#include<bits/stdc++.h>
using namespace std;
const int N=505;
const int mod=1e9+7;
int n,l[N],r[N],dp[N][N*2],sum[N][N*2],igt[N],gt[N],ways[N*2][N];
int Power(int x,int n)
{
if(!n) return 1;
if(n%2) return 1ll*Power(x,n-1)*x%mod;
int tmp=Power(x,n/2);
return 1ll*tmp*tmp%mod;
}
void init()
{
gt[0]=1;
for(int i=1;i<=N-5;i++) gt[i]=1ll*gt[i-1]*i%mod;
igt[N-5]=Power(gt[N-5],mod-2);
for(int i=N-5-1;i>=0;i--) igt[i]=1ll*igt[i+1]*(i+1)%mod;
}
int C(int k,int n)
{
if(k<0||k>n) return 0;
if(n<=500) return 1ll*gt[n]*igt[n-k]%mod*igt[k]%mod;
int res=igt[k];
for(int i=n-k+1;i<=n;i++) res=1ll*res*i%mod;
return res;
}
main()
{
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
cin>>n;
init();
vector<int>val;
for(int i=1;i<=n;i++)
{
cin>>l[i]>>r[i];
r[i]++;
val.push_back(l[i]);
val.push_back(r[i]);
}
val.push_back(0);
sort(val.begin(),val.end());
val.erase(unique(val.begin(),val.end()),val.end());
for(int i=1;i<=n;i++)
{
l[i]=lower_bound(val.begin(),val.end(),l[i])-val.begin();
r[i]=lower_bound(val.begin(),val.end(),r[i])-val.begin();
}
int sz=val.size()-1;
for(int i=1;i<=sz-1;i++)
{
int cur=C(1,val[i+1]-val[i]);
for(int k=1;k<=n;k++)
{
for(int j=k;j<=n;j++) ways[i][j]=(ways[i][j]+1ll*cur*C(k-1,j-1)%mod)%mod;
cur=1ll*cur*(n-k)%mod;
cur=1ll*cur*Power(k+1,mod-2)%mod;
}
}
int res=0;
dp[0][0]=1;
for(int j=0;j<=sz-1;j++) sum[0][j]=1;
for(int i=1;i<=n;i++)
{
for(int j=l[i];j<r[i];j++)
{
int cnt=0;
for(int k=i;k>=1;k--)
{
if(val[l[k]]<=val[j]&&val[j+1]<=val[r[k]]);
else cnt++;
dp[i][j]=(dp[i][j]+1ll*sum[k-1][j-1]*ways[j][i-k+1-cnt]%mod)%mod;
}
}
for(int j=1;j<=sz-1;j++)
{
sum[i][j]=(sum[i][j-1]+dp[i][j])%mod;
}
res=(res+sum[i][sz-1])%mod;
}
cout<<res;
}
Compilation message
boat.cpp:33:6: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
33 | main()
| ^
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1699 ms |
6140 KB |
Output is correct |
2 |
Correct |
1688 ms |
6136 KB |
Output is correct |
3 |
Correct |
1685 ms |
6136 KB |
Output is correct |
4 |
Correct |
1689 ms |
6068 KB |
Output is correct |
5 |
Correct |
1690 ms |
6136 KB |
Output is correct |
6 |
Correct |
1683 ms |
6520 KB |
Output is correct |
7 |
Correct |
1697 ms |
6564 KB |
Output is correct |
8 |
Correct |
1683 ms |
6264 KB |
Output is correct |
9 |
Correct |
1687 ms |
6444 KB |
Output is correct |
10 |
Correct |
1694 ms |
6264 KB |
Output is correct |
11 |
Correct |
1689 ms |
6596 KB |
Output is correct |
12 |
Correct |
1700 ms |
6520 KB |
Output is correct |
13 |
Correct |
1716 ms |
6392 KB |
Output is correct |
14 |
Correct |
1694 ms |
6520 KB |
Output is correct |
15 |
Correct |
1707 ms |
6264 KB |
Output is correct |
16 |
Incorrect |
299 ms |
4600 KB |
Output isn't correct |
17 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1699 ms |
6140 KB |
Output is correct |
2 |
Correct |
1688 ms |
6136 KB |
Output is correct |
3 |
Correct |
1685 ms |
6136 KB |
Output is correct |
4 |
Correct |
1689 ms |
6068 KB |
Output is correct |
5 |
Correct |
1690 ms |
6136 KB |
Output is correct |
6 |
Correct |
1683 ms |
6520 KB |
Output is correct |
7 |
Correct |
1697 ms |
6564 KB |
Output is correct |
8 |
Correct |
1683 ms |
6264 KB |
Output is correct |
9 |
Correct |
1687 ms |
6444 KB |
Output is correct |
10 |
Correct |
1694 ms |
6264 KB |
Output is correct |
11 |
Correct |
1689 ms |
6596 KB |
Output is correct |
12 |
Correct |
1700 ms |
6520 KB |
Output is correct |
13 |
Correct |
1716 ms |
6392 KB |
Output is correct |
14 |
Correct |
1694 ms |
6520 KB |
Output is correct |
15 |
Correct |
1707 ms |
6264 KB |
Output is correct |
16 |
Incorrect |
299 ms |
4600 KB |
Output isn't correct |
17 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
23 ms |
1568 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1699 ms |
6140 KB |
Output is correct |
2 |
Correct |
1688 ms |
6136 KB |
Output is correct |
3 |
Correct |
1685 ms |
6136 KB |
Output is correct |
4 |
Correct |
1689 ms |
6068 KB |
Output is correct |
5 |
Correct |
1690 ms |
6136 KB |
Output is correct |
6 |
Correct |
1683 ms |
6520 KB |
Output is correct |
7 |
Correct |
1697 ms |
6564 KB |
Output is correct |
8 |
Correct |
1683 ms |
6264 KB |
Output is correct |
9 |
Correct |
1687 ms |
6444 KB |
Output is correct |
10 |
Correct |
1694 ms |
6264 KB |
Output is correct |
11 |
Correct |
1689 ms |
6596 KB |
Output is correct |
12 |
Correct |
1700 ms |
6520 KB |
Output is correct |
13 |
Correct |
1716 ms |
6392 KB |
Output is correct |
14 |
Correct |
1694 ms |
6520 KB |
Output is correct |
15 |
Correct |
1707 ms |
6264 KB |
Output is correct |
16 |
Incorrect |
299 ms |
4600 KB |
Output isn't correct |
17 |
Halted |
0 ms |
0 KB |
- |