#include<bits/stdc++.h>
using namespace std;
#define int long long
#define ii pair <int, int>
#define app push_back
#define all(a) a.begin(), a.end()
#define bp __builtin_popcount
#define ll long long
#define mp make_pair
#define f first
#define s second
#define Time (double)clock()/CLOCKS_PER_SEC
const int N = 1007, MOD = 1000 * 1000 * 1000 + 7;
int mod(int n) {
n %= MOD;
if (n < 0) return n + MOD;
else return n;
}
int fp(int a, int p) {
int ans = 1, c = a;
for (int i = 0; (1ll << i) <= p; ++i) {
if ((p >> i) & 1) ans = mod(ans * c);
c = mod(c * c);
}
return ans;
}
int dv(int a, int b) { return mod(a * fp(b, MOD - 2)); }
void addmod(int &a, int b) {
a = mod(a + b);
}
int C(int n, int k) {
if (n < k)
return 0;
int a = 1;
for (int i = n; i > n - k; --i)
a = mod(a * i);
int b = 1;
for (int i = 1; i <= k; ++i)
b = mod(b * i);
return dv(a, b);
}
int n, l[N], r[N], dp[N][N], mem[N][N], cur[N];
signed main() {
#ifdef HOME
freopen("input.txt", "r", stdin);
#else
ios_base::sync_with_stdio(0); cin.tie(0);
#endif
for (int i = 0; i < N; ++i)
mem[i][0] = 1;
for (int i = 1; i < N; ++i)
for (int j = 1; j < N; ++j)
mem[i][j] = mod(mem[i - 1][j] + mem[i - 1][j - 1]);
cin >> n;
vector <int> c;
for (int i = 1; i <= n; ++i) {
cin >> l[i] >> r[i];
c.app(l[i]); c.app(r[i] + 1);
}
sort(all(c));
c.resize(unique(all(c)) - c.begin());
dp[0][0] = 1;
for (int i = 0; i + 1 < (int)c.size(); ++i) {
for (int j = 0; j <= n; ++j)
cur[j] = C(c[i + 1] - c[i], j);
for (int j = 0; j <= n; ++j) {
addmod(dp[i + 1][j], dp[i][j]);
for (int k = j + 1; k <= n; ++k) {
if (l[k] <= c[i] && c[i + 1] - 1 <= r[k]) {
int mx = 0;
for (int t = j + 1; t <= k; ++t)
mx += l[t] <= c[i] && c[i + 1] - 1 <= r[t];
for (int cnt = 1; cnt <= mx; ++cnt)
addmod(dp[i + 1][k], mod(dp[i][j] * mem[mx - 1][cnt - 1]) * cur[cnt]);
}
}
}
}
int ans = 0;
for (int i = 1; i <= n; ++i)
addmod(ans, dp[c.size() - 1][i]);
cout << ans << '\n';
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1111 ms |
16308 KB |
Output is correct |
2 |
Correct |
1105 ms |
16376 KB |
Output is correct |
3 |
Correct |
1115 ms |
16352 KB |
Output is correct |
4 |
Correct |
1115 ms |
16236 KB |
Output is correct |
5 |
Correct |
1128 ms |
16248 KB |
Output is correct |
6 |
Correct |
1053 ms |
16248 KB |
Output is correct |
7 |
Correct |
1038 ms |
16364 KB |
Output is correct |
8 |
Correct |
1046 ms |
16236 KB |
Output is correct |
9 |
Correct |
1048 ms |
16232 KB |
Output is correct |
10 |
Correct |
1036 ms |
16248 KB |
Output is correct |
11 |
Correct |
1031 ms |
16248 KB |
Output is correct |
12 |
Correct |
1041 ms |
16376 KB |
Output is correct |
13 |
Correct |
1035 ms |
16376 KB |
Output is correct |
14 |
Correct |
1033 ms |
16248 KB |
Output is correct |
15 |
Correct |
1024 ms |
16140 KB |
Output is correct |
16 |
Correct |
239 ms |
9720 KB |
Output is correct |
17 |
Correct |
251 ms |
9952 KB |
Output is correct |
18 |
Correct |
244 ms |
9720 KB |
Output is correct |
19 |
Correct |
258 ms |
9936 KB |
Output is correct |
20 |
Correct |
247 ms |
9720 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1111 ms |
16308 KB |
Output is correct |
2 |
Correct |
1105 ms |
16376 KB |
Output is correct |
3 |
Correct |
1115 ms |
16352 KB |
Output is correct |
4 |
Correct |
1115 ms |
16236 KB |
Output is correct |
5 |
Correct |
1128 ms |
16248 KB |
Output is correct |
6 |
Correct |
1053 ms |
16248 KB |
Output is correct |
7 |
Correct |
1038 ms |
16364 KB |
Output is correct |
8 |
Correct |
1046 ms |
16236 KB |
Output is correct |
9 |
Correct |
1048 ms |
16232 KB |
Output is correct |
10 |
Correct |
1036 ms |
16248 KB |
Output is correct |
11 |
Correct |
1031 ms |
16248 KB |
Output is correct |
12 |
Correct |
1041 ms |
16376 KB |
Output is correct |
13 |
Correct |
1035 ms |
16376 KB |
Output is correct |
14 |
Correct |
1033 ms |
16248 KB |
Output is correct |
15 |
Correct |
1024 ms |
16140 KB |
Output is correct |
16 |
Correct |
239 ms |
9720 KB |
Output is correct |
17 |
Correct |
251 ms |
9952 KB |
Output is correct |
18 |
Correct |
244 ms |
9720 KB |
Output is correct |
19 |
Correct |
258 ms |
9936 KB |
Output is correct |
20 |
Correct |
247 ms |
9720 KB |
Output is correct |
21 |
Execution timed out |
2078 ms |
9964 KB |
Time limit exceeded |
22 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
78 ms |
9208 KB |
Output is correct |
2 |
Correct |
69 ms |
9208 KB |
Output is correct |
3 |
Correct |
74 ms |
9208 KB |
Output is correct |
4 |
Correct |
82 ms |
9336 KB |
Output is correct |
5 |
Correct |
84 ms |
9336 KB |
Output is correct |
6 |
Correct |
128 ms |
9336 KB |
Output is correct |
7 |
Correct |
120 ms |
9208 KB |
Output is correct |
8 |
Correct |
125 ms |
9336 KB |
Output is correct |
9 |
Correct |
129 ms |
9208 KB |
Output is correct |
10 |
Correct |
125 ms |
9228 KB |
Output is correct |
11 |
Correct |
73 ms |
9300 KB |
Output is correct |
12 |
Correct |
60 ms |
9208 KB |
Output is correct |
13 |
Correct |
61 ms |
9336 KB |
Output is correct |
14 |
Correct |
66 ms |
9208 KB |
Output is correct |
15 |
Correct |
74 ms |
9208 KB |
Output is correct |
16 |
Correct |
51 ms |
8952 KB |
Output is correct |
17 |
Correct |
46 ms |
8824 KB |
Output is correct |
18 |
Correct |
48 ms |
8824 KB |
Output is correct |
19 |
Correct |
48 ms |
8828 KB |
Output is correct |
20 |
Correct |
56 ms |
8824 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1111 ms |
16308 KB |
Output is correct |
2 |
Correct |
1105 ms |
16376 KB |
Output is correct |
3 |
Correct |
1115 ms |
16352 KB |
Output is correct |
4 |
Correct |
1115 ms |
16236 KB |
Output is correct |
5 |
Correct |
1128 ms |
16248 KB |
Output is correct |
6 |
Correct |
1053 ms |
16248 KB |
Output is correct |
7 |
Correct |
1038 ms |
16364 KB |
Output is correct |
8 |
Correct |
1046 ms |
16236 KB |
Output is correct |
9 |
Correct |
1048 ms |
16232 KB |
Output is correct |
10 |
Correct |
1036 ms |
16248 KB |
Output is correct |
11 |
Correct |
1031 ms |
16248 KB |
Output is correct |
12 |
Correct |
1041 ms |
16376 KB |
Output is correct |
13 |
Correct |
1035 ms |
16376 KB |
Output is correct |
14 |
Correct |
1033 ms |
16248 KB |
Output is correct |
15 |
Correct |
1024 ms |
16140 KB |
Output is correct |
16 |
Correct |
239 ms |
9720 KB |
Output is correct |
17 |
Correct |
251 ms |
9952 KB |
Output is correct |
18 |
Correct |
244 ms |
9720 KB |
Output is correct |
19 |
Correct |
258 ms |
9936 KB |
Output is correct |
20 |
Correct |
247 ms |
9720 KB |
Output is correct |
21 |
Execution timed out |
2078 ms |
9964 KB |
Time limit exceeded |
22 |
Halted |
0 ms |
0 KB |
- |