i <= N; i++) {
		cin >> a[i];
	}
	for (int i = 1; i <= N; i++) {
		cin >> b[i];
		if (a[i] > b[i]) {
			swap(a[i], b[i]);
		}
		for (int delta = -1; delta <= 1; delta++) {
			disc_vec.pb(a[i] + delta);
			disc_vec.pb(b[i] + delta);
		}
	}
	sort(disc_vec.begin(), disc_vec.end());
	disc_vec.erase(unique(disc_vec.begin(), disc_vec.end()), disc_vec.end());
	for (int i = 1; i <= N; i++) {
		for (int h : {a[i], b[i]}) {
			int expected = 0;
			vector<int> probs = {1}, vals = {h};
			for (auto it = upper_bound(disc_vec.begin(), disc_vec.end(), h); it != disc_vec.end(); ++it) {
				int v = *it;
				int lft_prob = 1, rig_prob = 1;
				for (int j = 1; j < i; j++) {
					int cur_prob = INV_2;
					if (a[j] >= v) {
						cur_prob = 0;
					} else if (b[j] < v) {
						cur_prob = 1;
					}
					lft_prob = ((ll)lft_prob * cur_prob) % MOD;
				}
				lft_prob = (1 - lft_prob + MOD) % MOD;
				for (int j = i + 1; j <= N; j++) {
					int cur_prob = INV_2;
					if (a[j] >= v) {
						cur_prob = 0;
					} else if (b[j] < v) {
						cur_prob = 1;
					}
					rig_prob = ((ll)rig_prob * cur_prob) % MOD;
				}
				rig_prob = (1 - rig_prob + MOD) % MOD;
				int p = (ll)lft_prob * rig_prob % MOD;
				probs.pb(p);
				vals.pb(v);
			}
			for (int idx = 0; idx + 1 < (int)probs.size(); idx++) {
				int tmp = (probs[idx] - probs[idx + 1] + MOD) % MOD;
				expected = (expected + (ll)vals[idx] * tmp % MOD) % MOD;
			}
			expected = (expected - h + MOD) % MOD;
			glob = (glob + expected) % MOD;
		}
	}
	for (int rep = 0; rep < N - 1; rep++) {
		glob = (glob * 2) % MOD;
	}
	cout << glob << '\n';
}

Subtask #1
8.0 / 8.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	348 KB	Output is correct
2	Correct	0 ms	464 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	348 KB	Output is correct
6	Correct	1 ms	344 KB	Output is correct
7	Correct	0 ms	344 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	604 KB	Output is correct
12	Correct	0 ms	348 KB	Output is correct
13	Correct	0 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	460 KB	Output is correct
19	Correct	0 ms	348 KB	Output is correct
20	Correct	0 ms	348 KB	Output is correct
21	Correct	1 ms	600 KB	Output is correct
22	Correct	0 ms	344 KB	Output is correct

Subtask #2
17.0 / 17.0

#	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
7	Correct	0 ms	348 KB	Output is correct
8	Correct	0 ms	348 KB	Output is correct
9	Correct	0 ms	344 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	0 ms	348 KB	Output is correct
14	Correct	0 ms	348 KB	Output is correct
15	Correct	11 ms	600 KB	Output is correct
16	Correct	11 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	1 ms	348 KB	Output is correct
21	Correct	1 ms	348 KB	Output is correct
22	Correct	0 ms	348 KB	Output is correct
23	Correct	1 ms	348 KB	Output is correct
24	Correct	1 ms	484 KB	Output is correct
25	Correct	8 ms	348 KB	Output is correct
26	Correct	8 ms	480 KB	Output is correct

Subtask #3
0 / 19.0

#	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
7	Correct	0 ms	348 KB	Output is correct
8	Correct	0 ms	348 KB	Output is correct
9	Correct	0 ms	344 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	0 ms	348 KB	Output is correct
14	Correct	0 ms	348 KB	Output is correct
15	Correct	11 ms	600 KB	Output is correct
16	Correct	11 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	1 ms	348 KB	Output is correct
21	Correct	1 ms	348 KB	Output is correct
22	Correct	0 ms	348 KB	Output is correct
23	Correct	1 ms	348 KB	Output is correct
24	Correct	1 ms	484 KB	Output is correct
25	Correct	8 ms	348 KB	Output is correct
26	Correct	8 ms	480 KB	Output is correct
27	Execution timed out	5042 ms	988 KB	Time limit exceeded
28	Halted	0 ms	0 KB	-

Subtask #4
0 / 14.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	348 KB	Output is correct
2	Correct	0 ms	464 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	348 KB	Output is correct
6	Correct	1 ms	344 KB	Output is correct
7	Correct	0 ms	344 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	604 KB	Output is correct
12	Correct	0 ms	348 KB	Output is correct
13	Correct	0 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	460 KB	Output is correct
19	Correct	0 ms	348 KB	Output is correct
20	Correct	0 ms	348 KB	Output is correct
21	Correct	1 ms	600 KB	Output is correct
22	Correct	0 ms	344 KB	Output is correct
23	Correct	1 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	344 KB	Output is correct
32	Correct	0 ms	348 KB	Output is correct
33	Correct	0 ms	348 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	11 ms	600 KB	Output is correct
38	Correct	11 ms	348 KB	Output is correct
39	Correct	0 ms	348 KB	Output is correct
40	Correct	0 ms	348 KB	Output is correct
41	Correct	1 ms	348 KB	Output is correct
42	Correct	1 ms	348 KB	Output is correct
43	Correct	1 ms	348 KB	Output is correct
44	Correct	0 ms	348 KB	Output is correct
45	Correct	1 ms	348 KB	Output is correct
46	Correct	1 ms	484 KB	Output is correct
47	Correct	8 ms	348 KB	Output is correct
48	Correct	8 ms	480 KB	Output is correct
49	Execution timed out	5042 ms	988 KB	Time limit exceeded
50	Halted	0 ms	0 KB	-

Subtask #5
0 / 12.0

#	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	604 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	348 KB	Output is correct
10	Correct	991 ms	860 KB	Output is correct
11	Correct	957 ms	856 KB	Output is correct
12	Correct	966 ms	860 KB	Output is correct
13	Correct	985 ms	856 KB	Output is correct
14	Execution timed out	5049 ms	22024 KB	Time limit exceeded
15	Halted	0 ms	0 KB	-

Subtask #6
0 / 30.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	348 KB	Output is correct
2	Correct	0 ms	464 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	348 KB	Output is correct
6	Correct	1 ms	344 KB	Output is correct
7	Correct	0 ms	344 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	604 KB	Output is correct
12	Correct	0 ms	348 KB	Output is correct
13	Correct	0 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	460 KB	Output is correct
19	Correct	0 ms	348 KB	Output is correct
20	Correct	0 ms	348 KB	Output is correct
21	Correct	1 ms	600 KB	Output is correct
22	Correct	0 ms	344 KB	Output is correct
23	Correct	1 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	344 KB	Output is correct
32	Correct	0 ms	348 KB	Output is correct
33	Correct	0 ms	348 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	11 ms	600 KB	Output is correct
38	Correct	11 ms	348 KB	Output is correct
39	Correct	0 ms	348 KB	Output is correct
40	Correct	0 ms	348 KB	Output is correct
41	Correct	1 ms	348 KB	Output is correct
42	Correct	1 ms	348 KB	Output is correct
43	Correct	1 ms	348 KB	Output is correct
44	Correct	0 ms	348 KB	Output is correct
45	Correct	1 ms	348 KB	Output is correct
46	Correct	1 ms	484 KB	Output is correct
47	Correct	8 ms	348 KB	Output is correct
48	Correct	8 ms	480 KB	Output is correct
49	Execution timed out	5042 ms	988 KB	Time limit exceeded
50	Halted	0 ms	0 KB	-

Submission #1004912

Compilation message

Subtask #1 8.0 / 8.0

Subtask #2 17.0 / 17.0

Subtask #3 0 / 19.0

Subtask #4 0 / 14.0

Subtask #5 0 / 12.0

Subtask #6 0 / 30.0

Subtask #1
8.0 / 8.0

Subtask #2
17.0 / 17.0

Subtask #3
0 / 19.0

Subtask #4
0 / 14.0

Subtask #5
0 / 12.0

Subtask #6
0 / 30.0