Submission #1004911

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
1004911	2024-06-22T03:03:50 Z	pavement	Flooding Wall (BOI24_wall)	C++17	17 / 100	5000 ms	600 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];

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 i = 1; i <= N; i++) {
		for (int h : {a[i], b[i]}) {
			int expected = 0;
			vector<int> probs = {1};
			for (int v = h + 1; v <= 1001; v++) {
				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);
			}
			for (int v = 0; v + 1 < (int)probs.size(); v++) {
				int tmp = (probs[v] - probs[v + 1] + MOD) % MOD;
				expected = (expected + (ll)(v + h) * 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

0 / 8.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	344 KB	Output is correct
2	Correct	1 ms	344 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	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	348 KB	Output is correct
10	Correct	0 ms	348 KB	Output is correct
11	Incorrect	0 ms	348 KB	Output isn't correct
12	Halted	0 ms	0 KB	-

Subtask #2

17.0 / 17.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	348 KB	Output is correct
2	Correct	1 ms	480 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	348 KB	Output is correct
10	Correct	1 ms	348 KB	Output is correct
11	Correct	3 ms	348 KB	Output is correct
12	Correct	1 ms	348 KB	Output is correct
13	Correct	2 ms	344 KB	Output is correct
14	Correct	1 ms	348 KB	Output is correct
15	Correct	23 ms	456 KB	Output is correct
16	Correct	22 ms	348 KB	Output is correct
17	Correct	57 ms	348 KB	Output is correct
18	Correct	54 ms	348 KB	Output is correct
19	Correct	58 ms	348 KB	Output is correct
20	Correct	1 ms	344 KB	Output is correct
21	Correct	55 ms	456 KB	Output is correct
22	Correct	51 ms	348 KB	Output is correct
23	Correct	1 ms	344 KB	Output is correct
24	Correct	46 ms	348 KB	Output is correct
25	Correct	49 ms	348 KB	Output is correct
26	Correct	46 ms	348 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	1 ms	480 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	348 KB	Output is correct
10	Correct	1 ms	348 KB	Output is correct
11	Correct	3 ms	348 KB	Output is correct
12	Correct	1 ms	348 KB	Output is correct
13	Correct	2 ms	344 KB	Output is correct
14	Correct	1 ms	348 KB	Output is correct
15	Correct	23 ms	456 KB	Output is correct
16	Correct	22 ms	348 KB	Output is correct
17	Correct	57 ms	348 KB	Output is correct
18	Correct	54 ms	348 KB	Output is correct
19	Correct	58 ms	348 KB	Output is correct
20	Correct	1 ms	344 KB	Output is correct
21	Correct	55 ms	456 KB	Output is correct
22	Correct	51 ms	348 KB	Output is correct
23	Correct	1 ms	344 KB	Output is correct
24	Correct	46 ms	348 KB	Output is correct
25	Correct	49 ms	348 KB	Output is correct
26	Correct	46 ms	348 KB	Output is correct
27	Execution timed out	5039 ms	600 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	344 KB	Output is correct
2	Correct	1 ms	344 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	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	348 KB	Output is correct
10	Correct	0 ms	348 KB	Output is correct
11	Incorrect	0 ms	348 KB	Output isn't correct
12	Halted	0 ms	0 KB	-

Subtask #5

0 / 12.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	344 KB	Output is correct
2	Correct	0 ms	348 KB	Output is correct
3	Correct	0 ms	360 KB	Output is correct
4	Correct	1 ms	348 KB	Output is correct
5	Correct	0 ms	348 KB	Output is correct
6	Correct	2 ms	348 KB	Output is correct
7	Correct	1 ms	348 KB	Output is correct
8	Correct	58 ms	456 KB	Output is correct
9	Correct	54 ms	348 KB	Output is correct
10	Execution timed out	5070 ms	344 KB	Time limit exceeded
11	Halted	0 ms	0 KB	-

Subtask #6

0 / 30.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	344 KB	Output is correct
2	Correct	1 ms	344 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	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	348 KB	Output is correct
10	Correct	0 ms	348 KB	Output is correct
11	Incorrect	0 ms	348 KB	Output isn't correct
12	Halted	0 ms	0 KB	-