#include<bits/stdc++.h>
using namespace std;
int mod=1e9+7;
const int maxn=501;
long long dp[maxn*3][maxn];
long long ps[maxn*3];
int rev[maxn+10];
long long mypow(long long m,long long y){
if(y==0){
return 1;
}
long long p=mypow(m,(y>>1));
p*=p;
p%=mod;
if(y&1){
p*=m;
p%=mod;
}
return p;
}
int main(){
ios::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int n;
cin>>n;
for(int i=0;i<=n+5;i++){
rev[i]=mypow(i,mod-2);
}
vector<pair<int,int>>all(n+1);
vector<int>allind;
for(int i=1;i<=n;i++){
cin>>all[i].first>>all[i].second;
allind.push_back(all[i].first);
allind.push_back(all[i].second);
allind.push_back(all[i].first-1);
}
allind.push_back(0);
sort(allind.begin(),allind.end());
allind.resize(unique(allind.begin(),allind.end())-allind.begin());
int sz=(int)allind.size()+1;
dp[0][0]=1;
for(int i=0;i<sz+10;i++){
ps[i]=1;
}
for(int i=1;i<=n;i++){
int l=lower_bound(allind.begin(),allind.end(),all[i].first)-allind.begin();
int r=lower_bound(allind.begin(),allind.end(),all[i].second)-allind.begin();
for(int j=l;j<=r;j++){
int cnt=allind[j]-allind[j-1];
for(int h=n;h>=2;h--){
dp[j][h]=(dp[j][h]+dp[j][h-1]*(cnt-(h-1)))%mod*rev[h]%mod;
}
dp[j][1]=(dp[j][1]+ps[j-1]*cnt)%mod;
}
ps[0]=dp[0][0];
for(int i=1;i<=sz+9;i++){
ps[i]=ps[i-1];
for(int h=0;h<=n;h++){
ps[i]+=dp[i][h];
}
ps[i]%=mod;
}
}
long long res=ps[sz+8];
res+=mod-1;
res%=mod;
cout<<res<<"\n";
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
134 ms |
4172 KB |
Output is correct |
2 |
Correct |
193 ms |
4220 KB |
Output is correct |
3 |
Correct |
136 ms |
4232 KB |
Output is correct |
4 |
Correct |
131 ms |
4164 KB |
Output is correct |
5 |
Correct |
134 ms |
4252 KB |
Output is correct |
6 |
Correct |
132 ms |
4260 KB |
Output is correct |
7 |
Correct |
130 ms |
4172 KB |
Output is correct |
8 |
Correct |
128 ms |
4228 KB |
Output is correct |
9 |
Correct |
132 ms |
4260 KB |
Output is correct |
10 |
Correct |
140 ms |
4224 KB |
Output is correct |
11 |
Correct |
138 ms |
4252 KB |
Output is correct |
12 |
Correct |
145 ms |
4172 KB |
Output is correct |
13 |
Correct |
144 ms |
4208 KB |
Output is correct |
14 |
Correct |
128 ms |
4196 KB |
Output is correct |
15 |
Correct |
143 ms |
4336 KB |
Output is correct |
16 |
Correct |
30 ms |
1024 KB |
Output is correct |
17 |
Correct |
32 ms |
1068 KB |
Output is correct |
18 |
Correct |
27 ms |
1024 KB |
Output is correct |
19 |
Correct |
40 ms |
1088 KB |
Output is correct |
20 |
Correct |
39 ms |
1016 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
134 ms |
4172 KB |
Output is correct |
2 |
Correct |
193 ms |
4220 KB |
Output is correct |
3 |
Correct |
136 ms |
4232 KB |
Output is correct |
4 |
Correct |
131 ms |
4164 KB |
Output is correct |
5 |
Correct |
134 ms |
4252 KB |
Output is correct |
6 |
Correct |
132 ms |
4260 KB |
Output is correct |
7 |
Correct |
130 ms |
4172 KB |
Output is correct |
8 |
Correct |
128 ms |
4228 KB |
Output is correct |
9 |
Correct |
132 ms |
4260 KB |
Output is correct |
10 |
Correct |
140 ms |
4224 KB |
Output is correct |
11 |
Correct |
138 ms |
4252 KB |
Output is correct |
12 |
Correct |
145 ms |
4172 KB |
Output is correct |
13 |
Correct |
144 ms |
4208 KB |
Output is correct |
14 |
Correct |
128 ms |
4196 KB |
Output is correct |
15 |
Correct |
143 ms |
4336 KB |
Output is correct |
16 |
Correct |
30 ms |
1024 KB |
Output is correct |
17 |
Correct |
32 ms |
1068 KB |
Output is correct |
18 |
Correct |
27 ms |
1024 KB |
Output is correct |
19 |
Correct |
40 ms |
1088 KB |
Output is correct |
20 |
Correct |
39 ms |
1016 KB |
Output is correct |
21 |
Incorrect |
1230 ms |
5536 KB |
Output isn't correct |
22 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
16 ms |
1492 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
134 ms |
4172 KB |
Output is correct |
2 |
Correct |
193 ms |
4220 KB |
Output is correct |
3 |
Correct |
136 ms |
4232 KB |
Output is correct |
4 |
Correct |
131 ms |
4164 KB |
Output is correct |
5 |
Correct |
134 ms |
4252 KB |
Output is correct |
6 |
Correct |
132 ms |
4260 KB |
Output is correct |
7 |
Correct |
130 ms |
4172 KB |
Output is correct |
8 |
Correct |
128 ms |
4228 KB |
Output is correct |
9 |
Correct |
132 ms |
4260 KB |
Output is correct |
10 |
Correct |
140 ms |
4224 KB |
Output is correct |
11 |
Correct |
138 ms |
4252 KB |
Output is correct |
12 |
Correct |
145 ms |
4172 KB |
Output is correct |
13 |
Correct |
144 ms |
4208 KB |
Output is correct |
14 |
Correct |
128 ms |
4196 KB |
Output is correct |
15 |
Correct |
143 ms |
4336 KB |
Output is correct |
16 |
Correct |
30 ms |
1024 KB |
Output is correct |
17 |
Correct |
32 ms |
1068 KB |
Output is correct |
18 |
Correct |
27 ms |
1024 KB |
Output is correct |
19 |
Correct |
40 ms |
1088 KB |
Output is correct |
20 |
Correct |
39 ms |
1016 KB |
Output is correct |
21 |
Incorrect |
1230 ms |
5536 KB |
Output isn't correct |
22 |
Halted |
0 ms |
0 KB |
- |