#include <bits/stdc++.h>
using namespace std;
#define int long long
const long long N = 1e5 + 5;
const long long inf = 1e9;
const long long mod = 1e9 + 7;
const int Block = 300;
int n, d[N], x[N];
int dp[N], f[N][Block + 5];
signed main() {
ios_base :: sync_with_stdio (0);
cin.tie (0);
cin >> n;
for (int i = 1; i <= n; i++) {
cin >> d[i] >> x[i];
}
for (int i = n; i >= 1; i--) {
dp[i] = 0;
if (d[i] == 0) {
dp[i] = 1;
}
else if (d[i] > Block) {
for (int j = i + d[i]; j <= min(n, i + d[i] * x[i]); j += d[i]) {
dp[i] = (dp[i] + dp[j]) % mod;
}
dp[i] = (dp[i] + 1) % mod;
}
else {
dp[i] = 1;
dp[i] = (dp[i] + ((i + d[i] <= n) ? (f[i + d[i]][d[i]]) : 0)) % mod;
dp[i] = (dp[i] - ((i + d[i] * (x[i] + 1) <= n) ? (f[(i + d[i] * (x[i] + 1))][d[i]]) : 0) + mod * mod) % mod;
}
for (int j = 0; j <= Block; j++) {
f[i][j] = ((i + j <= n ? f[i + j][j] : 0) + dp[i]) % mod;
}
}
cout << dp[1];
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2652 KB |
Output is correct |
2 |
Correct |
0 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2392 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2512 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
0 ms |
2396 KB |
Output is correct |
11 |
Correct |
0 ms |
2396 KB |
Output is correct |
12 |
Correct |
1 ms |
2396 KB |
Output is correct |
13 |
Correct |
1 ms |
2392 KB |
Output is correct |
14 |
Correct |
0 ms |
2396 KB |
Output is correct |
15 |
Correct |
1 ms |
2396 KB |
Output is correct |
16 |
Correct |
1 ms |
2396 KB |
Output is correct |
17 |
Correct |
1 ms |
2392 KB |
Output is correct |
18 |
Correct |
1 ms |
2392 KB |
Output is correct |
19 |
Correct |
0 ms |
2396 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2652 KB |
Output is correct |
2 |
Correct |
0 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2392 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2512 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
0 ms |
2396 KB |
Output is correct |
11 |
Correct |
0 ms |
2396 KB |
Output is correct |
12 |
Correct |
1 ms |
2396 KB |
Output is correct |
13 |
Correct |
1 ms |
2392 KB |
Output is correct |
14 |
Correct |
0 ms |
2396 KB |
Output is correct |
15 |
Correct |
1 ms |
2396 KB |
Output is correct |
16 |
Correct |
1 ms |
2396 KB |
Output is correct |
17 |
Correct |
1 ms |
2392 KB |
Output is correct |
18 |
Correct |
1 ms |
2392 KB |
Output is correct |
19 |
Correct |
0 ms |
2396 KB |
Output is correct |
20 |
Correct |
13 ms |
22360 KB |
Output is correct |
21 |
Correct |
5 ms |
9564 KB |
Output is correct |
22 |
Correct |
16 ms |
26412 KB |
Output is correct |
23 |
Correct |
10 ms |
17956 KB |
Output is correct |
24 |
Correct |
7 ms |
12376 KB |
Output is correct |
25 |
Correct |
16 ms |
23900 KB |
Output is correct |
26 |
Correct |
9 ms |
13148 KB |
Output is correct |
27 |
Correct |
13 ms |
22876 KB |
Output is correct |
28 |
Correct |
18 ms |
26456 KB |
Output is correct |
29 |
Correct |
16 ms |
26460 KB |
Output is correct |
30 |
Correct |
16 ms |
26484 KB |
Output is correct |
31 |
Correct |
18 ms |
26460 KB |
Output is correct |
32 |
Correct |
16 ms |
26456 KB |
Output is correct |
33 |
Correct |
18 ms |
26460 KB |
Output is correct |
34 |
Correct |
16 ms |
26460 KB |
Output is correct |
35 |
Correct |
18 ms |
26376 KB |
Output is correct |
36 |
Correct |
17 ms |
26456 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2392 KB |
Output is correct |
2 |
Correct |
11 ms |
17956 KB |
Output is correct |
3 |
Correct |
9 ms |
13148 KB |
Output is correct |
4 |
Correct |
15 ms |
22840 KB |
Output is correct |
5 |
Correct |
113 ms |
187868 KB |
Output is correct |
6 |
Correct |
148 ms |
242216 KB |
Output is correct |
7 |
Correct |
159 ms |
242260 KB |
Output is correct |
8 |
Correct |
0 ms |
2396 KB |
Output is correct |
9 |
Correct |
0 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
16 ms |
26532 KB |
Output is correct |
12 |
Correct |
152 ms |
242776 KB |
Output is correct |
13 |
Correct |
0 ms |
2396 KB |
Output is correct |
14 |
Correct |
16 ms |
26496 KB |
Output is correct |
15 |
Correct |
149 ms |
242652 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
70 ms |
118352 KB |
Output is correct |
2 |
Correct |
73 ms |
98668 KB |
Output is correct |
3 |
Correct |
146 ms |
242768 KB |
Output is correct |
4 |
Correct |
105 ms |
174932 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
16 ms |
26460 KB |
Output is correct |
8 |
Correct |
152 ms |
242772 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2652 KB |
Output is correct |
2 |
Correct |
0 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2392 KB |
Output is correct |
6 |
Correct |
1 ms |
2396 KB |
Output is correct |
7 |
Correct |
1 ms |
2396 KB |
Output is correct |
8 |
Correct |
1 ms |
2512 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
0 ms |
2396 KB |
Output is correct |
11 |
Correct |
0 ms |
2396 KB |
Output is correct |
12 |
Correct |
1 ms |
2396 KB |
Output is correct |
13 |
Correct |
1 ms |
2392 KB |
Output is correct |
14 |
Correct |
0 ms |
2396 KB |
Output is correct |
15 |
Correct |
1 ms |
2396 KB |
Output is correct |
16 |
Correct |
1 ms |
2396 KB |
Output is correct |
17 |
Correct |
1 ms |
2392 KB |
Output is correct |
18 |
Correct |
1 ms |
2392 KB |
Output is correct |
19 |
Correct |
0 ms |
2396 KB |
Output is correct |
20 |
Correct |
13 ms |
22360 KB |
Output is correct |
21 |
Correct |
5 ms |
9564 KB |
Output is correct |
22 |
Correct |
16 ms |
26412 KB |
Output is correct |
23 |
Correct |
10 ms |
17956 KB |
Output is correct |
24 |
Correct |
7 ms |
12376 KB |
Output is correct |
25 |
Correct |
16 ms |
23900 KB |
Output is correct |
26 |
Correct |
9 ms |
13148 KB |
Output is correct |
27 |
Correct |
13 ms |
22876 KB |
Output is correct |
28 |
Correct |
18 ms |
26456 KB |
Output is correct |
29 |
Correct |
16 ms |
26460 KB |
Output is correct |
30 |
Correct |
16 ms |
26484 KB |
Output is correct |
31 |
Correct |
18 ms |
26460 KB |
Output is correct |
32 |
Correct |
16 ms |
26456 KB |
Output is correct |
33 |
Correct |
18 ms |
26460 KB |
Output is correct |
34 |
Correct |
16 ms |
26460 KB |
Output is correct |
35 |
Correct |
18 ms |
26376 KB |
Output is correct |
36 |
Correct |
17 ms |
26456 KB |
Output is correct |
37 |
Correct |
1 ms |
2392 KB |
Output is correct |
38 |
Correct |
11 ms |
17956 KB |
Output is correct |
39 |
Correct |
9 ms |
13148 KB |
Output is correct |
40 |
Correct |
15 ms |
22840 KB |
Output is correct |
41 |
Correct |
113 ms |
187868 KB |
Output is correct |
42 |
Correct |
148 ms |
242216 KB |
Output is correct |
43 |
Correct |
159 ms |
242260 KB |
Output is correct |
44 |
Correct |
0 ms |
2396 KB |
Output is correct |
45 |
Correct |
0 ms |
2396 KB |
Output is correct |
46 |
Correct |
1 ms |
2396 KB |
Output is correct |
47 |
Correct |
16 ms |
26532 KB |
Output is correct |
48 |
Correct |
152 ms |
242776 KB |
Output is correct |
49 |
Correct |
0 ms |
2396 KB |
Output is correct |
50 |
Correct |
16 ms |
26496 KB |
Output is correct |
51 |
Correct |
149 ms |
242652 KB |
Output is correct |
52 |
Correct |
70 ms |
118352 KB |
Output is correct |
53 |
Correct |
73 ms |
98668 KB |
Output is correct |
54 |
Correct |
146 ms |
242768 KB |
Output is correct |
55 |
Correct |
105 ms |
174932 KB |
Output is correct |
56 |
Correct |
1 ms |
2396 KB |
Output is correct |
57 |
Correct |
1 ms |
2396 KB |
Output is correct |
58 |
Correct |
16 ms |
26460 KB |
Output is correct |
59 |
Correct |
152 ms |
242772 KB |
Output is correct |
60 |
Correct |
135 ms |
203096 KB |
Output is correct |
61 |
Correct |
145 ms |
242496 KB |
Output is correct |
62 |
Correct |
163 ms |
242004 KB |
Output is correct |
63 |
Correct |
141 ms |
242256 KB |
Output is correct |
64 |
Correct |
153 ms |
243284 KB |
Output is correct |
65 |
Correct |
167 ms |
242744 KB |
Output is correct |
66 |
Correct |
140 ms |
242512 KB |
Output is correct |
67 |
Correct |
148 ms |
242976 KB |
Output is correct |
68 |
Correct |
148 ms |
242516 KB |
Output is correct |
69 |
Correct |
155 ms |
242256 KB |
Output is correct |
70 |
Correct |
156 ms |
242512 KB |
Output is correct |
71 |
Correct |
153 ms |
242456 KB |
Output is correct |
72 |
Correct |
158 ms |
242252 KB |
Output is correct |