#include <bits/stdc++.h>
using namespace std;
const int MOD = 1e9 + 7;
int add (int a, int b) {
a += b; if (a >= MOD) a -= MOD;
return a;
}
int sub (int a, int b) {
a -= b; if (a < 0) a += MOD;
return a;
}
int mul (int a, int b) {
return (a * 1ll * b) % MOD;
}
const int MAXN = 5e5 + 25;
int dp[MAXN][27];
int n, m, type1[MAXN], type2[MAXN];
int main () {
cin >> n >> m;
for (int i = 1; i <= m; i++) {
int a, b;
cin >> a >> b;
int l = min(a, b), r = max(a, b);
if (a > b) {
type1[l] = max(type1[l], r);
} else {
type2[l] = max(type2[l], r);
}
}
for (int i = 0; i < 26; i++) {
dp[1][i] = 1;
}
vector <pair <int, int>> s1, s2;
s1.push_back({1, type1[1]});
s2.push_back({1, type2[1]});
for (int i = 2; i <= n; i++) {
for (int j = 0; j < 26; j++) {
int l = 0, r = (int)s2.size() - 1, ans = -1;
while (l <= r) {
int mid = (l + r) / 2;
if (s2[mid].second >= i) {
l = mid + 1; ans = mid;
} else {
r = mid - 1;
}
}
for (int k = 0; k < j; k++) {
dp[i][j] = add(dp[i][j], sub(dp[i - 1][k], ans == -1 ? 0 : dp[s2[ans].first][k]));
}
l = 0, r = (int)s1.size() - 1, ans = -1;
while (l <= r) {
int mid = (l + r) / 2;
if (s1[mid].second >= i) {
l = mid + 1; ans = mid;
} else {
r = mid - 1;
}
}
for (int k = j + 1; k < 26; k++) {
dp[i][j] = add(dp[i][j], sub(dp[i - 1][k], ans == -1 ? 0 : dp[s1[ans].first][k]));
}
dp[i][j] = add(dp[i][j], dp[i - 1][j]);
}
while (!s1.empty() && s1.back().second < type1[i]) s1.pop_back();
s1.push_back({i, type1[i]});
while (!s2.empty() && s2.back().second < type2[i]) s2.pop_back();
s2.push_back({i, type2[i]});
}
int sum = 0;
for (int i = 0; i < 26; i++) {
sum = add(sum, dp[n][i]);
}
cout << sum << '\n';
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2392 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
0 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 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 |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
1 ms |
2648 KB |
Output is correct |
12 |
Correct |
1 ms |
2392 KB |
Output is correct |
13 |
Correct |
1 ms |
2396 KB |
Output is correct |
14 |
Correct |
1 ms |
2392 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2392 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
0 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 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 |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
1 ms |
2648 KB |
Output is correct |
12 |
Correct |
1 ms |
2392 KB |
Output is correct |
13 |
Correct |
1 ms |
2396 KB |
Output is correct |
14 |
Correct |
1 ms |
2392 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 |
2396 KB |
Output is correct |
18 |
Correct |
1 ms |
2396 KB |
Output is correct |
19 |
Correct |
1 ms |
2396 KB |
Output is correct |
20 |
Correct |
1 ms |
2396 KB |
Output is correct |
21 |
Correct |
1 ms |
2396 KB |
Output is correct |
22 |
Correct |
4 ms |
2392 KB |
Output is correct |
23 |
Correct |
1 ms |
2396 KB |
Output is correct |
24 |
Correct |
1 ms |
2396 KB |
Output is correct |
25 |
Correct |
1 ms |
2396 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 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 |
898 ms |
57160 KB |
Output is correct |
6 |
Correct |
892 ms |
56944 KB |
Output is correct |
7 |
Correct |
902 ms |
57172 KB |
Output is correct |
8 |
Correct |
894 ms |
57180 KB |
Output is correct |
9 |
Correct |
910 ms |
57064 KB |
Output is correct |
10 |
Correct |
35 ms |
4180 KB |
Output is correct |
11 |
Correct |
1 ms |
2392 KB |
Output is correct |
12 |
Correct |
1 ms |
2396 KB |
Output is correct |
13 |
Correct |
1084 ms |
57068 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2392 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
0 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 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 |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
1 ms |
2648 KB |
Output is correct |
12 |
Correct |
1 ms |
2392 KB |
Output is correct |
13 |
Correct |
1 ms |
2396 KB |
Output is correct |
14 |
Correct |
1 ms |
2392 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 |
2396 KB |
Output is correct |
18 |
Correct |
1 ms |
2396 KB |
Output is correct |
19 |
Correct |
1 ms |
2396 KB |
Output is correct |
20 |
Correct |
1 ms |
2396 KB |
Output is correct |
21 |
Correct |
1 ms |
2396 KB |
Output is correct |
22 |
Correct |
4 ms |
2392 KB |
Output is correct |
23 |
Correct |
1 ms |
2396 KB |
Output is correct |
24 |
Correct |
1 ms |
2396 KB |
Output is correct |
25 |
Correct |
1 ms |
2396 KB |
Output is correct |
26 |
Correct |
35 ms |
4184 KB |
Output is correct |
27 |
Correct |
34 ms |
4688 KB |
Output is correct |
28 |
Correct |
34 ms |
4820 KB |
Output is correct |
29 |
Correct |
42 ms |
4544 KB |
Output is correct |
30 |
Correct |
42 ms |
4436 KB |
Output is correct |
31 |
Correct |
215 ms |
9524 KB |
Output is correct |
32 |
Correct |
36 ms |
4436 KB |
Output is correct |
33 |
Correct |
36 ms |
4552 KB |
Output is correct |
34 |
Correct |
44 ms |
4400 KB |
Output is correct |
35 |
Correct |
242 ms |
9528 KB |
Output is correct |
36 |
Correct |
31 ms |
4608 KB |
Output is correct |
37 |
Correct |
44 ms |
4440 KB |
Output is correct |
38 |
Correct |
45 ms |
4744 KB |
Output is correct |
39 |
Correct |
43 ms |
4436 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2392 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
0 ms |
2396 KB |
Output is correct |
4 |
Correct |
1 ms |
2396 KB |
Output is correct |
5 |
Correct |
1 ms |
2396 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 |
2396 KB |
Output is correct |
9 |
Correct |
1 ms |
2396 KB |
Output is correct |
10 |
Correct |
1 ms |
2396 KB |
Output is correct |
11 |
Correct |
1 ms |
2648 KB |
Output is correct |
12 |
Correct |
1 ms |
2392 KB |
Output is correct |
13 |
Correct |
1 ms |
2396 KB |
Output is correct |
14 |
Correct |
1 ms |
2392 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 |
2396 KB |
Output is correct |
18 |
Correct |
1 ms |
2396 KB |
Output is correct |
19 |
Correct |
1 ms |
2396 KB |
Output is correct |
20 |
Correct |
1 ms |
2396 KB |
Output is correct |
21 |
Correct |
1 ms |
2396 KB |
Output is correct |
22 |
Correct |
4 ms |
2392 KB |
Output is correct |
23 |
Correct |
1 ms |
2396 KB |
Output is correct |
24 |
Correct |
1 ms |
2396 KB |
Output is correct |
25 |
Correct |
1 ms |
2396 KB |
Output is correct |
26 |
Correct |
1 ms |
2396 KB |
Output is correct |
27 |
Correct |
1 ms |
2396 KB |
Output is correct |
28 |
Correct |
1 ms |
2396 KB |
Output is correct |
29 |
Correct |
1 ms |
2396 KB |
Output is correct |
30 |
Correct |
898 ms |
57160 KB |
Output is correct |
31 |
Correct |
892 ms |
56944 KB |
Output is correct |
32 |
Correct |
902 ms |
57172 KB |
Output is correct |
33 |
Correct |
894 ms |
57180 KB |
Output is correct |
34 |
Correct |
910 ms |
57064 KB |
Output is correct |
35 |
Correct |
35 ms |
4180 KB |
Output is correct |
36 |
Correct |
1 ms |
2392 KB |
Output is correct |
37 |
Correct |
1 ms |
2396 KB |
Output is correct |
38 |
Correct |
1084 ms |
57068 KB |
Output is correct |
39 |
Correct |
35 ms |
4184 KB |
Output is correct |
40 |
Correct |
34 ms |
4688 KB |
Output is correct |
41 |
Correct |
34 ms |
4820 KB |
Output is correct |
42 |
Correct |
42 ms |
4544 KB |
Output is correct |
43 |
Correct |
42 ms |
4436 KB |
Output is correct |
44 |
Correct |
215 ms |
9524 KB |
Output is correct |
45 |
Correct |
36 ms |
4436 KB |
Output is correct |
46 |
Correct |
36 ms |
4552 KB |
Output is correct |
47 |
Correct |
44 ms |
4400 KB |
Output is correct |
48 |
Correct |
242 ms |
9528 KB |
Output is correct |
49 |
Correct |
31 ms |
4608 KB |
Output is correct |
50 |
Correct |
44 ms |
4440 KB |
Output is correct |
51 |
Correct |
45 ms |
4744 KB |
Output is correct |
52 |
Correct |
43 ms |
4436 KB |
Output is correct |
53 |
Correct |
965 ms |
60736 KB |
Output is correct |
54 |
Correct |
950 ms |
64080 KB |
Output is correct |
55 |
Correct |
1075 ms |
64316 KB |
Output is correct |
56 |
Correct |
1077 ms |
64196 KB |
Output is correct |
57 |
Correct |
912 ms |
63572 KB |
Output is correct |
58 |
Correct |
907 ms |
63912 KB |
Output is correct |
59 |
Correct |
912 ms |
63808 KB |
Output is correct |
60 |
Correct |
1118 ms |
63768 KB |
Output is correct |
61 |
Correct |
914 ms |
62560 KB |
Output is correct |
62 |
Correct |
1087 ms |
61952 KB |
Output is correct |
63 |
Correct |
1072 ms |
60640 KB |
Output is correct |
64 |
Correct |
1090 ms |
59204 KB |
Output is correct |