#include<bits/stdc++.h>
using namespace std;
const int base = 1048576;
// const int base = 16;
const long long mod = 1e9+7;
int tree[base * 2];
vector<int> graph[base];
int visited[base];
int upper_size[base];
int v_pop[base];
void add(int a, int b, int value, int v = 1, int l = 0, int r = base - 1){
if(a <= l and b >= r){
tree[v] = value;
return;
}
if(a > r or b < l){
return;
}
int mid = (l+r)/2;
add(a, b, value, v * 2, l, mid);
add(a, b, value, v * 2 + 1, mid + 1, r);
}
int find(int v){
if(v == 0){
return 0;
}
return max(tree[v], find(v/2));
}
void DFS(int v, int lvl, int pop = 1){
if(v == lvl){
pop = 1 + v_pop[v];
if(graph[v].size() == 1){
int u = graph[v][0];
v_pop[u] += pop;
upper_size[v] += pop;
return;
}
}
if(visited[v] == lvl){
return;
}
visited[v] = lvl;
upper_size[v] += pop;
for(auto u: graph[v]){
DFS(u, lvl, pop);
}
}
long long fast_pot(long long a, long long stopien){
if(stopien == 0){
return 1;
}
if(stopien%2 == 0){
return fast_pot((a*a)%mod, stopien/2);
}else{
return (fast_pot((a*a)%mod, stopien/2)*a)%mod;
}
}
int main(){
ios_base::sync_with_stdio(false);
cin.tie(0);
int n;
cin >> n;
for(int i = 1; i <= n; i++){
int l, r;
cin >> l >> r;
int son1, son2;
son1 = find(l + base);
son2 = find(r + base);
if(son1 < son2){
swap(son1, son2);
}
if(son1 != 0){
graph[i].push_back(son1);
}
if(son2 != 0 and son2 != son1){
bool happened = false;
for(auto u: graph[son1]){
if(u == son2){
happened = true;
}
}
if(!happened){
graph[i].push_back(son2);
}
}
add(l, r, i);
}
for(int i = n; i > 0; i--){
DFS(i, i);
}
long long ans = 0;
for(int i = 1; i <= n; i++){
ans = (ans + fast_pot(upper_size[i], mod - 2))%mod;
//cout << upper_size[i] << '\n';
}
cout << ans << '\n';
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 99 100 101 102 103 104 105 106 107 108 109 110 | #include<bits/stdc++.h> using namespace std; const int base = 1048576; // const int base = 16; const long long mod = 1e9+7; int tree[base * 2]; vector<int> graph[base]; int visited[base]; int upper_size[base]; int v_pop[base]; void add(int a, int b, int value, int v = 1, int l = 0, int r = base - 1){ if(a <= l and b >= r){ tree[v] = value; return; } if(a > r or b < l){ return; } int mid = (l+r)/2; add(a, b, value, v * 2, l, mid); add(a, b, value, v * 2 + 1, mid + 1, r); } int find(int v){ if(v == 0){ return 0; } return max(tree[v], find(v/2)); } void DFS(int v, int lvl, int pop = 1){ if(v == lvl){ pop = 1 + v_pop[v]; if(graph[v].size() == 1){ int u = graph[v][0]; v_pop[u] += pop; upper_size[v] += pop; return; } } if(visited[v] == lvl){ return; } visited[v] = lvl; upper_size[v] += pop; for(auto u: graph[v]){ DFS(u, lvl, pop); } } long long fast_pot(long long a, long long stopien){ if(stopien == 0){ return 1; } if(stopien%2 == 0){ return fast_pot((a*a)%mod, stopien/2); }else{ return (fast_pot((a*a)%mod, stopien/2)*a)%mod; } } int main(){ ios_base::sync_with_stdio(false); cin.tie(0); int n; cin >> n; for(int i = 1; i <= n; i++){ int l, r; cin >> l >> r; int son1, son2; son1 = find(l + base); son2 = find(r + base); if(son1 < son2){ swap(son1, son2); } if(son1 != 0){ graph[i].push_back(son1); } if(son2 != 0 and son2 != son1){ bool happened = false; for(auto u: graph[son1]){ if(u == son2){ happened = true; } } if(!happened){ graph[i].push_back(son2); } } add(l, r, i); } for(int i = n; i > 0; i--){ DFS(i, i); } long long ans = 0; for(int i = 1; i <= n; i++){ ans = (ans + fast_pot(upper_size[i], mod - 2))%mod; //cout << upper_size[i] << '\n'; } cout << ans << '\n'; return 0; } |
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