Submission #999492

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
999492	2024-06-15T15:35:45 Z	esomer	Trains (BOI24_trains)	C++17	100 / 100	618 ms	358024 KB

Main

#include <bits/stdc++.h>

using namespace std;

const int MOD = 1e9 + 7;

typedef long long ll;

ll sumLast(vector<ll>& suf, int x){
	if(x >= (int)suf.size()) return suf.back();
	if(!x) return 0;
	return (suf.back() + MOD - suf[(int)suf.size() - x - 1]) % MOD;
}

int main(){
	ios_base::sync_with_stdio(0);
	cin.tie(0);

	int N; cin >> N;
	vector<int> x(N), d(N);
	for(int i = 0; i < N; i++){
		cin >> d[i] >> x[i];
	}
	int sqr = sqrt(N);
	vector<vector<vector<ll>>> suffix(sqr);
	//It's efficiente because each index will be in sqrt vectors.
	for(int i = 1; i < sqr; i++){
		suffix[i].assign(i, {0});
	}
	vector<ll> dp(N, 0);
	for(int i = N - 1; i >= 0; i--){
		dp[i]++; //Just ending there.
		if(d[i] >= sqr){
			int curr = i + d[i];
			int currMult = 1;
			while(curr < N && currMult <= x[i]){
				dp[i] += dp[curr]; dp[i] %= MOD;
				currMult++;
				curr += d[i];
			}
		}else if(d[i] > 0){
			int md = i % d[i];
			//I want the sum of the last x ones.
			dp[i] += sumLast(suffix[d[i]][md], x[i]);
			dp[i] %= MOD;
		}
		for(int div = 1; div < sqr; div++){
			int md = i % div;
			suffix[div][md].push_back((suffix[div][md].back() + dp[i]) % MOD);
		}
	}
	cout << dp[0] << "\n";
}

Subtask #1
8.0 / 8.0

#	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
8	Correct	348 KB	Output is correct
9	Correct	348 KB	Output is correct
10	Correct	348 KB	Output is correct
11	Correct	348 KB	Output is correct
12	Correct	348 KB	Output is correct
13	Correct	348 KB	Output is correct
14	Correct	348 KB	Output is correct
15	Correct	344 KB	Output is correct
16	Correct	348 KB	Output is correct
17	Correct	348 KB	Output is correct
18	Correct	348 KB	Output is correct
19	Correct	348 KB	Output is correct

Subtask #2
13.0 / 13.0

#	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	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	0 ms	348 KB	Output is correct
14	Correct	0 ms	348 KB	Output is correct
15	Correct	0 ms	344 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	12 ms	9308 KB	Output is correct
21	Correct	2 ms	2396 KB	Output is correct
22	Correct	15 ms	12044 KB	Output is correct
23	Correct	7 ms	6488 KB	Output is correct
24	Correct	4 ms	3672 KB	Output is correct
25	Correct	13 ms	10332 KB	Output is correct
26	Correct	4 ms	4188 KB	Output is correct
27	Correct	11 ms	9560 KB	Output is correct
28	Correct	15 ms	12224 KB	Output is correct
29	Correct	19 ms	12136 KB	Output is correct
30	Correct	15 ms	12100 KB	Output is correct
31	Correct	16 ms	12120 KB	Output is correct
32	Correct	14 ms	12124 KB	Output is correct
33	Correct	15 ms	12240 KB	Output is correct
34	Correct	14 ms	12124 KB	Output is correct
35	Correct	18 ms	12124 KB	Output is correct
36	Correct	20 ms	12124 KB	Output is correct

Subtask #3
16.0 / 16.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	348 KB	Output is correct
2	Correct	7 ms	6492 KB	Output is correct
3	Correct	4 ms	4188 KB	Output is correct
4	Correct	13 ms	9564 KB	Output is correct
5	Correct	362 ms	250232 KB	Output is correct
6	Correct	515 ms	357956 KB	Output is correct
7	Correct	518 ms	357952 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	18 ms	12100 KB	Output is correct
12	Correct	524 ms	357844 KB	Output is correct
13	Correct	0 ms	344 KB	Output is correct
14	Correct	15 ms	12168 KB	Output is correct
15	Correct	533 ms	357836 KB	Output is correct

Subtask #4
34.0 / 34.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	174 ms	122056 KB	Output is correct
2	Correct	131 ms	91716 KB	Output is correct
3	Correct	532 ms	357952 KB	Output is correct
4	Correct	344 ms	225068 KB	Output is correct
5	Correct	1 ms	344 KB	Output is correct
6	Correct	0 ms	348 KB	Output is correct
7	Correct	15 ms	12240 KB	Output is correct
8	Correct	516 ms	357912 KB	Output is correct

Subtask #5
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	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	0 ms	348 KB	Output is correct
14	Correct	0 ms	348 KB	Output is correct
15	Correct	0 ms	344 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	12 ms	9308 KB	Output is correct
21	Correct	2 ms	2396 KB	Output is correct
22	Correct	15 ms	12044 KB	Output is correct
23	Correct	7 ms	6488 KB	Output is correct
24	Correct	4 ms	3672 KB	Output is correct
25	Correct	13 ms	10332 KB	Output is correct
26	Correct	4 ms	4188 KB	Output is correct
27	Correct	11 ms	9560 KB	Output is correct
28	Correct	15 ms	12224 KB	Output is correct
29	Correct	19 ms	12136 KB	Output is correct
30	Correct	15 ms	12100 KB	Output is correct
31	Correct	16 ms	12120 KB	Output is correct
32	Correct	14 ms	12124 KB	Output is correct
33	Correct	15 ms	12240 KB	Output is correct
34	Correct	14 ms	12124 KB	Output is correct
35	Correct	18 ms	12124 KB	Output is correct
36	Correct	20 ms	12124 KB	Output is correct
37	Correct	0 ms	348 KB	Output is correct
38	Correct	7 ms	6492 KB	Output is correct
39	Correct	4 ms	4188 KB	Output is correct
40	Correct	13 ms	9564 KB	Output is correct
41	Correct	362 ms	250232 KB	Output is correct
42	Correct	515 ms	357956 KB	Output is correct
43	Correct	518 ms	357952 KB	Output is correct
44	Correct	0 ms	348 KB	Output is correct
45	Correct	0 ms	348 KB	Output is correct
46	Correct	0 ms	348 KB	Output is correct
47	Correct	18 ms	12100 KB	Output is correct
48	Correct	524 ms	357844 KB	Output is correct
49	Correct	0 ms	344 KB	Output is correct
50	Correct	15 ms	12168 KB	Output is correct
51	Correct	533 ms	357836 KB	Output is correct
52	Correct	174 ms	122056 KB	Output is correct
53	Correct	131 ms	91716 KB	Output is correct
54	Correct	532 ms	357952 KB	Output is correct
55	Correct	344 ms	225068 KB	Output is correct
56	Correct	1 ms	344 KB	Output is correct
57	Correct	0 ms	348 KB	Output is correct
58	Correct	15 ms	12240 KB	Output is correct
59	Correct	516 ms	357912 KB	Output is correct
60	Correct	439 ms	277640 KB	Output is correct
61	Correct	545 ms	357884 KB	Output is correct
62	Correct	519 ms	357976 KB	Output is correct
63	Correct	602 ms	357952 KB	Output is correct
64	Correct	516 ms	357968 KB	Output is correct
65	Correct	569 ms	358000 KB	Output is correct
66	Correct	515 ms	357976 KB	Output is correct
67	Correct	570 ms	358024 KB	Output is correct
68	Correct	525 ms	357948 KB	Output is correct
69	Correct	542 ms	357948 KB	Output is correct
70	Correct	570 ms	357924 KB	Output is correct
71	Correct	618 ms	358004 KB	Output is correct
72	Correct	523 ms	357952 KB	Output is correct

Submission #999492

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