#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
const ll MLL = 1e18;
const ll mod = 1e9 + 7;
vector<pair<int , int>> v;
set<int> w;
ll inv(ll i) {
return i <= 1 ? i : mod - (ll)(mod/i) * inv(mod % i) % mod; // log czas
}
bool inter(int l , int r, int b) {
if(r < v[b].first || v[b].second < l || (l < v[b].first && r > v[b].second)) return false;
return true;
}
void flow(int x) {
if(w.find(x) != w.end()) w.erase(w.find(x));
for(int i = x - 1; i >= 0; i--) {
if(w.find(i) != w.end() && inter(v[x].first , v[x].second , i)) {
w.erase(w.find(i));
flow(i);
}
}
}
void solve() {
int n;
cin >> n;
v.resize(n);
set<int> s;
vector<int> p(n);
for(int i =0 ; i < n; i++) cin >>v[i].first >> v[i].second, s.insert(i);
for(int i = 0; i < n; i++) p[i] = i;
ll ans = 0;
ll comb = 0;
do{
comb++;
int cur = 0;
w.clear();
w = s;
for(int x : p) {
if(w.find(x) == w.end()) continue;
cur++;
flow(x);
if(w.size() == 0) break;
}
ans += cur;
}while(next_permutation(p.begin(), p.end()));
cout << (ans * inv(comb % mod)) % mod;
}
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(0);
solve();
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 | #include<bits/stdc++.h> using namespace std; typedef long long ll; const ll MLL = 1e18; const ll mod = 1e9 + 7; vector<pair<int , int>> v; set<int> w; ll inv(ll i) { return i <= 1 ? i : mod - (ll)(mod/i) * inv(mod % i) % mod; // log czas } bool inter(int l , int r, int b) { if(r < v[b].first || v[b].second < l || (l < v[b].first && r > v[b].second)) return false; return true; } void flow(int x) { if(w.find(x) != w.end()) w.erase(w.find(x)); for(int i = x - 1; i >= 0; i--) { if(w.find(i) != w.end() && inter(v[x].first , v[x].second , i)) { w.erase(w.find(i)); flow(i); } } } void solve() { int n; cin >> n; v.resize(n); set<int> s; vector<int> p(n); for(int i =0 ; i < n; i++) cin >>v[i].first >> v[i].second, s.insert(i); for(int i = 0; i < n; i++) p[i] = i; ll ans = 0; ll comb = 0; do{ comb++; int cur = 0; w.clear(); w = s; for(int x : p) { if(w.find(x) == w.end()) continue; cur++; flow(x); if(w.size() == 0) break; } ans += cur; }while(next_permutation(p.begin(), p.end())); cout << (ans * inv(comb % mod)) % mod; } int main() { ios_base::sync_with_stdio(false); cin.tie(0); solve(); return 0; } |
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