#include<bits/stdc++.h>
using namespace std;
const int N = 505, MOD = 1e9 + 7;
typedef long long ll;
vector<int> val;
typedef array<int, 2> ar;
ar p[N];
ll dp[2 * N][N], inv[N];
int main()
{
int n;
cin >> n;
val = {-1};
for (int i = 1; i <= n; ++i) {
cin >> p[i][0] >> p[i][1];
++p[i][1];
val.push_back(p[i][0]);
val.push_back(p[i][1]);
}
sort(val.begin(), val.end());
val.resize(unique(val.begin(), val.end()) - val.begin());
int w = val.size();
inv[1] = 1;
for (int i = 2; i <= n; ++i)
inv[i] = (MOD - MOD / i) * inv[MOD % i] % MOD;
for (int i = 0; i < w; ++i)
dp[i][0] = 1;
for (int b = 1; b <= n; ++b) {
for (int i = w - 1; i > 0; --i)
if (p[b][0] <= val[i - 1] && val[i] <= p[b][1]) {
int cn = val[i] - val[i - 1];
for (int j = min(cn, b); j >= 1; --j)
(dp[i][j] += dp[i][j - 1] * (cn - j + 1) % MOD * inv[j]) %= MOD;
}
for (int i = 1; i <= w; ++i)
dp[i][0] = accumulate(dp[i - 1], dp[i - 1] + n + 1, 0ll) % MOD;
}
cout << (dp[w][0] + MOD - 1) % MOD << endl;
}
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
156 ms |
4344 KB |
Output is correct |
| 2 |
Correct |
158 ms |
4344 KB |
Output is correct |
| 3 |
Correct |
157 ms |
4216 KB |
Output is correct |
| 4 |
Correct |
156 ms |
4472 KB |
Output is correct |
| 5 |
Correct |
159 ms |
4340 KB |
Output is correct |
| 6 |
Correct |
151 ms |
4344 KB |
Output is correct |
| 7 |
Correct |
153 ms |
4216 KB |
Output is correct |
| 8 |
Correct |
163 ms |
4344 KB |
Output is correct |
| 9 |
Correct |
152 ms |
4216 KB |
Output is correct |
| 10 |
Correct |
157 ms |
4340 KB |
Output is correct |
| 11 |
Correct |
153 ms |
4216 KB |
Output is correct |
| 12 |
Correct |
161 ms |
4344 KB |
Output is correct |
| 13 |
Correct |
154 ms |
4216 KB |
Output is correct |
| 14 |
Correct |
151 ms |
4216 KB |
Output is correct |
| 15 |
Correct |
157 ms |
4344 KB |
Output is correct |
| 16 |
Correct |
31 ms |
1016 KB |
Output is correct |
| 17 |
Correct |
33 ms |
1016 KB |
Output is correct |
| 18 |
Correct |
32 ms |
1016 KB |
Output is correct |
| 19 |
Correct |
33 ms |
1144 KB |
Output is correct |
| 20 |
Correct |
32 ms |
1016 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
156 ms |
4344 KB |
Output is correct |
| 2 |
Correct |
158 ms |
4344 KB |
Output is correct |
| 3 |
Correct |
157 ms |
4216 KB |
Output is correct |
| 4 |
Correct |
156 ms |
4472 KB |
Output is correct |
| 5 |
Correct |
159 ms |
4340 KB |
Output is correct |
| 6 |
Correct |
151 ms |
4344 KB |
Output is correct |
| 7 |
Correct |
153 ms |
4216 KB |
Output is correct |
| 8 |
Correct |
163 ms |
4344 KB |
Output is correct |
| 9 |
Correct |
152 ms |
4216 KB |
Output is correct |
| 10 |
Correct |
157 ms |
4340 KB |
Output is correct |
| 11 |
Correct |
153 ms |
4216 KB |
Output is correct |
| 12 |
Correct |
161 ms |
4344 KB |
Output is correct |
| 13 |
Correct |
154 ms |
4216 KB |
Output is correct |
| 14 |
Correct |
151 ms |
4216 KB |
Output is correct |
| 15 |
Correct |
157 ms |
4344 KB |
Output is correct |
| 16 |
Correct |
31 ms |
1016 KB |
Output is correct |
| 17 |
Correct |
33 ms |
1016 KB |
Output is correct |
| 18 |
Correct |
32 ms |
1016 KB |
Output is correct |
| 19 |
Correct |
33 ms |
1144 KB |
Output is correct |
| 20 |
Correct |
32 ms |
1016 KB |
Output is correct |
| 21 |
Correct |
149 ms |
3960 KB |
Output is correct |
| 22 |
Correct |
154 ms |
4172 KB |
Output is correct |
| 23 |
Correct |
144 ms |
3960 KB |
Output is correct |
| 24 |
Correct |
145 ms |
3832 KB |
Output is correct |
| 25 |
Correct |
155 ms |
3960 KB |
Output is correct |
| 26 |
Correct |
144 ms |
3960 KB |
Output is correct |
| 27 |
Correct |
146 ms |
3832 KB |
Output is correct |
| 28 |
Correct |
141 ms |
3832 KB |
Output is correct |
| 29 |
Correct |
144 ms |
3844 KB |
Output is correct |
| 30 |
Correct |
154 ms |
4216 KB |
Output is correct |
| 31 |
Correct |
154 ms |
4216 KB |
Output is correct |
| 32 |
Correct |
155 ms |
4216 KB |
Output is correct |
| 33 |
Correct |
155 ms |
4216 KB |
Output is correct |
| 34 |
Correct |
151 ms |
4216 KB |
Output is correct |
| 35 |
Correct |
155 ms |
4216 KB |
Output is correct |
| 36 |
Correct |
155 ms |
4216 KB |
Output is correct |
| 37 |
Correct |
158 ms |
4216 KB |
Output is correct |
| 38 |
Correct |
156 ms |
4216 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
8 ms |
1016 KB |
Output is correct |
| 2 |
Correct |
8 ms |
1144 KB |
Output is correct |
| 3 |
Correct |
10 ms |
1144 KB |
Output is correct |
| 4 |
Correct |
8 ms |
1144 KB |
Output is correct |
| 5 |
Correct |
9 ms |
1148 KB |
Output is correct |
| 6 |
Correct |
10 ms |
1144 KB |
Output is correct |
| 7 |
Correct |
9 ms |
1148 KB |
Output is correct |
| 8 |
Correct |
9 ms |
1144 KB |
Output is correct |
| 9 |
Correct |
9 ms |
1144 KB |
Output is correct |
| 10 |
Correct |
9 ms |
1144 KB |
Output is correct |
| 11 |
Correct |
9 ms |
1144 KB |
Output is correct |
| 12 |
Correct |
8 ms |
1144 KB |
Output is correct |
| 13 |
Correct |
8 ms |
1144 KB |
Output is correct |
| 14 |
Correct |
8 ms |
1144 KB |
Output is correct |
| 15 |
Correct |
8 ms |
1144 KB |
Output is correct |
| 16 |
Correct |
7 ms |
760 KB |
Output is correct |
| 17 |
Correct |
6 ms |
760 KB |
Output is correct |
| 18 |
Correct |
7 ms |
760 KB |
Output is correct |
| 19 |
Correct |
7 ms |
760 KB |
Output is correct |
| 20 |
Correct |
7 ms |
760 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
156 ms |
4344 KB |
Output is correct |
| 2 |
Correct |
158 ms |
4344 KB |
Output is correct |
| 3 |
Correct |
157 ms |
4216 KB |
Output is correct |
| 4 |
Correct |
156 ms |
4472 KB |
Output is correct |
| 5 |
Correct |
159 ms |
4340 KB |
Output is correct |
| 6 |
Correct |
151 ms |
4344 KB |
Output is correct |
| 7 |
Correct |
153 ms |
4216 KB |
Output is correct |
| 8 |
Correct |
163 ms |
4344 KB |
Output is correct |
| 9 |
Correct |
152 ms |
4216 KB |
Output is correct |
| 10 |
Correct |
157 ms |
4340 KB |
Output is correct |
| 11 |
Correct |
153 ms |
4216 KB |
Output is correct |
| 12 |
Correct |
161 ms |
4344 KB |
Output is correct |
| 13 |
Correct |
154 ms |
4216 KB |
Output is correct |
| 14 |
Correct |
151 ms |
4216 KB |
Output is correct |
| 15 |
Correct |
157 ms |
4344 KB |
Output is correct |
| 16 |
Correct |
31 ms |
1016 KB |
Output is correct |
| 17 |
Correct |
33 ms |
1016 KB |
Output is correct |
| 18 |
Correct |
32 ms |
1016 KB |
Output is correct |
| 19 |
Correct |
33 ms |
1144 KB |
Output is correct |
| 20 |
Correct |
32 ms |
1016 KB |
Output is correct |
| 21 |
Correct |
149 ms |
3960 KB |
Output is correct |
| 22 |
Correct |
154 ms |
4172 KB |
Output is correct |
| 23 |
Correct |
144 ms |
3960 KB |
Output is correct |
| 24 |
Correct |
145 ms |
3832 KB |
Output is correct |
| 25 |
Correct |
155 ms |
3960 KB |
Output is correct |
| 26 |
Correct |
144 ms |
3960 KB |
Output is correct |
| 27 |
Correct |
146 ms |
3832 KB |
Output is correct |
| 28 |
Correct |
141 ms |
3832 KB |
Output is correct |
| 29 |
Correct |
144 ms |
3844 KB |
Output is correct |
| 30 |
Correct |
154 ms |
4216 KB |
Output is correct |
| 31 |
Correct |
154 ms |
4216 KB |
Output is correct |
| 32 |
Correct |
155 ms |
4216 KB |
Output is correct |
| 33 |
Correct |
155 ms |
4216 KB |
Output is correct |
| 34 |
Correct |
151 ms |
4216 KB |
Output is correct |
| 35 |
Correct |
155 ms |
4216 KB |
Output is correct |
| 36 |
Correct |
155 ms |
4216 KB |
Output is correct |
| 37 |
Correct |
158 ms |
4216 KB |
Output is correct |
| 38 |
Correct |
156 ms |
4216 KB |
Output is correct |
| 39 |
Correct |
8 ms |
1016 KB |
Output is correct |
| 40 |
Correct |
8 ms |
1144 KB |
Output is correct |
| 41 |
Correct |
10 ms |
1144 KB |
Output is correct |
| 42 |
Correct |
8 ms |
1144 KB |
Output is correct |
| 43 |
Correct |
9 ms |
1148 KB |
Output is correct |
| 44 |
Correct |
10 ms |
1144 KB |
Output is correct |
| 45 |
Correct |
9 ms |
1148 KB |
Output is correct |
| 46 |
Correct |
9 ms |
1144 KB |
Output is correct |
| 47 |
Correct |
9 ms |
1144 KB |
Output is correct |
| 48 |
Correct |
9 ms |
1144 KB |
Output is correct |
| 49 |
Correct |
9 ms |
1144 KB |
Output is correct |
| 50 |
Correct |
8 ms |
1144 KB |
Output is correct |
| 51 |
Correct |
8 ms |
1144 KB |
Output is correct |
| 52 |
Correct |
8 ms |
1144 KB |
Output is correct |
| 53 |
Correct |
8 ms |
1144 KB |
Output is correct |
| 54 |
Correct |
7 ms |
760 KB |
Output is correct |
| 55 |
Correct |
6 ms |
760 KB |
Output is correct |
| 56 |
Correct |
7 ms |
760 KB |
Output is correct |
| 57 |
Correct |
7 ms |
760 KB |
Output is correct |
| 58 |
Correct |
7 ms |
760 KB |
Output is correct |
| 59 |
Correct |
343 ms |
4472 KB |
Output is correct |
| 60 |
Correct |
336 ms |
4348 KB |
Output is correct |
| 61 |
Correct |
335 ms |
4472 KB |
Output is correct |
| 62 |
Correct |
350 ms |
4344 KB |
Output is correct |
| 63 |
Correct |
335 ms |
4344 KB |
Output is correct |
| 64 |
Correct |
408 ms |
4344 KB |
Output is correct |
| 65 |
Correct |
438 ms |
4348 KB |
Output is correct |
| 66 |
Correct |
425 ms |
4348 KB |
Output is correct |
| 67 |
Correct |
427 ms |
4472 KB |
Output is correct |
| 68 |
Correct |
414 ms |
4348 KB |
Output is correct |
| 69 |
Correct |
302 ms |
4384 KB |
Output is correct |
| 70 |
Correct |
289 ms |
4344 KB |
Output is correct |
| 71 |
Correct |
315 ms |
4344 KB |
Output is correct |
| 72 |
Correct |
292 ms |
4344 KB |
Output is correct |
| 73 |
Correct |
310 ms |
4344 KB |
Output is correct |
| 74 |
Correct |
51 ms |
1144 KB |
Output is correct |
| 75 |
Correct |
49 ms |
1016 KB |
Output is correct |
| 76 |
Correct |
50 ms |
888 KB |
Output is correct |
| 77 |
Correct |
50 ms |
1016 KB |
Output is correct |
| 78 |
Correct |
50 ms |
1016 KB |
Output is correct |
