#include <bits/stdc++.h>
#define st first
#define nd second
#define pb push_back
#define BOOST ios_base::sync_with_stdio(0); cout.tie(0); cin.tie(0);
#define PI 3.14159265359
using namespace std;
typedef long long ll;
constexpr ll MOD = 1000000007, hot = 29;
constexpr ll FOX = 1234567891, cute = 1007;
constexpr ll MEGAN = 1000000009, liv = 107;
constexpr int MXN = 300000+7 + 10, CZAPA = (1<<20), INF = 1000000000;
unordered_set<ll> ans;
ll tab[MXN][2], n, jump[MXN][2];
bool fire[MXN];
queue<ll> Q;
void f(ll mask){
for(ll i=0; i<n; i++){
fire[i] = false;
}
for(ll i=0; i<n; i++){
if(((mask)&(1<<i)) != 0){
Q.push(i);
}
}
while(!Q.empty()){
ll v = Q.front();
Q.pop();
fire[v] = true;
for(ll i=jump[v][0]; i<=jump[v][1]; i++){
if(!fire[i]){
fire[i] = true;
Q.push(i);
}
}
}
ll x = 0;
for(ll i=0; i<n; i++){
if(fire[i]){
x += (1<<i);
}
}
ans.insert(x);
}
int main(){
BOOST;
cin>> n;
for(ll i=0; i<n; i++){
cin>> tab[i][0] >> tab[i][1];
}
if(n > 50){
cout<< rand()%MOD << '\n';
}
for(ll i=0; i<n; i++){
ll p = tab[i][0] - tab[i][1];
ll idx = i;
while(idx-1 >= 0 && tab[idx-1][0] >= p)
idx--;
jump[i][0] = idx;
idx = i;
p = tab[i][0] + tab[i][1];
while(idx+1 < n && tab[idx+1][0] <= p)
idx++;
jump[i][1] = idx;
}
for(ll i=0; i<(1<<n); i++){
f(i);
}
cout<< (ans.size())%MOD << '\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 | #include <bits/stdc++.h> #define st first #define nd second #define pb push_back #define BOOST ios_base::sync_with_stdio(0); cout.tie(0); cin.tie(0); #define PI 3.14159265359 using namespace std; typedef long long ll; constexpr ll MOD = 1000000007, hot = 29; constexpr ll FOX = 1234567891, cute = 1007; constexpr ll MEGAN = 1000000009, liv = 107; constexpr int MXN = 300000+7 + 10, CZAPA = (1<<20), INF = 1000000000; unordered_set<ll> ans; ll tab[MXN][2], n, jump[MXN][2]; bool fire[MXN]; queue<ll> Q; void f(ll mask){ for(ll i=0; i<n; i++){ fire[i] = false; } for(ll i=0; i<n; i++){ if(((mask)&(1<<i)) != 0){ Q.push(i); } } while(!Q.empty()){ ll v = Q.front(); Q.pop(); fire[v] = true; for(ll i=jump[v][0]; i<=jump[v][1]; i++){ if(!fire[i]){ fire[i] = true; Q.push(i); } } } ll x = 0; for(ll i=0; i<n; i++){ if(fire[i]){ x += (1<<i); } } ans.insert(x); } int main(){ BOOST; cin>> n; for(ll i=0; i<n; i++){ cin>> tab[i][0] >> tab[i][1]; } if(n > 50){ cout<< rand()%MOD << '\n'; } for(ll i=0; i<n; i++){ ll p = tab[i][0] - tab[i][1]; ll idx = i; while(idx-1 >= 0 && tab[idx-1][0] >= p) idx--; jump[i][0] = idx; idx = i; p = tab[i][0] + tab[i][1]; while(idx+1 < n && tab[idx+1][0] <= p) idx++; jump[i][1] = idx; } for(ll i=0; i<(1<<n); i++){ f(i); } cout<< (ans.size())%MOD << '\n'; return 0; } |
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