#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define maxn 500010
#define maxa 30
#define maxv 20000
#define result_t pair<bool, pair<int,char>>
#define mod 1000000007
vector<int> permutation;
vector<pair<int,int>> kranik;
vector<int> kraw[maxn];
bool odw[maxn];
void conditional_push(int x, int y) {
if (y >= 0) {
kraw[x].push_back(y);
}
}
int find (int pos, int maxi) {
for (int i = maxi - 1; i >= 0; --i) {
if (kranik[i].first <= pos && kranik[i].second >= pos) {
return i;
}
}
return -1;
}
void dfs(int x) {
odw[x] = true;
for (int neighbour : kraw[x]) {
if (!odw[neighbour]) {
dfs(neighbour);
}
}
}
ll solve_one () {
ll res = 0;
for (int i = 0; i < (int)permutation.size(); ++i) {
odw[i] = false;
}
for (int el : permutation) {
if (!odw[el]) {
res++;
dfs(el);
}
}
return res;
}
ll quick_pow(ll x, ll n) {
ll res = 1;
while (n != 0) {
if (n % 2 == 1) {
res = (res * x)%mod;
}
n /= 2;
x = (x * x) % mod;
}
return res;
}
int main() {
int n,a,b;
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cin >> n;
ll silnia = 1;
for (int i = 0; i < n; ++i) {
permutation.push_back(i);
cin >> a >> b;
kranik.push_back({a,b});
conditional_push(i, find(b, i));
conditional_push(i, find(a, i));
silnia = (silnia * (ll)(i+1)) % mod;
}
ll sum = 0;
do {
sum = (sum + solve_one()) % mod;
} while (next_permutation(permutation.begin(), permutation.begin() + n));
//cout << sum << " " << silnia << endl;
if (__gcd(sum, silnia) != 1) {
int gcd = __gcd(sum, silnia);
sum /= gcd;
silnia /= gcd;
}
//cout << sum << " " << silnia << endl;
cout << (sum * quick_pow(silnia, mod - 2)) % mod;
}
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 | #include <bits/stdc++.h> using namespace std; #define ll long long #define maxn 500010 #define maxa 30 #define maxv 20000 #define result_t pair<bool, pair<int,char>> #define mod 1000000007 vector<int> permutation; vector<pair<int,int>> kranik; vector<int> kraw[maxn]; bool odw[maxn]; void conditional_push(int x, int y) { if (y >= 0) { kraw[x].push_back(y); } } int find (int pos, int maxi) { for (int i = maxi - 1; i >= 0; --i) { if (kranik[i].first <= pos && kranik[i].second >= pos) { return i; } } return -1; } void dfs(int x) { odw[x] = true; for (int neighbour : kraw[x]) { if (!odw[neighbour]) { dfs(neighbour); } } } ll solve_one () { ll res = 0; for (int i = 0; i < (int)permutation.size(); ++i) { odw[i] = false; } for (int el : permutation) { if (!odw[el]) { res++; dfs(el); } } return res; } ll quick_pow(ll x, ll n) { ll res = 1; while (n != 0) { if (n % 2 == 1) { res = (res * x)%mod; } n /= 2; x = (x * x) % mod; } return res; } int main() { int n,a,b; ios_base::sync_with_stdio(false); cin.tie(NULL); cin >> n; ll silnia = 1; for (int i = 0; i < n; ++i) { permutation.push_back(i); cin >> a >> b; kranik.push_back({a,b}); conditional_push(i, find(b, i)); conditional_push(i, find(a, i)); silnia = (silnia * (ll)(i+1)) % mod; } ll sum = 0; do { sum = (sum + solve_one()) % mod; } while (next_permutation(permutation.begin(), permutation.begin() + n)); //cout << sum << " " << silnia << endl; if (__gcd(sum, silnia) != 1) { int gcd = __gcd(sum, silnia); sum /= gcd; silnia /= gcd; } //cout << sum << " " << silnia << endl; cout << (sum * quick_pow(silnia, mod - 2)) % mod; } |
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