Submission #994671

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
994671	2024-06-08T03:30:34 Z	hmm789	Trains (BOI24_trains)	C++14	100 / 100	718 ms	131924 KB

Main

#include <bits/stdc++.h>
using namespace std;
#define int long long 
#define MOD 1000000007

const int B = 320;
int sm[B][B][B];

int32_t main() {
	ios_base::sync_with_stdio(0);
	cin.tie(0); cout.tie(0);
	int n;
	cin >> n;
	int d[n], x[n], dp[n];
	for(int i = 0; i < n; i++) cin >> d[i] >> x[i];
	for(int i = n-1; i >= 0; i--) {
		dp[i] = 1;
		if(d[i] == 0) {
		} else if(d[i] < B) {
			int mn = min(i+d[i]*x[i], n-1);
			while(mn % d[i] != i%d[i]) mn--;
			int lblk = i/B, rblk = mn/B;
			if(rblk-lblk < 2) {
				for(int j = 1; j <= x[i]; j++) {
					if(i+j*d[i] >= n) break;
					dp[i] += dp[i+j*d[i]];
					dp[i] %= MOD;
				}
			} else {
				for(int j = lblk+1; j < rblk; j++) {
					dp[i] += sm[d[i]][i%d[i]][j];
					dp[i] %= MOD;
				}
				int st = (lblk+1)*B-1, ed = rblk*B;
				st = st-st%d[i]+i%d[i];
				if(st >= (lblk+1)*B) st -= d[i];
				for(; st > i; st -= d[i]) {
					dp[i] += dp[st];
					dp[i] %= MOD;
				}
				ed = ed-ed%d[i]+i%d[i];
				if(ed < rblk*B) ed += d[i];
				for(; ed <= mn; ed += d[i]) {
					dp[i] += dp[ed];
					dp[i] %= MOD;
				}
			}
		} else {
			for(int j = 1; j <= x[i]; j++) {
				if(i+j*d[i] >= n) break;
				dp[i] += dp[i+j*d[i]];
				dp[i] %= MOD;
			}
		}
		for(int j = 1; j < B; j++) {
			sm[j][i%j][i/B] += dp[i];
			sm[j][i%j][i/B] %= MOD;
		}
	}
	cout << dp[0];
}

Subtask #1
8.0 / 8.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	3 ms	4700 KB	Output is correct
2	Correct	3 ms	7260 KB	Output is correct
3	Correct	4 ms	10844 KB	Output is correct
4	Correct	3 ms	5772 KB	Output is correct
5	Correct	6 ms	13404 KB	Output is correct
6	Correct	6 ms	13304 KB	Output is correct
7	Correct	2 ms	2140 KB	Output is correct
8	Correct	2 ms	2140 KB	Output is correct
9	Correct	2 ms	2140 KB	Output is correct
10	Correct	2 ms	2140 KB	Output is correct
11	Correct	5 ms	13404 KB	Output is correct
12	Correct	6 ms	13404 KB	Output is correct
13	Correct	6 ms	13404 KB	Output is correct
14	Correct	5 ms	13400 KB	Output is correct
15	Correct	6 ms	13384 KB	Output is correct
16	Correct	6 ms	13404 KB	Output is correct
17	Correct	5 ms	13404 KB	Output is correct
18	Correct	6 ms	13404 KB	Output is correct
19	Correct	6 ms	13404 KB	Output is correct

Subtask #2
13.0 / 13.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	3 ms	4700 KB	Output is correct
2	Correct	3 ms	7260 KB	Output is correct
3	Correct	4 ms	10844 KB	Output is correct
4	Correct	3 ms	5772 KB	Output is correct
5	Correct	6 ms	13404 KB	Output is correct
6	Correct	6 ms	13304 KB	Output is correct
7	Correct	2 ms	2140 KB	Output is correct
8	Correct	2 ms	2140 KB	Output is correct
9	Correct	2 ms	2140 KB	Output is correct
10	Correct	2 ms	2140 KB	Output is correct
11	Correct	5 ms	13404 KB	Output is correct
12	Correct	6 ms	13404 KB	Output is correct
13	Correct	6 ms	13404 KB	Output is correct
14	Correct	5 ms	13400 KB	Output is correct
15	Correct	6 ms	13384 KB	Output is correct
16	Correct	6 ms	13404 KB	Output is correct
17	Correct	5 ms	13404 KB	Output is correct
18	Correct	6 ms	13404 KB	Output is correct
19	Correct	6 ms	13404 KB	Output is correct
20	Correct	80 ms	129028 KB	Output is correct
21	Correct	57 ms	128852 KB	Output is correct
22	Correct	87 ms	129120 KB	Output is correct
23	Correct	83 ms	128924 KB	Output is correct
24	Correct	62 ms	128872 KB	Output is correct
25	Correct	75 ms	129108 KB	Output is correct
26	Correct	64 ms	128852 KB	Output is correct
27	Correct	94 ms	128972 KB	Output is correct
28	Correct	98 ms	129164 KB	Output is correct
29	Correct	99 ms	129016 KB	Output is correct
30	Correct	85 ms	129108 KB	Output is correct
31	Correct	92 ms	129104 KB	Output is correct
32	Correct	95 ms	129104 KB	Output is correct
33	Correct	86 ms	129104 KB	Output is correct
34	Correct	77 ms	129104 KB	Output is correct
35	Correct	88 ms	129164 KB	Output is correct
36	Correct	91 ms	129104 KB	Output is correct

Subtask #3
16.0 / 16.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	6 ms	13656 KB	Output is correct
2	Correct	81 ms	128996 KB	Output is correct
3	Correct	66 ms	128848 KB	Output is correct
4	Correct	93 ms	129108 KB	Output is correct
5	Correct	400 ms	131156 KB	Output is correct
6	Correct	692 ms	131912 KB	Output is correct
7	Correct	700 ms	131824 KB	Output is correct
8	Correct	2 ms	2136 KB	Output is correct
9	Correct	2 ms	2136 KB	Output is correct
10	Correct	6 ms	13404 KB	Output is correct
11	Correct	92 ms	129132 KB	Output is correct
12	Correct	711 ms	131668 KB	Output is correct
13	Correct	8 ms	13400 KB	Output is correct
14	Correct	102 ms	129040 KB	Output is correct
15	Correct	708 ms	131892 KB	Output is correct

Subtask #4
34.0 / 34.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	302 ms	130268 KB	Output is correct
2	Correct	256 ms	129876 KB	Output is correct
3	Correct	663 ms	131824 KB	Output is correct
4	Correct	461 ms	130900 KB	Output is correct
5	Correct	2 ms	2136 KB	Output is correct
6	Correct	6 ms	13404 KB	Output is correct
7	Correct	97 ms	129136 KB	Output is correct
8	Correct	718 ms	131916 KB	Output is correct

Subtask #5
29.0 / 29.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	3 ms	4700 KB	Output is correct
2	Correct	3 ms	7260 KB	Output is correct
3	Correct	4 ms	10844 KB	Output is correct
4	Correct	3 ms	5772 KB	Output is correct
5	Correct	6 ms	13404 KB	Output is correct
6	Correct	6 ms	13304 KB	Output is correct
7	Correct	2 ms	2140 KB	Output is correct
8	Correct	2 ms	2140 KB	Output is correct
9	Correct	2 ms	2140 KB	Output is correct
10	Correct	2 ms	2140 KB	Output is correct
11	Correct	5 ms	13404 KB	Output is correct
12	Correct	6 ms	13404 KB	Output is correct
13	Correct	6 ms	13404 KB	Output is correct
14	Correct	5 ms	13400 KB	Output is correct
15	Correct	6 ms	13384 KB	Output is correct
16	Correct	6 ms	13404 KB	Output is correct
17	Correct	5 ms	13404 KB	Output is correct
18	Correct	6 ms	13404 KB	Output is correct
19	Correct	6 ms	13404 KB	Output is correct
20	Correct	80 ms	129028 KB	Output is correct
21	Correct	57 ms	128852 KB	Output is correct
22	Correct	87 ms	129120 KB	Output is correct
23	Correct	83 ms	128924 KB	Output is correct
24	Correct	62 ms	128872 KB	Output is correct
25	Correct	75 ms	129108 KB	Output is correct
26	Correct	64 ms	128852 KB	Output is correct
27	Correct	94 ms	128972 KB	Output is correct
28	Correct	98 ms	129164 KB	Output is correct
29	Correct	99 ms	129016 KB	Output is correct
30	Correct	85 ms	129108 KB	Output is correct
31	Correct	92 ms	129104 KB	Output is correct
32	Correct	95 ms	129104 KB	Output is correct
33	Correct	86 ms	129104 KB	Output is correct
34	Correct	77 ms	129104 KB	Output is correct
35	Correct	88 ms	129164 KB	Output is correct
36	Correct	91 ms	129104 KB	Output is correct
37	Correct	6 ms	13656 KB	Output is correct
38	Correct	81 ms	128996 KB	Output is correct
39	Correct	66 ms	128848 KB	Output is correct
40	Correct	93 ms	129108 KB	Output is correct
41	Correct	400 ms	131156 KB	Output is correct
42	Correct	692 ms	131912 KB	Output is correct
43	Correct	700 ms	131824 KB	Output is correct
44	Correct	2 ms	2136 KB	Output is correct
45	Correct	2 ms	2136 KB	Output is correct
46	Correct	6 ms	13404 KB	Output is correct
47	Correct	92 ms	129132 KB	Output is correct
48	Correct	711 ms	131668 KB	Output is correct
49	Correct	8 ms	13400 KB	Output is correct
50	Correct	102 ms	129040 KB	Output is correct
51	Correct	708 ms	131892 KB	Output is correct
52	Correct	302 ms	130268 KB	Output is correct
53	Correct	256 ms	129876 KB	Output is correct
54	Correct	663 ms	131824 KB	Output is correct
55	Correct	461 ms	130900 KB	Output is correct
56	Correct	2 ms	2136 KB	Output is correct
57	Correct	6 ms	13404 KB	Output is correct
58	Correct	97 ms	129136 KB	Output is correct
59	Correct	718 ms	131916 KB	Output is correct
60	Correct	468 ms	131156 KB	Output is correct
61	Correct	598 ms	131920 KB	Output is correct
62	Correct	552 ms	131916 KB	Output is correct
63	Correct	628 ms	131816 KB	Output is correct
64	Correct	502 ms	131872 KB	Output is correct
65	Correct	565 ms	131916 KB	Output is correct
66	Correct	586 ms	131924 KB	Output is correct
67	Correct	509 ms	131756 KB	Output is correct
68	Correct	593 ms	131824 KB	Output is correct
69	Correct	533 ms	131664 KB	Output is correct
70	Correct	527 ms	131672 KB	Output is correct
71	Correct	511 ms	131920 KB	Output is correct
72	Correct	607 ms	131916 KB	Output is correct

Submission #994671

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