// Daniel Grzegorzewski
// while (clock()<=69*CLOCKS_PER_SEC)
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
// #pragma GCC optimize("Ofast")
// #pragma GCC target("avx,avx2,fma")
#define MP make_pair
#define PB push_back
#define ST first
#define ND second
#define int long long
using namespace __gnu_pbds;
using namespace std;
template <typename T>
using ordered_set =
tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
//X.find_by_order(k); - zwraca iterator na k-ty element (numeracja od zerowego)
//X.order_of_key(k); - zwraca liczbę elementów ostro mniejszych niż k
typedef pair<int, int> PII;
typedef vector<int> VI;
typedef vector<PII> VII;
typedef long long LL;
void init_ios() {
ios_base::sync_with_stdio(0);
cin.tie(0);
}
const uint64_t SEED = chrono::steady_clock::now().time_since_epoch().count();
mt19937_64 rng(SEED);
const int N = 5*(int)1e5 + 3;
const int MOD = (int)1e9 + 7;
int n, res, l[N], r[N], sil[N], inv[N], cnt[N];
VI child[N];
bool vis[N];
int fpow(int x, int y) {
if (y == 0)
return 1;
if (y&1)
return x*fpow(x, y-1)%MOD;
int res = fpow(x, y/2);
return res*res%MOD;
}
void dfs(int v) {
vis[v] = true;
++cnt[v];
for (int x: child[v])
if (!vis[x])
dfs(x);
}
signed main() {
init_ios();
sil[0] = 1;
for (int i = 1; i < N; ++i)
sil[i] = i*sil[i-1]%MOD;
inv[N-1] = fpow(sil[N-1], MOD-2);
for (int i = N-2; i >= 0; --i)
inv[i] = (i+1)*inv[i+1]%MOD;
cin >> n;
for (int i = 1; i <= n; ++i)
cin >> l[i] >> r[i];
set<PII> s;
for (int i = n; i >= 1; --i) {
auto it = s.lower_bound({l[i], -1});
VII rem;
while (it != s.end() && (*it).ST <= r[i]) {
PII el = *it;
rem.PB(el);
if (child[el.ND].empty() || child[el.ND][0] != i)
child[el.ND].PB(i);
++it;
}
for (const auto& el: rem)
s.erase(el);
s.insert({l[i], i});
s.insert({r[i], i});
}
for (int i = 1; i <= n; ++i) {
for (int j = 1; j <= i; ++j)
vis[j] = false;
dfs(i);
}
for (int i = 1; i <= n; ++i)
res = (res+inv[cnt[i]]*sil[cnt[i]-1])%MOD;
cout<<res<<"\n";
}
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 | // Daniel Grzegorzewski // while (clock()<=69*CLOCKS_PER_SEC) #include <bits/stdc++.h> #include <ext/pb_ds/assoc_container.hpp> #include <ext/pb_ds/tree_policy.hpp> // #pragma GCC optimize("Ofast") // #pragma GCC target("avx,avx2,fma") #define MP make_pair #define PB push_back #define ST first #define ND second #define int long long using namespace __gnu_pbds; using namespace std; template <typename T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>; //X.find_by_order(k); - zwraca iterator na k-ty element (numeracja od zerowego) //X.order_of_key(k); - zwraca liczbę elementów ostro mniejszych niż k typedef pair<int, int> PII; typedef vector<int> VI; typedef vector<PII> VII; typedef long long LL; void init_ios() { ios_base::sync_with_stdio(0); cin.tie(0); } const uint64_t SEED = chrono::steady_clock::now().time_since_epoch().count(); mt19937_64 rng(SEED); const int N = 5*(int)1e5 + 3; const int MOD = (int)1e9 + 7; int n, res, l[N], r[N], sil[N], inv[N], cnt[N]; VI child[N]; bool vis[N]; int fpow(int x, int y) { if (y == 0) return 1; if (y&1) return x*fpow(x, y-1)%MOD; int res = fpow(x, y/2); return res*res%MOD; } void dfs(int v) { vis[v] = true; ++cnt[v]; for (int x: child[v]) if (!vis[x]) dfs(x); } signed main() { init_ios(); sil[0] = 1; for (int i = 1; i < N; ++i) sil[i] = i*sil[i-1]%MOD; inv[N-1] = fpow(sil[N-1], MOD-2); for (int i = N-2; i >= 0; --i) inv[i] = (i+1)*inv[i+1]%MOD; cin >> n; for (int i = 1; i <= n; ++i) cin >> l[i] >> r[i]; set<PII> s; for (int i = n; i >= 1; --i) { auto it = s.lower_bound({l[i], -1}); VII rem; while (it != s.end() && (*it).ST <= r[i]) { PII el = *it; rem.PB(el); if (child[el.ND].empty() || child[el.ND][0] != i) child[el.ND].PB(i); ++it; } for (const auto& el: rem) s.erase(el); s.insert({l[i], i}); s.insert({r[i], i}); } for (int i = 1; i <= n; ++i) { for (int j = 1; j <= i; ++j) vis[j] = false; dfs(i); } for (int i = 1; i <= n; ++i) res = (res+inv[cnt[i]]*sil[cnt[i]-1])%MOD; cout<<res<<"\n"; } |
English