#include <bits/stdc++.h>
using namespace std;
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
static constexpr int P = 1e9 + 7;
int n, m;
cin >> n >> m;
vector<int> enforce0(n, -1); // enforces s[i] >= s[i + 1]
vector<int> enforce1(n, -1); // enforces s[i] <= s[i + 1]
for (int i = 0; i < m; i++) {
int a, b;
cin >> a >> b;
a--;
b--;
if (a < b) enforce0[a] = max(enforce0[a], b);
else enforce1[b] = max(enforce1[b], a);
}
vector<int> all(n);
iota(all.begin(), all.end(), 0);
set<int> s0(all.begin(), all.end());
set<int> s1(all.begin(), all.end());
vector<vector<int>> dp(n, vector<int>(26, 0));
vector<vector<int>> upper(n, vector<int>(26, 0));
vector<vector<int>> lower(n, vector<int>(26, 0));
dp[n - 1] = vector<int>(26, 1);
int f = accumulate(dp[n - 1].begin(), dp[n - 1].end(), 0LL) % P;
auto update = [&](int i) {
for (int c = 24; c >= 0; c--) {
upper[i][c] = (upper[i][c + 1] + dp[i][c + 1]) % P;
}
for (int c = 1; c < 26; c++) {
lower[i][c] = (lower[i][c - 1] + dp[i][c - 1]) % P;
}
};
update(n - 1);
for (int i = n - 2; i >= 0; i--) {
vector<int> adj0;
vector<int> adj1;
if (enforce0[i] != -1) {
while (true) {
auto it = s0.upper_bound(i);
if (it == s0.end() || *it > enforce0[i]) break;
adj0.push_back(*it);
s0.erase(it);
}
}
if (enforce1[i] != -1) {
while (true) {
auto it = s1.upper_bound(i);
if (it == s1.end() || *it > enforce1[i]) break;
adj1.push_back(*it);
s1.erase(it);
}
}
for (int c = 0; c < 26; c++) {
dp[i][c] = (dp[i][c] + f) % P;
for (int j : adj0) {
dp[i][c] = (dp[i][c] - upper[j][c] + P) % P;
}
for (int j : adj1) {
dp[i][c] = (dp[i][c] - lower[j][c] + P) % P;
}
}
update(i);
f = accumulate(dp[i].begin(), dp[i].end(), 0LL) % P;
}
cout << f << '\n';
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
344 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 |
344 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 |
1 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
344 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 |
344 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 |
1 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 |
1 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
1 ms |
348 KB |
Output is correct |
20 |
Correct |
1 ms |
348 KB |
Output is correct |
21 |
Correct |
0 ms |
348 KB |
Output is correct |
22 |
Correct |
1 ms |
348 KB |
Output is correct |
23 |
Correct |
1 ms |
348 KB |
Output is correct |
24 |
Correct |
1 ms |
348 KB |
Output is correct |
25 |
Correct |
1 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
576 ms |
253008 KB |
Output is correct |
6 |
Correct |
587 ms |
253012 KB |
Output is correct |
7 |
Correct |
557 ms |
252904 KB |
Output is correct |
8 |
Correct |
568 ms |
252832 KB |
Output is correct |
9 |
Correct |
566 ms |
252900 KB |
Output is correct |
10 |
Correct |
22 ms |
10580 KB |
Output is correct |
11 |
Correct |
1 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
637 ms |
252904 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
344 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 |
344 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 |
1 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 |
1 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
1 ms |
348 KB |
Output is correct |
20 |
Correct |
1 ms |
348 KB |
Output is correct |
21 |
Correct |
0 ms |
348 KB |
Output is correct |
22 |
Correct |
1 ms |
348 KB |
Output is correct |
23 |
Correct |
1 ms |
348 KB |
Output is correct |
24 |
Correct |
1 ms |
348 KB |
Output is correct |
25 |
Correct |
1 ms |
348 KB |
Output is correct |
26 |
Correct |
21 ms |
10328 KB |
Output is correct |
27 |
Correct |
18 ms |
10332 KB |
Output is correct |
28 |
Correct |
18 ms |
10328 KB |
Output is correct |
29 |
Correct |
23 ms |
10328 KB |
Output is correct |
30 |
Correct |
23 ms |
10332 KB |
Output is correct |
31 |
Correct |
76 ms |
10652 KB |
Output is correct |
32 |
Correct |
21 ms |
10332 KB |
Output is correct |
33 |
Correct |
22 ms |
10328 KB |
Output is correct |
34 |
Correct |
23 ms |
10332 KB |
Output is correct |
35 |
Correct |
76 ms |
10320 KB |
Output is correct |
36 |
Correct |
15 ms |
10328 KB |
Output is correct |
37 |
Correct |
23 ms |
10328 KB |
Output is correct |
38 |
Correct |
21 ms |
10332 KB |
Output is correct |
39 |
Correct |
21 ms |
10332 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
1 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
344 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 |
344 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 |
1 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 |
1 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
1 ms |
348 KB |
Output is correct |
20 |
Correct |
1 ms |
348 KB |
Output is correct |
21 |
Correct |
0 ms |
348 KB |
Output is correct |
22 |
Correct |
1 ms |
348 KB |
Output is correct |
23 |
Correct |
1 ms |
348 KB |
Output is correct |
24 |
Correct |
1 ms |
348 KB |
Output is correct |
25 |
Correct |
1 ms |
348 KB |
Output is correct |
26 |
Correct |
0 ms |
344 KB |
Output is correct |
27 |
Correct |
0 ms |
348 KB |
Output is correct |
28 |
Correct |
1 ms |
348 KB |
Output is correct |
29 |
Correct |
1 ms |
348 KB |
Output is correct |
30 |
Correct |
576 ms |
253008 KB |
Output is correct |
31 |
Correct |
587 ms |
253012 KB |
Output is correct |
32 |
Correct |
557 ms |
252904 KB |
Output is correct |
33 |
Correct |
568 ms |
252832 KB |
Output is correct |
34 |
Correct |
566 ms |
252900 KB |
Output is correct |
35 |
Correct |
22 ms |
10580 KB |
Output is correct |
36 |
Correct |
1 ms |
348 KB |
Output is correct |
37 |
Correct |
0 ms |
348 KB |
Output is correct |
38 |
Correct |
637 ms |
252904 KB |
Output is correct |
39 |
Correct |
21 ms |
10328 KB |
Output is correct |
40 |
Correct |
18 ms |
10332 KB |
Output is correct |
41 |
Correct |
18 ms |
10328 KB |
Output is correct |
42 |
Correct |
23 ms |
10328 KB |
Output is correct |
43 |
Correct |
23 ms |
10332 KB |
Output is correct |
44 |
Correct |
76 ms |
10652 KB |
Output is correct |
45 |
Correct |
21 ms |
10332 KB |
Output is correct |
46 |
Correct |
22 ms |
10328 KB |
Output is correct |
47 |
Correct |
23 ms |
10332 KB |
Output is correct |
48 |
Correct |
76 ms |
10320 KB |
Output is correct |
49 |
Correct |
15 ms |
10328 KB |
Output is correct |
50 |
Correct |
23 ms |
10328 KB |
Output is correct |
51 |
Correct |
21 ms |
10332 KB |
Output is correct |
52 |
Correct |
21 ms |
10332 KB |
Output is correct |
53 |
Correct |
538 ms |
252900 KB |
Output is correct |
54 |
Correct |
456 ms |
252900 KB |
Output is correct |
55 |
Correct |
580 ms |
252908 KB |
Output is correct |
56 |
Correct |
583 ms |
252904 KB |
Output is correct |
57 |
Correct |
597 ms |
252772 KB |
Output is correct |
58 |
Correct |
573 ms |
252760 KB |
Output is correct |
59 |
Correct |
561 ms |
252900 KB |
Output is correct |
60 |
Correct |
595 ms |
252672 KB |
Output is correct |
61 |
Correct |
372 ms |
252752 KB |
Output is correct |
62 |
Correct |
564 ms |
252904 KB |
Output is correct |
63 |
Correct |
555 ms |
252904 KB |
Output is correct |
64 |
Correct |
538 ms |
252900 KB |
Output is correct |