/*input
2
1 1000000000
1 1000000000
*/
#include<bits/stdc++.h>
using namespace std;
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
typedef tree<long long,null_type,less_equal<long long>,rb_tree_tag,tree_order_statistics_node_update> indexed_set;
#pragma GCC optimize("O2")
//order_of_key #of elements less than x
// find_by_order kth element
using ll=long long;
using ld=long double;
using pii=pair<ll,ll>;
#define f first
#define s second
#define pb push_back
#define REP(i,n) for(int i=0;i<n;i++)
#define REP1(i,n) for(ll i=1;i<=n;i++)
#define FILL(n,x) memset(n,x,sizeof(n))
#define ALL(_a) _a.begin(),_a.end()
#define sz(x) (int)x.size()
#define SORT_UNIQUE(c) (sort(c.begin(),c.end()),c.resize(distance(c.begin(),unique(c.begin(),c.end()))))
const ll maxn=1e3+5;
const ll maxlg=__lg(maxn)+2;
const ll INF64=4e18;
const int INF=0x3f3f3f3f;
const ll MOD=1e9+7;
const ld PI=acos(-1);
const ld eps=1e-6;
#define lowb(x) x&(-x)
#define MNTO(x,y) x=min(x,(__typeof__(x))y)
#define MXTO(x,y) x=max(x,(__typeof__(x))y)
template<typename T1,typename T2>
ostream& operator<<(ostream& out,pair<T1,T2> P){
out<<P.f<<' '<<P.s;
return out;
}
template<typename T>
ostream& operator<<(ostream& out,vector<T> V){
REP(i,sz(V)) out<<V[i]<<((i!=sz(V)-1)?"\n":"");
return out;
}
ll mult(ll a,ll b){
return a*b%MOD;
}
ll mypow(ll a,ll b){
a%=MOD;
if(a==0) return 0;
if(b<=0) return 1;
ll res=1LL;
while(b){
if(b&1) res=(res*a)%MOD;
a=(a*a)%MOD;
b>>=1;
}
return res;
}
int l[maxn],r[maxn];
ll dp[maxn][maxn];
ll inv[maxn];
int32_t main(){
ios::sync_with_stdio(false),cin.tie(0);
int n;
cin>>n;
vector<int> v;
REP(i,n+2) inv[i]=mypow(i,MOD-2);
REP1(i,n) cin>>l[i]>>r[i],++r[i],v.pb(l[i]),v.pb(r[i]);
SORT_UNIQUE(v);
REP1(i,n) l[i]=lower_bound(ALL(v),l[i])-v.begin()+1,r[i]=lower_bound(ALL(v),r[i])-v.begin();
REP(i,sz(v)) dp[0][i]=1;
int ans=0;
REP1(i,n){
for(int j=l[i];j<=r[i];j++){
int cnt=0;
int len=v[j]-v[j-1];
int c=len;
for(int k=i-1;k>=0;k--){
dp[i][j]+=1LL*dp[k][j-1]*c;
dp[i][j]%=MOD;
if(l[k]<=j and j<=r[k]){
++cnt;
c=1LL*c*(len+cnt)%MOD*inv[cnt+1]%MOD;
}
}
}
REP1(j,sz(v)) dp[i][j]+=dp[i][j-1],dp[i][j]%=MOD;
ans+=dp[i][sz(v)];
ans%=MOD;
}
cout<<ans<<'\n';
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
4180 KB |
Output is correct |
2 |
Correct |
7 ms |
4300 KB |
Output is correct |
3 |
Correct |
7 ms |
4184 KB |
Output is correct |
4 |
Correct |
7 ms |
4304 KB |
Output is correct |
5 |
Correct |
7 ms |
4180 KB |
Output is correct |
6 |
Correct |
7 ms |
4304 KB |
Output is correct |
7 |
Correct |
8 ms |
4180 KB |
Output is correct |
8 |
Correct |
7 ms |
4308 KB |
Output is correct |
9 |
Correct |
7 ms |
4308 KB |
Output is correct |
10 |
Correct |
7 ms |
4288 KB |
Output is correct |
11 |
Correct |
7 ms |
4180 KB |
Output is correct |
12 |
Correct |
7 ms |
4300 KB |
Output is correct |
13 |
Correct |
6 ms |
4304 KB |
Output is correct |
14 |
Correct |
7 ms |
4180 KB |
Output is correct |
15 |
Correct |
7 ms |
4180 KB |
Output is correct |
16 |
Correct |
4 ms |
3028 KB |
Output is correct |
17 |
Correct |
4 ms |
3020 KB |
Output is correct |
18 |
Correct |
4 ms |
3028 KB |
Output is correct |
19 |
Correct |
4 ms |
3028 KB |
Output is correct |
20 |
Correct |
4 ms |
3028 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
4180 KB |
Output is correct |
2 |
Correct |
7 ms |
4300 KB |
Output is correct |
3 |
Correct |
7 ms |
4184 KB |
Output is correct |
4 |
Correct |
7 ms |
4304 KB |
Output is correct |
5 |
Correct |
7 ms |
4180 KB |
Output is correct |
6 |
Correct |
7 ms |
4304 KB |
Output is correct |
7 |
Correct |
8 ms |
4180 KB |
Output is correct |
8 |
Correct |
7 ms |
4308 KB |
Output is correct |
9 |
Correct |
7 ms |
4308 KB |
Output is correct |
10 |
Correct |
7 ms |
4288 KB |
Output is correct |
11 |
Correct |
7 ms |
4180 KB |
Output is correct |
12 |
Correct |
7 ms |
4300 KB |
Output is correct |
13 |
Correct |
6 ms |
4304 KB |
Output is correct |
14 |
Correct |
7 ms |
4180 KB |
Output is correct |
15 |
Correct |
7 ms |
4180 KB |
Output is correct |
16 |
Correct |
4 ms |
3028 KB |
Output is correct |
17 |
Correct |
4 ms |
3020 KB |
Output is correct |
18 |
Correct |
4 ms |
3028 KB |
Output is correct |
19 |
Correct |
4 ms |
3028 KB |
Output is correct |
20 |
Correct |
4 ms |
3028 KB |
Output is correct |
21 |
Correct |
272 ms |
4280 KB |
Output is correct |
22 |
Correct |
226 ms |
4288 KB |
Output is correct |
23 |
Correct |
224 ms |
4184 KB |
Output is correct |
24 |
Correct |
237 ms |
4184 KB |
Output is correct |
25 |
Correct |
252 ms |
4252 KB |
Output is correct |
26 |
Correct |
505 ms |
4364 KB |
Output is correct |
27 |
Correct |
492 ms |
4180 KB |
Output is correct |
28 |
Correct |
487 ms |
4172 KB |
Output is correct |
29 |
Correct |
494 ms |
4332 KB |
Output is correct |
30 |
Correct |
7 ms |
4180 KB |
Output is correct |
31 |
Correct |
8 ms |
4308 KB |
Output is correct |
32 |
Correct |
8 ms |
4308 KB |
Output is correct |
33 |
Correct |
8 ms |
4308 KB |
Output is correct |
34 |
Correct |
8 ms |
4300 KB |
Output is correct |
35 |
Correct |
8 ms |
4300 KB |
Output is correct |
36 |
Correct |
8 ms |
4180 KB |
Output is correct |
37 |
Correct |
7 ms |
4180 KB |
Output is correct |
38 |
Correct |
8 ms |
4180 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
852 KB |
Output is correct |
2 |
Correct |
3 ms |
840 KB |
Output is correct |
3 |
Correct |
8 ms |
840 KB |
Output is correct |
4 |
Correct |
4 ms |
852 KB |
Output is correct |
5 |
Correct |
4 ms |
836 KB |
Output is correct |
6 |
Correct |
5 ms |
852 KB |
Output is correct |
7 |
Correct |
5 ms |
836 KB |
Output is correct |
8 |
Correct |
6 ms |
852 KB |
Output is correct |
9 |
Correct |
6 ms |
852 KB |
Output is correct |
10 |
Correct |
5 ms |
852 KB |
Output is correct |
11 |
Correct |
3 ms |
852 KB |
Output is correct |
12 |
Correct |
3 ms |
852 KB |
Output is correct |
13 |
Correct |
3 ms |
852 KB |
Output is correct |
14 |
Correct |
3 ms |
844 KB |
Output is correct |
15 |
Correct |
3 ms |
852 KB |
Output is correct |
16 |
Correct |
3 ms |
724 KB |
Output is correct |
17 |
Correct |
2 ms |
844 KB |
Output is correct |
18 |
Correct |
2 ms |
724 KB |
Output is correct |
19 |
Correct |
3 ms |
724 KB |
Output is correct |
20 |
Correct |
3 ms |
724 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
4180 KB |
Output is correct |
2 |
Correct |
7 ms |
4300 KB |
Output is correct |
3 |
Correct |
7 ms |
4184 KB |
Output is correct |
4 |
Correct |
7 ms |
4304 KB |
Output is correct |
5 |
Correct |
7 ms |
4180 KB |
Output is correct |
6 |
Correct |
7 ms |
4304 KB |
Output is correct |
7 |
Correct |
8 ms |
4180 KB |
Output is correct |
8 |
Correct |
7 ms |
4308 KB |
Output is correct |
9 |
Correct |
7 ms |
4308 KB |
Output is correct |
10 |
Correct |
7 ms |
4288 KB |
Output is correct |
11 |
Correct |
7 ms |
4180 KB |
Output is correct |
12 |
Correct |
7 ms |
4300 KB |
Output is correct |
13 |
Correct |
6 ms |
4304 KB |
Output is correct |
14 |
Correct |
7 ms |
4180 KB |
Output is correct |
15 |
Correct |
7 ms |
4180 KB |
Output is correct |
16 |
Correct |
4 ms |
3028 KB |
Output is correct |
17 |
Correct |
4 ms |
3020 KB |
Output is correct |
18 |
Correct |
4 ms |
3028 KB |
Output is correct |
19 |
Correct |
4 ms |
3028 KB |
Output is correct |
20 |
Correct |
4 ms |
3028 KB |
Output is correct |
21 |
Correct |
272 ms |
4280 KB |
Output is correct |
22 |
Correct |
226 ms |
4288 KB |
Output is correct |
23 |
Correct |
224 ms |
4184 KB |
Output is correct |
24 |
Correct |
237 ms |
4184 KB |
Output is correct |
25 |
Correct |
252 ms |
4252 KB |
Output is correct |
26 |
Correct |
505 ms |
4364 KB |
Output is correct |
27 |
Correct |
492 ms |
4180 KB |
Output is correct |
28 |
Correct |
487 ms |
4172 KB |
Output is correct |
29 |
Correct |
494 ms |
4332 KB |
Output is correct |
30 |
Correct |
7 ms |
4180 KB |
Output is correct |
31 |
Correct |
8 ms |
4308 KB |
Output is correct |
32 |
Correct |
8 ms |
4308 KB |
Output is correct |
33 |
Correct |
8 ms |
4308 KB |
Output is correct |
34 |
Correct |
8 ms |
4300 KB |
Output is correct |
35 |
Correct |
8 ms |
4300 KB |
Output is correct |
36 |
Correct |
8 ms |
4180 KB |
Output is correct |
37 |
Correct |
7 ms |
4180 KB |
Output is correct |
38 |
Correct |
8 ms |
4180 KB |
Output is correct |
39 |
Correct |
3 ms |
852 KB |
Output is correct |
40 |
Correct |
3 ms |
840 KB |
Output is correct |
41 |
Correct |
8 ms |
840 KB |
Output is correct |
42 |
Correct |
4 ms |
852 KB |
Output is correct |
43 |
Correct |
4 ms |
836 KB |
Output is correct |
44 |
Correct |
5 ms |
852 KB |
Output is correct |
45 |
Correct |
5 ms |
836 KB |
Output is correct |
46 |
Correct |
6 ms |
852 KB |
Output is correct |
47 |
Correct |
6 ms |
852 KB |
Output is correct |
48 |
Correct |
5 ms |
852 KB |
Output is correct |
49 |
Correct |
3 ms |
852 KB |
Output is correct |
50 |
Correct |
3 ms |
852 KB |
Output is correct |
51 |
Correct |
3 ms |
852 KB |
Output is correct |
52 |
Correct |
3 ms |
844 KB |
Output is correct |
53 |
Correct |
3 ms |
852 KB |
Output is correct |
54 |
Correct |
3 ms |
724 KB |
Output is correct |
55 |
Correct |
2 ms |
844 KB |
Output is correct |
56 |
Correct |
2 ms |
724 KB |
Output is correct |
57 |
Correct |
3 ms |
724 KB |
Output is correct |
58 |
Correct |
3 ms |
724 KB |
Output is correct |
59 |
Correct |
256 ms |
4216 KB |
Output is correct |
60 |
Correct |
258 ms |
4400 KB |
Output is correct |
61 |
Correct |
246 ms |
4244 KB |
Output is correct |
62 |
Correct |
278 ms |
4248 KB |
Output is correct |
63 |
Correct |
257 ms |
4284 KB |
Output is correct |
64 |
Correct |
551 ms |
4364 KB |
Output is correct |
65 |
Correct |
566 ms |
4256 KB |
Output is correct |
66 |
Correct |
548 ms |
4200 KB |
Output is correct |
67 |
Correct |
554 ms |
4412 KB |
Output is correct |
68 |
Correct |
554 ms |
4240 KB |
Output is correct |
69 |
Correct |
236 ms |
4236 KB |
Output is correct |
70 |
Correct |
224 ms |
4180 KB |
Output is correct |
71 |
Correct |
220 ms |
4180 KB |
Output is correct |
72 |
Correct |
232 ms |
4172 KB |
Output is correct |
73 |
Correct |
242 ms |
4216 KB |
Output is correct |
74 |
Correct |
54 ms |
2960 KB |
Output is correct |
75 |
Correct |
50 ms |
3044 KB |
Output is correct |
76 |
Correct |
57 ms |
3032 KB |
Output is correct |
77 |
Correct |
57 ms |
2968 KB |
Output is correct |
78 |
Correct |
53 ms |
3020 KB |
Output is correct |