#include<vector>
#include<iostream>
#include<set>
#include<stack>
#include<math.h>
using namespace std;
vector<int> topo[500100];
int ile_topo[500100];
set< pair<int, int> > zbior;
int visited[500100];
void dfs(int ktory, int v) {
visited[v] = ktory;
ile_topo[v]++;
for(int w : topo[v]) {
if(visited[w] == ktory) continue;
dfs(ktory, w);
}
}
long long modulo = pow(10, 9) + 7;
long long odwrotnosc(long long x) {
long long res = 1;
int y = modulo-2;
// Check till the number becomes zero
while (y > 0) {
if (y % 2 == 1)
res = (res * x)%modulo;
y = y >> 1;
x = (x * x)%modulo;
}
return res;
}
long long oblicz(int n) {
long long podziel = 0;
//cout<<"Odwrotnosc odwrotnosci 2 to "<<(odwrotnosc(2)+odwrotnosc(2))%modulo<<endl;
for(int i=0;i<n;i++) {
podziel = (podziel+odwrotnosc(ile_topo[i]))%modulo;
}
return podziel;
}
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(0);
int n;
cin>>n;
stack< pair<int, int> > stos;
int l,r;
for(int i=0;i<n;i++) {
cin>>l>>r;
stos.push(make_pair(l, r));
}
int index = -1;
while(!stos.empty()) {
index++;
pair<int, int> w = stos.top();
l = w.first;
r = w.second;
stos.pop();
auto p = zbior.upper_bound(make_pair(l, 0));
auto q = zbior.upper_bound(make_pair(r, 0));
while(p != q) {
topo[(*p).second].push_back(index);
p = zbior.erase(p);
}
zbior.insert(make_pair(l, index));
zbior.insert(make_pair(r, index));
}
for(int i=0;i<n;i++) dfs(i+1, i);
cout<<oblicz(n)<<endl;
return 0;
}
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 | #include<vector> #include<iostream> #include<set> #include<stack> #include<math.h> using namespace std; vector<int> topo[500100]; int ile_topo[500100]; set< pair<int, int> > zbior; int visited[500100]; void dfs(int ktory, int v) { visited[v] = ktory; ile_topo[v]++; for(int w : topo[v]) { if(visited[w] == ktory) continue; dfs(ktory, w); } } long long modulo = pow(10, 9) + 7; long long odwrotnosc(long long x) { long long res = 1; int y = modulo-2; // Check till the number becomes zero while (y > 0) { if (y % 2 == 1) res = (res * x)%modulo; y = y >> 1; x = (x * x)%modulo; } return res; } long long oblicz(int n) { long long podziel = 0; //cout<<"Odwrotnosc odwrotnosci 2 to "<<(odwrotnosc(2)+odwrotnosc(2))%modulo<<endl; for(int i=0;i<n;i++) { podziel = (podziel+odwrotnosc(ile_topo[i]))%modulo; } return podziel; } int main() { ios_base::sync_with_stdio(false); cin.tie(0); int n; cin>>n; stack< pair<int, int> > stos; int l,r; for(int i=0;i<n;i++) { cin>>l>>r; stos.push(make_pair(l, r)); } int index = -1; while(!stos.empty()) { index++; pair<int, int> w = stos.top(); l = w.first; r = w.second; stos.pop(); auto p = zbior.upper_bound(make_pair(l, 0)); auto q = zbior.upper_bound(make_pair(r, 0)); while(p != q) { topo[(*p).second].push_back(index); p = zbior.erase(p); } zbior.insert(make_pair(l, index)); zbior.insert(make_pair(r, index)); } for(int i=0;i<n;i++) dfs(i+1, i); cout<<oblicz(n)<<endl; return 0; } |
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