# |
Submission time |
Handle |
Problem |
Language |
Result |
Execution time |
Memory |
993202 |
2024-06-05T12:37:34 Z |
vladilius |
Trains (BOI24_trains) |
C++17 |
|
158 ms |
4996 KB |
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using pli = pair<ll, int>;
const int mod = 1e9 + 7;
int main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int n; cin>>n;
vector<int> d(n + 1), x(n + 1);
for (int i = 1; i <= n; i++){
cin>>d[i]>>x[i];
}
vector<ll> dp(n + 1); dp[1] = 1;
int sq = (int) sqrt(n);
vector<vector<ll>> sum(sq, vector<ll>(sq));
auto recalc = [&](int i){
for (int f = 1; f < sq; f++){
dp[i] = (dp[i] + sum[f][i % f]) % mod;
}
};
priority_queue<pli, vector<pli>, greater<pli>> pq;
auto add = [&](int i){
recalc(i);
if (!d[i]) return;
if (d[i] >= sq){
for (int j = 1; j <= x[i]; j++){
ll v = i + 1LL * d[i] * j;
if (v > n) break;
dp[v] = (dp[v] + dp[i]) % mod;
}
return;
}
pq.push({i + 1LL * d[i] * x[i], i});
sum[d[i]][i % d[i]] += dp[i];
sum[d[i]][i % d[i]] %= mod;
};
for (int i = 1; i <= n; i++){
add(i);
while (!pq.empty()){
auto [v, j] = pq.top();
if (v > i) break;
pq.pop();
sum[d[j]][j % d[j]] -= dp[j];
sum[d[j]][j % d[j]] %= mod;
}
}
ll out = 0;
for (int i = 1; i <= n; i++){
out = (out + dp[i]) % mod;
}
cout<<(out + mod) % mod<<"\n";
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 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 |
348 KB |
Output is correct |
16 |
Correct |
1 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 |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 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 |
348 KB |
Output is correct |
16 |
Correct |
1 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 |
5 ms |
856 KB |
Output is correct |
21 |
Correct |
1 ms |
528 KB |
Output is correct |
22 |
Correct |
6 ms |
604 KB |
Output is correct |
23 |
Correct |
4 ms |
604 KB |
Output is correct |
24 |
Correct |
2 ms |
348 KB |
Output is correct |
25 |
Correct |
5 ms |
856 KB |
Output is correct |
26 |
Correct |
2 ms |
604 KB |
Output is correct |
27 |
Correct |
5 ms |
860 KB |
Output is correct |
28 |
Correct |
6 ms |
1048 KB |
Output is correct |
29 |
Correct |
5 ms |
984 KB |
Output is correct |
30 |
Correct |
5 ms |
600 KB |
Output is correct |
31 |
Correct |
6 ms |
856 KB |
Output is correct |
32 |
Correct |
7 ms |
984 KB |
Output is correct |
33 |
Correct |
6 ms |
604 KB |
Output is correct |
34 |
Correct |
5 ms |
604 KB |
Output is correct |
35 |
Correct |
5 ms |
604 KB |
Output is correct |
36 |
Correct |
6 ms |
984 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
3 ms |
604 KB |
Output is correct |
3 |
Correct |
2 ms |
604 KB |
Output is correct |
4 |
Correct |
5 ms |
860 KB |
Output is correct |
5 |
Correct |
95 ms |
2272 KB |
Output is correct |
6 |
Correct |
149 ms |
4812 KB |
Output is correct |
7 |
Correct |
141 ms |
4812 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 |
6 ms |
984 KB |
Output is correct |
12 |
Correct |
142 ms |
4816 KB |
Output is correct |
13 |
Correct |
0 ms |
344 KB |
Output is correct |
14 |
Correct |
7 ms |
1236 KB |
Output is correct |
15 |
Correct |
143 ms |
4880 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
50 ms |
2512 KB |
Output is correct |
2 |
Correct |
38 ms |
2508 KB |
Output is correct |
3 |
Correct |
142 ms |
4780 KB |
Output is correct |
4 |
Correct |
89 ms |
4300 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
6 ms |
984 KB |
Output is correct |
8 |
Correct |
141 ms |
4996 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 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 |
348 KB |
Output is correct |
16 |
Correct |
1 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 |
5 ms |
856 KB |
Output is correct |
21 |
Correct |
1 ms |
528 KB |
Output is correct |
22 |
Correct |
6 ms |
604 KB |
Output is correct |
23 |
Correct |
4 ms |
604 KB |
Output is correct |
24 |
Correct |
2 ms |
348 KB |
Output is correct |
25 |
Correct |
5 ms |
856 KB |
Output is correct |
26 |
Correct |
2 ms |
604 KB |
Output is correct |
27 |
Correct |
5 ms |
860 KB |
Output is correct |
28 |
Correct |
6 ms |
1048 KB |
Output is correct |
29 |
Correct |
5 ms |
984 KB |
Output is correct |
30 |
Correct |
5 ms |
600 KB |
Output is correct |
31 |
Correct |
6 ms |
856 KB |
Output is correct |
32 |
Correct |
7 ms |
984 KB |
Output is correct |
33 |
Correct |
6 ms |
604 KB |
Output is correct |
34 |
Correct |
5 ms |
604 KB |
Output is correct |
35 |
Correct |
5 ms |
604 KB |
Output is correct |
36 |
Correct |
6 ms |
984 KB |
Output is correct |
37 |
Correct |
0 ms |
348 KB |
Output is correct |
38 |
Correct |
3 ms |
604 KB |
Output is correct |
39 |
Correct |
2 ms |
604 KB |
Output is correct |
40 |
Correct |
5 ms |
860 KB |
Output is correct |
41 |
Correct |
95 ms |
2272 KB |
Output is correct |
42 |
Correct |
149 ms |
4812 KB |
Output is correct |
43 |
Correct |
141 ms |
4812 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 |
6 ms |
984 KB |
Output is correct |
48 |
Correct |
142 ms |
4816 KB |
Output is correct |
49 |
Correct |
0 ms |
344 KB |
Output is correct |
50 |
Correct |
7 ms |
1236 KB |
Output is correct |
51 |
Correct |
143 ms |
4880 KB |
Output is correct |
52 |
Correct |
50 ms |
2512 KB |
Output is correct |
53 |
Correct |
38 ms |
2508 KB |
Output is correct |
54 |
Correct |
142 ms |
4780 KB |
Output is correct |
55 |
Correct |
89 ms |
4300 KB |
Output is correct |
56 |
Correct |
0 ms |
348 KB |
Output is correct |
57 |
Correct |
0 ms |
348 KB |
Output is correct |
58 |
Correct |
6 ms |
984 KB |
Output is correct |
59 |
Correct |
141 ms |
4996 KB |
Output is correct |
60 |
Correct |
108 ms |
4556 KB |
Output is correct |
61 |
Correct |
144 ms |
4812 KB |
Output is correct |
62 |
Correct |
146 ms |
2908 KB |
Output is correct |
63 |
Correct |
150 ms |
4812 KB |
Output is correct |
64 |
Correct |
141 ms |
2812 KB |
Output is correct |
65 |
Correct |
157 ms |
3328 KB |
Output is correct |
66 |
Correct |
141 ms |
4812 KB |
Output is correct |
67 |
Correct |
140 ms |
2824 KB |
Output is correct |
68 |
Correct |
143 ms |
3892 KB |
Output is correct |
69 |
Correct |
158 ms |
3288 KB |
Output is correct |
70 |
Correct |
139 ms |
2652 KB |
Output is correct |
71 |
Correct |
138 ms |
2812 KB |
Output is correct |
72 |
Correct |
143 ms |
4812 KB |
Output is correct |