#include <bits/stdc++.h>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>
using namespace std;
using namespace __gnu_pbds;
typedef long long ll;
typedef long double ld;
typedef complex<ld> cd;
typedef pair<int, int> pi;
typedef pair<ll,ll> pl;
typedef pair<ld,ld> pd;
typedef vector<int> vi;
typedef vector<ld> vd;
typedef vector<ll> vl;
typedef vector<pi> vpi;
typedef vector<pl> vpl;
typedef vector<cd> vcd;
template <class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag,tree_order_statistics_node_update>;
#define FOR(i, a, b) for (int i=a; i<(b); i++)
#define F0R(i, a) for (int i=0; i<(a); i++)
#define FORd(i,a,b) for (int i = (b)-1; i >= a; i--)
#define F0Rd(i,a) for (int i = (a)-1; i >= 0; i--)
#define sz(x) (int)(x).size()
#define mp make_pair
#define pb push_back
#define f first
#define s second
#define lb lower_bound
#define ub upper_bound
#define all(x) x.begin(), x.end()
const int MOD = 1000000007;
const ll INF = 1e18;
const int MX = 100001;
ll po (ll b, ll p) { return !p?1:po(b*b%MOD,p/2)*(p&1?b:1)%MOD; }
ll inv (ll b) { return po(b,MOD-2); }
ll ad(ll a, ll b) { return (a+b)%MOD; }
ll sub(ll a, ll b) { return (a-b+MOD)%MOD; }
ll mul(ll a, ll b) { return a*b%MOD; }
ll divi(ll a, ll b) { return mul(a,inv(b)); }
int N, dp[1000][501], in[1001];
vi rm;
map<int,int> m;
vpi v;
void input() {
ios_base::sync_with_stdio(0); cin.tie(0);
cin >> N;
F0R(i,N) {
int a,b; cin >> a >> b;
v.pb({a,b});
m[a-1] = m[b] = 0;
}
FOR(i,1,1001) in[i] = inv(i);
int co = 0;
for (auto& a: m) {
rm.pb(a.f);
a.s = co++;
}
}
int main() {
input();
F0R(i,sz(v)) {
auto a = v[i];
int l = m[a.f-1]+1, r = m[a.s];
int csum = 1;
FOR(j,1,r+1) {
int tmp = 0; F0R(k,i) tmp = ad(tmp,dp[j][k]);
if (l <= j) {
int w = rm[j]-rm[j-1];
FORd(k,1,i+1) dp[j][k] = ad(dp[j][k],mul(dp[j][k-1],mul(w-k,in[k+1])));
dp[j][0] = ad(dp[j][0],mul(w,csum));
}
csum = ad(csum,tmp);
}
}
int ans = 0;
FOR(i,1,sz(m)) F0R(j,sz(v)) ans = ad(ans,dp[i][j]);
cout << ans;
}
/* Look for:
* the exact constraints (multiple sets are too slow for n=10^6 :( )
* special cases (n=1?)
* overflow (ll vs int?)
* array bounds
*/
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
393 ms |
2552 KB |
Output is correct |
2 |
Correct |
396 ms |
2592 KB |
Output is correct |
3 |
Correct |
407 ms |
2608 KB |
Output is correct |
4 |
Correct |
393 ms |
2912 KB |
Output is correct |
5 |
Correct |
394 ms |
2940 KB |
Output is correct |
6 |
Correct |
502 ms |
2940 KB |
Output is correct |
7 |
Correct |
505 ms |
3204 KB |
Output is correct |
8 |
Correct |
551 ms |
3204 KB |
Output is correct |
9 |
Correct |
515 ms |
3204 KB |
Output is correct |
10 |
Correct |
527 ms |
3204 KB |
Output is correct |
11 |
Correct |
507 ms |
3204 KB |
Output is correct |
12 |
Correct |
505 ms |
3204 KB |
Output is correct |
13 |
Correct |
510 ms |
3204 KB |
Output is correct |
14 |
Correct |
502 ms |
3204 KB |
Output is correct |
15 |
Correct |
504 ms |
3204 KB |
Output is correct |
16 |
Correct |
54 ms |
3204 KB |
Output is correct |
17 |
Correct |
57 ms |
3204 KB |
Output is correct |
18 |
Correct |
58 ms |
3204 KB |
Output is correct |
19 |
Correct |
55 ms |
3204 KB |
Output is correct |
20 |
Correct |
59 ms |
3204 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
393 ms |
2552 KB |
Output is correct |
2 |
Correct |
396 ms |
2592 KB |
Output is correct |
3 |
Correct |
407 ms |
2608 KB |
Output is correct |
4 |
Correct |
393 ms |
2912 KB |
Output is correct |
5 |
Correct |
394 ms |
2940 KB |
Output is correct |
6 |
Correct |
502 ms |
2940 KB |
Output is correct |
7 |
Correct |
505 ms |
3204 KB |
Output is correct |
8 |
Correct |
551 ms |
3204 KB |
Output is correct |
9 |
Correct |
515 ms |
3204 KB |
Output is correct |
10 |
Correct |
527 ms |
3204 KB |
Output is correct |
11 |
Correct |
507 ms |
3204 KB |
Output is correct |
12 |
Correct |
505 ms |
3204 KB |
Output is correct |
13 |
Correct |
510 ms |
3204 KB |
Output is correct |
14 |
Correct |
502 ms |
3204 KB |
Output is correct |
15 |
Correct |
504 ms |
3204 KB |
Output is correct |
16 |
Correct |
54 ms |
3204 KB |
Output is correct |
17 |
Correct |
57 ms |
3204 KB |
Output is correct |
18 |
Correct |
58 ms |
3204 KB |
Output is correct |
19 |
Correct |
55 ms |
3204 KB |
Output is correct |
20 |
Correct |
59 ms |
3204 KB |
Output is correct |
21 |
Correct |
782 ms |
3204 KB |
Output is correct |
22 |
Correct |
769 ms |
3204 KB |
Output is correct |
23 |
Correct |
733 ms |
3208 KB |
Output is correct |
24 |
Correct |
765 ms |
3208 KB |
Output is correct |
25 |
Correct |
731 ms |
3216 KB |
Output is correct |
26 |
Correct |
962 ms |
3216 KB |
Output is correct |
27 |
Correct |
988 ms |
3216 KB |
Output is correct |
28 |
Correct |
941 ms |
3216 KB |
Output is correct |
29 |
Correct |
1027 ms |
3216 KB |
Output is correct |
30 |
Correct |
492 ms |
3216 KB |
Output is correct |
31 |
Correct |
501 ms |
3304 KB |
Output is correct |
32 |
Correct |
512 ms |
3540 KB |
Output is correct |
33 |
Correct |
510 ms |
3540 KB |
Output is correct |
34 |
Correct |
507 ms |
3540 KB |
Output is correct |
35 |
Correct |
390 ms |
3540 KB |
Output is correct |
36 |
Correct |
380 ms |
3540 KB |
Output is correct |
37 |
Correct |
383 ms |
3540 KB |
Output is correct |
38 |
Correct |
388 ms |
3540 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
13 ms |
3540 KB |
Output is correct |
2 |
Correct |
13 ms |
3540 KB |
Output is correct |
3 |
Correct |
11 ms |
3540 KB |
Output is correct |
4 |
Correct |
11 ms |
3540 KB |
Output is correct |
5 |
Correct |
12 ms |
3540 KB |
Output is correct |
6 |
Correct |
12 ms |
3540 KB |
Output is correct |
7 |
Correct |
13 ms |
3540 KB |
Output is correct |
8 |
Correct |
12 ms |
3540 KB |
Output is correct |
9 |
Correct |
13 ms |
3540 KB |
Output is correct |
10 |
Correct |
12 ms |
3540 KB |
Output is correct |
11 |
Correct |
10 ms |
3540 KB |
Output is correct |
12 |
Correct |
10 ms |
3540 KB |
Output is correct |
13 |
Correct |
10 ms |
3540 KB |
Output is correct |
14 |
Correct |
9 ms |
3540 KB |
Output is correct |
15 |
Correct |
10 ms |
3540 KB |
Output is correct |
16 |
Correct |
7 ms |
3540 KB |
Output is correct |
17 |
Correct |
6 ms |
3540 KB |
Output is correct |
18 |
Correct |
7 ms |
3540 KB |
Output is correct |
19 |
Correct |
7 ms |
3540 KB |
Output is correct |
20 |
Correct |
6 ms |
3540 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
393 ms |
2552 KB |
Output is correct |
2 |
Correct |
396 ms |
2592 KB |
Output is correct |
3 |
Correct |
407 ms |
2608 KB |
Output is correct |
4 |
Correct |
393 ms |
2912 KB |
Output is correct |
5 |
Correct |
394 ms |
2940 KB |
Output is correct |
6 |
Correct |
502 ms |
2940 KB |
Output is correct |
7 |
Correct |
505 ms |
3204 KB |
Output is correct |
8 |
Correct |
551 ms |
3204 KB |
Output is correct |
9 |
Correct |
515 ms |
3204 KB |
Output is correct |
10 |
Correct |
527 ms |
3204 KB |
Output is correct |
11 |
Correct |
507 ms |
3204 KB |
Output is correct |
12 |
Correct |
505 ms |
3204 KB |
Output is correct |
13 |
Correct |
510 ms |
3204 KB |
Output is correct |
14 |
Correct |
502 ms |
3204 KB |
Output is correct |
15 |
Correct |
504 ms |
3204 KB |
Output is correct |
16 |
Correct |
54 ms |
3204 KB |
Output is correct |
17 |
Correct |
57 ms |
3204 KB |
Output is correct |
18 |
Correct |
58 ms |
3204 KB |
Output is correct |
19 |
Correct |
55 ms |
3204 KB |
Output is correct |
20 |
Correct |
59 ms |
3204 KB |
Output is correct |
21 |
Correct |
782 ms |
3204 KB |
Output is correct |
22 |
Correct |
769 ms |
3204 KB |
Output is correct |
23 |
Correct |
733 ms |
3208 KB |
Output is correct |
24 |
Correct |
765 ms |
3208 KB |
Output is correct |
25 |
Correct |
731 ms |
3216 KB |
Output is correct |
26 |
Correct |
962 ms |
3216 KB |
Output is correct |
27 |
Correct |
988 ms |
3216 KB |
Output is correct |
28 |
Correct |
941 ms |
3216 KB |
Output is correct |
29 |
Correct |
1027 ms |
3216 KB |
Output is correct |
30 |
Correct |
492 ms |
3216 KB |
Output is correct |
31 |
Correct |
501 ms |
3304 KB |
Output is correct |
32 |
Correct |
512 ms |
3540 KB |
Output is correct |
33 |
Correct |
510 ms |
3540 KB |
Output is correct |
34 |
Correct |
507 ms |
3540 KB |
Output is correct |
35 |
Correct |
390 ms |
3540 KB |
Output is correct |
36 |
Correct |
380 ms |
3540 KB |
Output is correct |
37 |
Correct |
383 ms |
3540 KB |
Output is correct |
38 |
Correct |
388 ms |
3540 KB |
Output is correct |
39 |
Correct |
13 ms |
3540 KB |
Output is correct |
40 |
Correct |
13 ms |
3540 KB |
Output is correct |
41 |
Correct |
11 ms |
3540 KB |
Output is correct |
42 |
Correct |
11 ms |
3540 KB |
Output is correct |
43 |
Correct |
12 ms |
3540 KB |
Output is correct |
44 |
Correct |
12 ms |
3540 KB |
Output is correct |
45 |
Correct |
13 ms |
3540 KB |
Output is correct |
46 |
Correct |
12 ms |
3540 KB |
Output is correct |
47 |
Correct |
13 ms |
3540 KB |
Output is correct |
48 |
Correct |
12 ms |
3540 KB |
Output is correct |
49 |
Correct |
10 ms |
3540 KB |
Output is correct |
50 |
Correct |
10 ms |
3540 KB |
Output is correct |
51 |
Correct |
10 ms |
3540 KB |
Output is correct |
52 |
Correct |
9 ms |
3540 KB |
Output is correct |
53 |
Correct |
10 ms |
3540 KB |
Output is correct |
54 |
Correct |
7 ms |
3540 KB |
Output is correct |
55 |
Correct |
6 ms |
3540 KB |
Output is correct |
56 |
Correct |
7 ms |
3540 KB |
Output is correct |
57 |
Correct |
7 ms |
3540 KB |
Output is correct |
58 |
Correct |
6 ms |
3540 KB |
Output is correct |
59 |
Correct |
854 ms |
3540 KB |
Output is correct |
60 |
Correct |
824 ms |
3596 KB |
Output is correct |
61 |
Correct |
788 ms |
3624 KB |
Output is correct |
62 |
Correct |
882 ms |
3624 KB |
Output is correct |
63 |
Correct |
980 ms |
3624 KB |
Output is correct |
64 |
Correct |
1215 ms |
3624 KB |
Output is correct |
65 |
Correct |
1316 ms |
3668 KB |
Output is correct |
66 |
Correct |
1175 ms |
3668 KB |
Output is correct |
67 |
Correct |
1243 ms |
3820 KB |
Output is correct |
68 |
Correct |
1141 ms |
3820 KB |
Output is correct |
69 |
Correct |
821 ms |
3820 KB |
Output is correct |
70 |
Correct |
819 ms |
3820 KB |
Output is correct |
71 |
Correct |
778 ms |
3820 KB |
Output is correct |
72 |
Correct |
862 ms |
3820 KB |
Output is correct |
73 |
Correct |
829 ms |
3820 KB |
Output is correct |
74 |
Correct |
160 ms |
3820 KB |
Output is correct |
75 |
Correct |
163 ms |
3820 KB |
Output is correct |
76 |
Correct |
165 ms |
3820 KB |
Output is correct |
77 |
Correct |
169 ms |
3820 KB |
Output is correct |
78 |
Correct |
158 ms |
3820 KB |
Output is correct |