#include<bits/stdc++.h>
#define fi first
#define se second
using namespace std;
typedef long long ll;
typedef vector<int> vi;
typedef vector<ll> vl;
const int N=5e2+10;
const ll mod=1e9+7;
struct st{
int a,b,dl;
};
st pw[N*2];
ll dp[N][N*2];
ll dp2[N*2][N];
ll dp3[N*2][N];
pair<int,int>w[N];
ll sil[N],sp[N][N*2];
ll d1[N][N],d2[N*2][N];
ll power(ll n,ll k){
ll res=1;
while(k>0){
if(k&1) (res*=n)%=mod;
k>>=1;
(n*=n)%=mod;
}
return res;
}
ll dwu(ll n,ll k){
if(k>n) return 0;
ll curr=1;
for(int i=n;i>=n-k+1;i--) (curr*=(ll)i)%=mod;
return (curr*power(sil[k],mod-2))%mod;
}
void solve(){
int n;
cin>>n;
vi v;
for(int i=1;i<=n;i++){
cin>>w[i].fi>>w[i].se;
v.push_back(w[i].fi),v.push_back(w[i].se+1);
}
sort(v.begin(),v.end());
int l=0;
for(int i=0;i<v.size()-1;i++){
if(v[i]==v[i+1]) continue;
st pom;
pom.a=v[i],pom.b=v[i+1]-1,pom.dl=(pom.b-pom.a+1);
pw[++l]=pom;
}
sil[0]=1;
for(int i=1;i<=n;i++) (sil[i]=sil[i-1]*(ll)i)%=mod;
for(int i=1;i<=n;i++)
for(int j=1;j<=i;j++) d1[i][j]=dwu(i,j);
for(int i=1;i<=l;i++)
for(int j=1;j<=n;j++) d2[i][j]=dwu(pw[i].dl,j);
for(int i=1;i<=l;i++){
for(int j=1;j<=n;j++){
dp2[i][j]=pw[i].dl;
for(int k=min(j,pw[i].dl);k>=2;k--) (dp2[i][j]+=d1[j-1][k-1]*d2[i][k])%=mod;
}
}
for(int i=1;i<=l;i++){
for(int j=2;j<=n;j++){
if(pw[i].dl==1) continue;
dp3[i][j]=(ll)(pw[i].dl*(pw[i].dl-1LL))/2;
dp3[i][j]%=mod;
for(int k=min(j,pw[i].dl);k>=3;k--) (dp3[i][j]+=d1[j-2][k-2]*d2[i][k])%=mod;
}
}
ll res=0;
for(int i=1;i<=n;i++){
for(int j=1;j<=l;j++){
if(pw[j].b<w[i].fi or pw[j].a>w[i].se) continue;
dp[i][j]=pw[j].dl;
int il=1;
for(int k=i-1;k>=1;k--){
(dp[i][j]+=sp[k][j-1]*dp2[j][il])%=mod;
if(pw[j].a>=w[k].fi and pw[j].b<=w[k].se){
il++;
(dp[i][j]+=dp3[j][il])%=mod;
}
}
(res+=dp[i][j])%=mod;
}
for(int j=1;j<=l;j++) sp[i][j]=(sp[i][j-1]+dp[i][j])%mod;
}
cout<<res<<"\n";
}
int main(){
ios_base::sync_with_stdio(0),cin.tie(0);
solve();
}
Compilation message
boat.cpp: In function 'void solve()':
boat.cpp:45:15: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
45 | for(int i=0;i<v.size()-1;i++){
| ~^~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
884 ms |
20240 KB |
Output is correct |
2 |
Correct |
898 ms |
20132 KB |
Output is correct |
3 |
Correct |
892 ms |
20152 KB |
Output is correct |
4 |
Correct |
898 ms |
20216 KB |
Output is correct |
5 |
Correct |
893 ms |
20084 KB |
Output is correct |
6 |
Correct |
884 ms |
20172 KB |
Output is correct |
7 |
Correct |
889 ms |
20300 KB |
Output is correct |
8 |
Correct |
895 ms |
20180 KB |
Output is correct |
9 |
Correct |
908 ms |
20172 KB |
Output is correct |
10 |
Correct |
892 ms |
20220 KB |
Output is correct |
11 |
Correct |
893 ms |
20252 KB |
Output is correct |
12 |
Correct |
897 ms |
20248 KB |
Output is correct |
13 |
Correct |
892 ms |
20172 KB |
Output is correct |
14 |
Correct |
893 ms |
20340 KB |
Output is correct |
15 |
Correct |
920 ms |
20304 KB |
Output is correct |
16 |
Correct |
247 ms |
9028 KB |
Output is correct |
17 |
Correct |
251 ms |
9324 KB |
Output is correct |
18 |
Correct |
255 ms |
9156 KB |
Output is correct |
19 |
Correct |
249 ms |
9284 KB |
Output is correct |
20 |
Correct |
253 ms |
9188 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
884 ms |
20240 KB |
Output is correct |
2 |
Correct |
898 ms |
20132 KB |
Output is correct |
3 |
Correct |
892 ms |
20152 KB |
Output is correct |
4 |
Correct |
898 ms |
20216 KB |
Output is correct |
5 |
Correct |
893 ms |
20084 KB |
Output is correct |
6 |
Correct |
884 ms |
20172 KB |
Output is correct |
7 |
Correct |
889 ms |
20300 KB |
Output is correct |
8 |
Correct |
895 ms |
20180 KB |
Output is correct |
9 |
Correct |
908 ms |
20172 KB |
Output is correct |
10 |
Correct |
892 ms |
20220 KB |
Output is correct |
11 |
Correct |
893 ms |
20252 KB |
Output is correct |
12 |
Correct |
897 ms |
20248 KB |
Output is correct |
13 |
Correct |
892 ms |
20172 KB |
Output is correct |
14 |
Correct |
893 ms |
20340 KB |
Output is correct |
15 |
Correct |
920 ms |
20304 KB |
Output is correct |
16 |
Correct |
247 ms |
9028 KB |
Output is correct |
17 |
Correct |
251 ms |
9324 KB |
Output is correct |
18 |
Correct |
255 ms |
9156 KB |
Output is correct |
19 |
Correct |
249 ms |
9284 KB |
Output is correct |
20 |
Correct |
253 ms |
9188 KB |
Output is correct |
21 |
Correct |
375 ms |
20304 KB |
Output is correct |
22 |
Correct |
382 ms |
20096 KB |
Output is correct |
23 |
Correct |
360 ms |
19940 KB |
Output is correct |
24 |
Correct |
379 ms |
20016 KB |
Output is correct |
25 |
Correct |
376 ms |
20200 KB |
Output is correct |
26 |
Correct |
510 ms |
20276 KB |
Output is correct |
27 |
Correct |
515 ms |
20508 KB |
Output is correct |
28 |
Correct |
522 ms |
20284 KB |
Output is correct |
29 |
Correct |
510 ms |
20280 KB |
Output is correct |
30 |
Correct |
831 ms |
20284 KB |
Output is correct |
31 |
Correct |
851 ms |
20272 KB |
Output is correct |
32 |
Correct |
858 ms |
20240 KB |
Output is correct |
33 |
Correct |
845 ms |
20196 KB |
Output is correct |
34 |
Correct |
823 ms |
20276 KB |
Output is correct |
35 |
Correct |
839 ms |
20152 KB |
Output is correct |
36 |
Correct |
826 ms |
20236 KB |
Output is correct |
37 |
Correct |
849 ms |
20152 KB |
Output is correct |
38 |
Correct |
832 ms |
20156 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
19 ms |
4172 KB |
Output is correct |
2 |
Correct |
21 ms |
4168 KB |
Output is correct |
3 |
Correct |
20 ms |
4168 KB |
Output is correct |
4 |
Correct |
21 ms |
4272 KB |
Output is correct |
5 |
Correct |
19 ms |
4164 KB |
Output is correct |
6 |
Correct |
22 ms |
4192 KB |
Output is correct |
7 |
Correct |
21 ms |
4204 KB |
Output is correct |
8 |
Correct |
23 ms |
4176 KB |
Output is correct |
9 |
Correct |
20 ms |
4140 KB |
Output is correct |
10 |
Correct |
21 ms |
4196 KB |
Output is correct |
11 |
Correct |
19 ms |
4172 KB |
Output is correct |
12 |
Correct |
20 ms |
4056 KB |
Output is correct |
13 |
Correct |
19 ms |
4168 KB |
Output is correct |
14 |
Correct |
19 ms |
4128 KB |
Output is correct |
15 |
Correct |
19 ms |
4176 KB |
Output is correct |
16 |
Correct |
13 ms |
2896 KB |
Output is correct |
17 |
Correct |
10 ms |
2896 KB |
Output is correct |
18 |
Correct |
10 ms |
2896 KB |
Output is correct |
19 |
Correct |
10 ms |
2896 KB |
Output is correct |
20 |
Correct |
11 ms |
2856 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
884 ms |
20240 KB |
Output is correct |
2 |
Correct |
898 ms |
20132 KB |
Output is correct |
3 |
Correct |
892 ms |
20152 KB |
Output is correct |
4 |
Correct |
898 ms |
20216 KB |
Output is correct |
5 |
Correct |
893 ms |
20084 KB |
Output is correct |
6 |
Correct |
884 ms |
20172 KB |
Output is correct |
7 |
Correct |
889 ms |
20300 KB |
Output is correct |
8 |
Correct |
895 ms |
20180 KB |
Output is correct |
9 |
Correct |
908 ms |
20172 KB |
Output is correct |
10 |
Correct |
892 ms |
20220 KB |
Output is correct |
11 |
Correct |
893 ms |
20252 KB |
Output is correct |
12 |
Correct |
897 ms |
20248 KB |
Output is correct |
13 |
Correct |
892 ms |
20172 KB |
Output is correct |
14 |
Correct |
893 ms |
20340 KB |
Output is correct |
15 |
Correct |
920 ms |
20304 KB |
Output is correct |
16 |
Correct |
247 ms |
9028 KB |
Output is correct |
17 |
Correct |
251 ms |
9324 KB |
Output is correct |
18 |
Correct |
255 ms |
9156 KB |
Output is correct |
19 |
Correct |
249 ms |
9284 KB |
Output is correct |
20 |
Correct |
253 ms |
9188 KB |
Output is correct |
21 |
Correct |
375 ms |
20304 KB |
Output is correct |
22 |
Correct |
382 ms |
20096 KB |
Output is correct |
23 |
Correct |
360 ms |
19940 KB |
Output is correct |
24 |
Correct |
379 ms |
20016 KB |
Output is correct |
25 |
Correct |
376 ms |
20200 KB |
Output is correct |
26 |
Correct |
510 ms |
20276 KB |
Output is correct |
27 |
Correct |
515 ms |
20508 KB |
Output is correct |
28 |
Correct |
522 ms |
20284 KB |
Output is correct |
29 |
Correct |
510 ms |
20280 KB |
Output is correct |
30 |
Correct |
831 ms |
20284 KB |
Output is correct |
31 |
Correct |
851 ms |
20272 KB |
Output is correct |
32 |
Correct |
858 ms |
20240 KB |
Output is correct |
33 |
Correct |
845 ms |
20196 KB |
Output is correct |
34 |
Correct |
823 ms |
20276 KB |
Output is correct |
35 |
Correct |
839 ms |
20152 KB |
Output is correct |
36 |
Correct |
826 ms |
20236 KB |
Output is correct |
37 |
Correct |
849 ms |
20152 KB |
Output is correct |
38 |
Correct |
832 ms |
20156 KB |
Output is correct |
39 |
Correct |
19 ms |
4172 KB |
Output is correct |
40 |
Correct |
21 ms |
4168 KB |
Output is correct |
41 |
Correct |
20 ms |
4168 KB |
Output is correct |
42 |
Correct |
21 ms |
4272 KB |
Output is correct |
43 |
Correct |
19 ms |
4164 KB |
Output is correct |
44 |
Correct |
22 ms |
4192 KB |
Output is correct |
45 |
Correct |
21 ms |
4204 KB |
Output is correct |
46 |
Correct |
23 ms |
4176 KB |
Output is correct |
47 |
Correct |
20 ms |
4140 KB |
Output is correct |
48 |
Correct |
21 ms |
4196 KB |
Output is correct |
49 |
Correct |
19 ms |
4172 KB |
Output is correct |
50 |
Correct |
20 ms |
4056 KB |
Output is correct |
51 |
Correct |
19 ms |
4168 KB |
Output is correct |
52 |
Correct |
19 ms |
4128 KB |
Output is correct |
53 |
Correct |
19 ms |
4176 KB |
Output is correct |
54 |
Correct |
13 ms |
2896 KB |
Output is correct |
55 |
Correct |
10 ms |
2896 KB |
Output is correct |
56 |
Correct |
10 ms |
2896 KB |
Output is correct |
57 |
Correct |
10 ms |
2896 KB |
Output is correct |
58 |
Correct |
11 ms |
2856 KB |
Output is correct |
59 |
Correct |
1960 ms |
21516 KB |
Output is correct |
60 |
Correct |
1910 ms |
21348 KB |
Output is correct |
61 |
Correct |
1882 ms |
21284 KB |
Output is correct |
62 |
Correct |
1931 ms |
21472 KB |
Output is correct |
63 |
Execution timed out |
2009 ms |
21360 KB |
Time limit exceeded |
64 |
Halted |
0 ms |
0 KB |
- |