| # |
Submission time |
Handle |
Problem |
Language |
Result |
Execution time |
Memory |
| 866290 |
2023-10-25T19:07:32 Z |
Dec0Dedd |
Boat (APIO16_boat) |
C++14 |
|
420 ms |
4448 KB |
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int N = 510;
const int MOD = 1e9+7;
ll a[N], b[N], l[2*N+1], dp[N][2*N+1], iv[N], n;
int main() {
cin>>n;
iv[1]=1;
for (int i=2; i<N; ++i) iv[i]=(iv[MOD%i]*(MOD-MOD/i))%MOD;
vector<int> v;
for (int i=1; i<=n; ++i) {
cin>>a[i]>>b[i];
v.push_back(a[i]), v.push_back(b[i]+1);
}
sort(v.begin(), v.end());
v.erase(unique(v.begin(), v.end()), v.end());
int sz=v.size();
for (int i=1; i<=n; ++i) {
a[i]=upper_bound(v.begin(), v.end(), a[i])-v.begin();
b[i]=upper_bound(v.begin(), v.end(), b[i])-v.begin();
}
for (int i=1; i<sz; ++i) l[i]=v[i]-v[i-1], dp[0][i]=1;
dp[0][0]=1;
for (int i=1; i<=n; ++i) {
for (int j=a[i]; j<=b[i]; ++j) {
dp[i][j]=(1ll*l[j]*dp[i-1][j-1])%MOD;
ll c=1, x=l[j]-1;
for (int k=i-1; k>0; --k) {
if (a[k] > j || b[k] < j) continue;
++c;
(x=(1ll*x*(l[j]+c-2)%MOD)*iv[c])%=MOD;
if (x == 0) break;
(dp[i][j]+=1ll*dp[k-1][j-1]*x)%=MOD;
}
} dp[i][0]=1;
for (int j=1; j<sz; ++j) dp[i][j]=(1ll*dp[i][j]+dp[i-1][j]+dp[i][j-1]-dp[i-1][j-1]+MOD)%MOD;
} cout<<(dp[n][sz-1]-1+MOD)%MOD<<"\n";
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
5 ms |
4444 KB |
Output is correct |
| 2 |
Correct |
5 ms |
4308 KB |
Output is correct |
| 3 |
Correct |
5 ms |
4296 KB |
Output is correct |
| 4 |
Correct |
5 ms |
4252 KB |
Output is correct |
| 5 |
Correct |
5 ms |
4444 KB |
Output is correct |
| 6 |
Correct |
4 ms |
4292 KB |
Output is correct |
| 7 |
Correct |
4 ms |
4292 KB |
Output is correct |
| 8 |
Correct |
5 ms |
4440 KB |
Output is correct |
| 9 |
Correct |
4 ms |
4444 KB |
Output is correct |
| 10 |
Correct |
5 ms |
4352 KB |
Output is correct |
| 11 |
Correct |
4 ms |
4284 KB |
Output is correct |
| 12 |
Correct |
4 ms |
4444 KB |
Output is correct |
| 13 |
Correct |
5 ms |
4444 KB |
Output is correct |
| 14 |
Correct |
5 ms |
4440 KB |
Output is correct |
| 15 |
Correct |
5 ms |
4444 KB |
Output is correct |
| 16 |
Correct |
2 ms |
3556 KB |
Output is correct |
| 17 |
Correct |
2 ms |
3676 KB |
Output is correct |
| 18 |
Correct |
2 ms |
3676 KB |
Output is correct |
| 19 |
Correct |
2 ms |
3676 KB |
Output is correct |
| 20 |
Correct |
2 ms |
3676 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
5 ms |
4444 KB |
Output is correct |
| 2 |
Correct |
5 ms |
4308 KB |
Output is correct |
| 3 |
Correct |
5 ms |
4296 KB |
Output is correct |
| 4 |
Correct |
5 ms |
4252 KB |
Output is correct |
| 5 |
Correct |
5 ms |
4444 KB |
Output is correct |
| 6 |
Correct |
4 ms |
4292 KB |
Output is correct |
| 7 |
Correct |
4 ms |
4292 KB |
Output is correct |
| 8 |
Correct |
5 ms |
4440 KB |
Output is correct |
| 9 |
Correct |
4 ms |
4444 KB |
Output is correct |
| 10 |
Correct |
5 ms |
4352 KB |
Output is correct |
| 11 |
Correct |
4 ms |
4284 KB |
Output is correct |
| 12 |
Correct |
4 ms |
4444 KB |
Output is correct |
| 13 |
Correct |
5 ms |
4444 KB |
Output is correct |
| 14 |
Correct |
5 ms |
4440 KB |
Output is correct |
| 15 |
Correct |
5 ms |
4444 KB |
Output is correct |
| 16 |
Correct |
2 ms |
3556 KB |
Output is correct |
| 17 |
Correct |
2 ms |
3676 KB |
Output is correct |
| 18 |
Correct |
2 ms |
3676 KB |
Output is correct |
| 19 |
Correct |
2 ms |
3676 KB |
Output is correct |
| 20 |
Correct |
2 ms |
3676 KB |
Output is correct |
| 21 |
Correct |
140 ms |
4376 KB |
Output is correct |
| 22 |
Correct |
137 ms |
4316 KB |
Output is correct |
| 23 |
Correct |
125 ms |
4436 KB |
Output is correct |
| 24 |
Correct |
137 ms |
4256 KB |
Output is correct |
| 25 |
Correct |
141 ms |
4432 KB |
Output is correct |
| 26 |
Correct |
284 ms |
4436 KB |
Output is correct |
| 27 |
Correct |
281 ms |
4432 KB |
Output is correct |
| 28 |
Correct |
295 ms |
4400 KB |
Output is correct |
| 29 |
Correct |
300 ms |
4392 KB |
Output is correct |
| 30 |
Correct |
5 ms |
4444 KB |
Output is correct |
| 31 |
Correct |
5 ms |
4276 KB |
Output is correct |
| 32 |
Correct |
5 ms |
4444 KB |
Output is correct |
| 33 |
Correct |
5 ms |
4448 KB |
Output is correct |
| 34 |
Correct |
5 ms |
4444 KB |
Output is correct |
| 35 |
Correct |
5 ms |
4252 KB |
Output is correct |
| 36 |
Correct |
5 ms |
4444 KB |
Output is correct |
| 37 |
Correct |
6 ms |
4248 KB |
Output is correct |
| 38 |
Correct |
5 ms |
4436 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
2592 KB |
Output is correct |
| 2 |
Correct |
2 ms |
2392 KB |
Output is correct |
| 3 |
Correct |
2 ms |
2396 KB |
Output is correct |
| 4 |
Correct |
2 ms |
2396 KB |
Output is correct |
| 5 |
Correct |
2 ms |
2396 KB |
Output is correct |
| 6 |
Correct |
4 ms |
2396 KB |
Output is correct |
| 7 |
Correct |
4 ms |
2396 KB |
Output is correct |
| 8 |
Correct |
4 ms |
2396 KB |
Output is correct |
| 9 |
Correct |
4 ms |
2596 KB |
Output is correct |
| 10 |
Correct |
4 ms |
2396 KB |
Output is correct |
| 11 |
Correct |
2 ms |
2396 KB |
Output is correct |
| 12 |
Correct |
2 ms |
2396 KB |
Output is correct |
| 13 |
Correct |
2 ms |
2644 KB |
Output is correct |
| 14 |
Correct |
2 ms |
2396 KB |
Output is correct |
| 15 |
Correct |
2 ms |
2396 KB |
Output is correct |
| 16 |
Correct |
1 ms |
2400 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 |
2596 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
5 ms |
4444 KB |
Output is correct |
| 2 |
Correct |
5 ms |
4308 KB |
Output is correct |
| 3 |
Correct |
5 ms |
4296 KB |
Output is correct |
| 4 |
Correct |
5 ms |
4252 KB |
Output is correct |
| 5 |
Correct |
5 ms |
4444 KB |
Output is correct |
| 6 |
Correct |
4 ms |
4292 KB |
Output is correct |
| 7 |
Correct |
4 ms |
4292 KB |
Output is correct |
| 8 |
Correct |
5 ms |
4440 KB |
Output is correct |
| 9 |
Correct |
4 ms |
4444 KB |
Output is correct |
| 10 |
Correct |
5 ms |
4352 KB |
Output is correct |
| 11 |
Correct |
4 ms |
4284 KB |
Output is correct |
| 12 |
Correct |
4 ms |
4444 KB |
Output is correct |
| 13 |
Correct |
5 ms |
4444 KB |
Output is correct |
| 14 |
Correct |
5 ms |
4440 KB |
Output is correct |
| 15 |
Correct |
5 ms |
4444 KB |
Output is correct |
| 16 |
Correct |
2 ms |
3556 KB |
Output is correct |
| 17 |
Correct |
2 ms |
3676 KB |
Output is correct |
| 18 |
Correct |
2 ms |
3676 KB |
Output is correct |
| 19 |
Correct |
2 ms |
3676 KB |
Output is correct |
| 20 |
Correct |
2 ms |
3676 KB |
Output is correct |
| 21 |
Correct |
140 ms |
4376 KB |
Output is correct |
| 22 |
Correct |
137 ms |
4316 KB |
Output is correct |
| 23 |
Correct |
125 ms |
4436 KB |
Output is correct |
| 24 |
Correct |
137 ms |
4256 KB |
Output is correct |
| 25 |
Correct |
141 ms |
4432 KB |
Output is correct |
| 26 |
Correct |
284 ms |
4436 KB |
Output is correct |
| 27 |
Correct |
281 ms |
4432 KB |
Output is correct |
| 28 |
Correct |
295 ms |
4400 KB |
Output is correct |
| 29 |
Correct |
300 ms |
4392 KB |
Output is correct |
| 30 |
Correct |
5 ms |
4444 KB |
Output is correct |
| 31 |
Correct |
5 ms |
4276 KB |
Output is correct |
| 32 |
Correct |
5 ms |
4444 KB |
Output is correct |
| 33 |
Correct |
5 ms |
4448 KB |
Output is correct |
| 34 |
Correct |
5 ms |
4444 KB |
Output is correct |
| 35 |
Correct |
5 ms |
4252 KB |
Output is correct |
| 36 |
Correct |
5 ms |
4444 KB |
Output is correct |
| 37 |
Correct |
6 ms |
4248 KB |
Output is correct |
| 38 |
Correct |
5 ms |
4436 KB |
Output is correct |
| 39 |
Correct |
2 ms |
2592 KB |
Output is correct |
| 40 |
Correct |
2 ms |
2392 KB |
Output is correct |
| 41 |
Correct |
2 ms |
2396 KB |
Output is correct |
| 42 |
Correct |
2 ms |
2396 KB |
Output is correct |
| 43 |
Correct |
2 ms |
2396 KB |
Output is correct |
| 44 |
Correct |
4 ms |
2396 KB |
Output is correct |
| 45 |
Correct |
4 ms |
2396 KB |
Output is correct |
| 46 |
Correct |
4 ms |
2396 KB |
Output is correct |
| 47 |
Correct |
4 ms |
2596 KB |
Output is correct |
| 48 |
Correct |
4 ms |
2396 KB |
Output is correct |
| 49 |
Correct |
2 ms |
2396 KB |
Output is correct |
| 50 |
Correct |
2 ms |
2396 KB |
Output is correct |
| 51 |
Correct |
2 ms |
2644 KB |
Output is correct |
| 52 |
Correct |
2 ms |
2396 KB |
Output is correct |
| 53 |
Correct |
2 ms |
2396 KB |
Output is correct |
| 54 |
Correct |
1 ms |
2400 KB |
Output is correct |
| 55 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 56 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 57 |
Correct |
1 ms |
2396 KB |
Output is correct |
| 58 |
Correct |
1 ms |
2596 KB |
Output is correct |
| 59 |
Correct |
184 ms |
4232 KB |
Output is correct |
| 60 |
Correct |
165 ms |
4260 KB |
Output is correct |
| 61 |
Correct |
156 ms |
4448 KB |
Output is correct |
| 62 |
Correct |
187 ms |
4432 KB |
Output is correct |
| 63 |
Correct |
174 ms |
4436 KB |
Output is correct |
| 64 |
Correct |
419 ms |
4256 KB |
Output is correct |
| 65 |
Correct |
417 ms |
4432 KB |
Output is correct |
| 66 |
Correct |
420 ms |
4344 KB |
Output is correct |
| 67 |
Correct |
417 ms |
4236 KB |
Output is correct |
| 68 |
Correct |
419 ms |
4324 KB |
Output is correct |
| 69 |
Correct |
162 ms |
4428 KB |
Output is correct |
| 70 |
Correct |
167 ms |
4320 KB |
Output is correct |
| 71 |
Correct |
166 ms |
4252 KB |
Output is correct |
| 72 |
Correct |
171 ms |
4432 KB |
Output is correct |
| 73 |
Correct |
185 ms |
4304 KB |
Output is correct |
| 74 |
Correct |
21 ms |
3672 KB |
Output is correct |
| 75 |
Correct |
19 ms |
3752 KB |
Output is correct |
| 76 |
Correct |
20 ms |
3676 KB |
Output is correct |
| 77 |
Correct |
21 ms |
3672 KB |
Output is correct |
| 78 |
Correct |
22 ms |
3676 KB |
Output is correct |
