Submission #1052948

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
1052948	2024-08-11T06:36:07 Z	Jawad_Akbar_JJ	Trains (BOI24_trains)	C++17	100 / 100	248 ms	7884 KB

Main

#include <iostream>
#include <vector>

using namespace std;
#define int long long
const int N = 1e5 + 5;
int dp[N], mod = 1e9 + 7, Ans;
int Mod[505][505];
vector<pair<int,int>> rem[N];

signed main(){
	int n;
	cin>>n;
	dp[1] = 1;
	for (int i=1, d, x;i<=n;i++){
		cin>>d>>x;
		for (int m=1;m<=500;m++)
			dp[i] = (dp[i] + Mod[m][i % m]) % mod;

		if (d > 500){
			for (int j=d;j/d<=x and i + j <= n;j+=d)
				dp[j + i] = (dp[j + i] + dp[i]) % mod;
		}
		else if (d){
			Mod[d][i % d] = (Mod[d][i % d] + dp[i]) % mod;
		}

		if (d and d <= 500 and d * x + i <= n)
			rem[d * x + i].push_back({i, d});
		
		for (auto [ind, d_ind] : rem[i])
			Mod[d_ind][ind % d_ind] = (Mod[d_ind][ind % d_ind] - dp[ind] + mod) % mod;
		Ans = (Ans + dp[i]) % mod;
		// exit by removing those 
	}
	cout<<Ans<<'\n';
}

Subtask #1
8.0 / 8.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	4696 KB	Output is correct
2	Correct	0 ms	4712 KB	Output is correct
3	Correct	1 ms	4700 KB	Output is correct
4	Correct	0 ms	4700 KB	Output is correct
5	Correct	1 ms	4700 KB	Output is correct
6	Correct	0 ms	4700 KB	Output is correct
7	Correct	0 ms	4700 KB	Output is correct
8	Correct	1 ms	4700 KB	Output is correct
9	Correct	1 ms	4700 KB	Output is correct
10	Correct	1 ms	4700 KB	Output is correct
11	Correct	1 ms	4700 KB	Output is correct
12	Correct	1 ms	4696 KB	Output is correct
13	Correct	1 ms	4700 KB	Output is correct
14	Correct	1 ms	4700 KB	Output is correct
15	Correct	1 ms	4700 KB	Output is correct
16	Correct	1 ms	4700 KB	Output is correct
17	Correct	1 ms	4700 KB	Output is correct
18	Correct	1 ms	4700 KB	Output is correct
19	Correct	1 ms	4700 KB	Output is correct

Subtask #2
13.0 / 13.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	4696 KB	Output is correct
2	Correct	0 ms	4712 KB	Output is correct
3	Correct	1 ms	4700 KB	Output is correct
4	Correct	0 ms	4700 KB	Output is correct
5	Correct	1 ms	4700 KB	Output is correct
6	Correct	0 ms	4700 KB	Output is correct
7	Correct	0 ms	4700 KB	Output is correct
8	Correct	1 ms	4700 KB	Output is correct
9	Correct	1 ms	4700 KB	Output is correct
10	Correct	1 ms	4700 KB	Output is correct
11	Correct	1 ms	4700 KB	Output is correct
12	Correct	1 ms	4696 KB	Output is correct
13	Correct	1 ms	4700 KB	Output is correct
14	Correct	1 ms	4700 KB	Output is correct
15	Correct	1 ms	4700 KB	Output is correct
16	Correct	1 ms	4700 KB	Output is correct
17	Correct	1 ms	4700 KB	Output is correct
18	Correct	1 ms	4700 KB	Output is correct
19	Correct	1 ms	4700 KB	Output is correct
20	Correct	18 ms	4700 KB	Output is correct
21	Correct	7 ms	4700 KB	Output is correct
22	Correct	24 ms	4876 KB	Output is correct
23	Correct	14 ms	4696 KB	Output is correct
24	Correct	10 ms	4700 KB	Output is correct
25	Correct	19 ms	4764 KB	Output is correct
26	Correct	11 ms	4700 KB	Output is correct
27	Correct	19 ms	4764 KB	Output is correct
28	Correct	27 ms	4772 KB	Output is correct
29	Correct	24 ms	4952 KB	Output is correct
30	Correct	23 ms	4700 KB	Output is correct
31	Correct	27 ms	4700 KB	Output is correct
32	Correct	27 ms	4700 KB	Output is correct
33	Correct	22 ms	4956 KB	Output is correct
34	Correct	22 ms	4824 KB	Output is correct
35	Correct	23 ms	4820 KB	Output is correct
36	Correct	22 ms	4696 KB	Output is correct

Subtask #3
16.0 / 16.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	4700 KB	Output is correct
2	Correct	15 ms	4796 KB	Output is correct
3	Correct	10 ms	4696 KB	Output is correct
4	Correct	19 ms	4700 KB	Output is correct
5	Correct	165 ms	7248 KB	Output is correct
6	Correct	212 ms	5292 KB	Output is correct
7	Correct	213 ms	5716 KB	Output is correct
8	Correct	1 ms	4700 KB	Output is correct
9	Correct	1 ms	4700 KB	Output is correct
10	Correct	1 ms	4700 KB	Output is correct
11	Correct	23 ms	4760 KB	Output is correct
12	Correct	223 ms	5284 KB	Output is correct
13	Correct	1 ms	4696 KB	Output is correct
14	Correct	23 ms	4700 KB	Output is correct
15	Correct	220 ms	5460 KB	Output is correct

Subtask #4
34.0 / 34.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	108 ms	4944 KB	Output is correct
2	Correct	89 ms	4856 KB	Output is correct
3	Correct	220 ms	5312 KB	Output is correct
4	Correct	159 ms	5084 KB	Output is correct
5	Correct	1 ms	4696 KB	Output is correct
6	Correct	1 ms	4700 KB	Output is correct
7	Correct	24 ms	5208 KB	Output is correct
8	Correct	228 ms	5340 KB	Output is correct

Subtask #5
29.0 / 29.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	4696 KB	Output is correct
2	Correct	0 ms	4712 KB	Output is correct
3	Correct	1 ms	4700 KB	Output is correct
4	Correct	0 ms	4700 KB	Output is correct
5	Correct	1 ms	4700 KB	Output is correct
6	Correct	0 ms	4700 KB	Output is correct
7	Correct	0 ms	4700 KB	Output is correct
8	Correct	1 ms	4700 KB	Output is correct
9	Correct	1 ms	4700 KB	Output is correct
10	Correct	1 ms	4700 KB	Output is correct
11	Correct	1 ms	4700 KB	Output is correct
12	Correct	1 ms	4696 KB	Output is correct
13	Correct	1 ms	4700 KB	Output is correct
14	Correct	1 ms	4700 KB	Output is correct
15	Correct	1 ms	4700 KB	Output is correct
16	Correct	1 ms	4700 KB	Output is correct
17	Correct	1 ms	4700 KB	Output is correct
18	Correct	1 ms	4700 KB	Output is correct
19	Correct	1 ms	4700 KB	Output is correct
20	Correct	18 ms	4700 KB	Output is correct
21	Correct	7 ms	4700 KB	Output is correct
22	Correct	24 ms	4876 KB	Output is correct
23	Correct	14 ms	4696 KB	Output is correct
24	Correct	10 ms	4700 KB	Output is correct
25	Correct	19 ms	4764 KB	Output is correct
26	Correct	11 ms	4700 KB	Output is correct
27	Correct	19 ms	4764 KB	Output is correct
28	Correct	27 ms	4772 KB	Output is correct
29	Correct	24 ms	4952 KB	Output is correct
30	Correct	23 ms	4700 KB	Output is correct
31	Correct	27 ms	4700 KB	Output is correct
32	Correct	27 ms	4700 KB	Output is correct
33	Correct	22 ms	4956 KB	Output is correct
34	Correct	22 ms	4824 KB	Output is correct
35	Correct	23 ms	4820 KB	Output is correct
36	Correct	22 ms	4696 KB	Output is correct
37	Correct	1 ms	4700 KB	Output is correct
38	Correct	15 ms	4796 KB	Output is correct
39	Correct	10 ms	4696 KB	Output is correct
40	Correct	19 ms	4700 KB	Output is correct
41	Correct	165 ms	7248 KB	Output is correct
42	Correct	212 ms	5292 KB	Output is correct
43	Correct	213 ms	5716 KB	Output is correct
44	Correct	1 ms	4700 KB	Output is correct
45	Correct	1 ms	4700 KB	Output is correct
46	Correct	1 ms	4700 KB	Output is correct
47	Correct	23 ms	4760 KB	Output is correct
48	Correct	223 ms	5284 KB	Output is correct
49	Correct	1 ms	4696 KB	Output is correct
50	Correct	23 ms	4700 KB	Output is correct
51	Correct	220 ms	5460 KB	Output is correct
52	Correct	108 ms	4944 KB	Output is correct
53	Correct	89 ms	4856 KB	Output is correct
54	Correct	220 ms	5312 KB	Output is correct
55	Correct	159 ms	5084 KB	Output is correct
56	Correct	1 ms	4696 KB	Output is correct
57	Correct	1 ms	4700 KB	Output is correct
58	Correct	24 ms	5208 KB	Output is correct
59	Correct	228 ms	5340 KB	Output is correct
60	Correct	184 ms	5176 KB	Output is correct
61	Correct	214 ms	5316 KB	Output is correct
62	Correct	218 ms	7884 KB	Output is correct
63	Correct	215 ms	5400 KB	Output is correct
64	Correct	235 ms	5356 KB	Output is correct
65	Correct	248 ms	5528 KB	Output is correct
66	Correct	217 ms	5408 KB	Output is correct
67	Correct	231 ms	5716 KB	Output is correct
68	Correct	220 ms	5308 KB	Output is correct
69	Correct	217 ms	7368 KB	Output is correct
70	Correct	222 ms	5464 KB	Output is correct
71	Correct	220 ms	5492 KB	Output is correct
72	Correct	214 ms	5460 KB	Output is correct

Submission #1052948

Compilation message

Subtask #1 8.0 / 8.0

Subtask #2 13.0 / 13.0

Subtask #3 16.0 / 16.0

Subtask #4 34.0 / 34.0

Subtask #5 29.0 / 29.0

Subtask #1
8.0 / 8.0

Subtask #2
13.0 / 13.0

Subtask #3
16.0 / 16.0

Subtask #4
34.0 / 34.0

Subtask #5
29.0 / 29.0