#include <vector>
#include <iostream>
#include <sstream>
#include <math.h>
#include <sys/time.h>
#include <cstdlib>
#include <algorithm>
#include <cassert>
#include <cstring>
#include <fstream>
#include <set>
#include <map>
#include <iomanip>
#include <queue>
#define FOR(i,a,b) for(__typeof(b) i=(a);i<(b);++i)
#define REP(i,a) FOR(i,0,a)
#define FOREACH(x,c) for(__typeof(c.begin()) x=c.begin();x != c.end(); x++)
#define ALL(c) c.begin(),c.end()
#define CLEAR(c) memset(c,0,sizeof(c))
#define SIZE(c) (int) ((c).size())
#define PB push_back
#define MP make_pair
#define X first
#define Y second
#define ULL unsigned long long
#define LL long long
#define LD long double
#define II pair<int, int>
#define DD pair<double, double>
#define FF pair<float,float>
#define VC vector
#define VI VC<int>
#define VVI VC<VI>
#define VVVI VC<VVI>
#define VD VC<double>
#define VS VC<string>
#define VII VC<II>
#define VDD VC<DD>
#define VFF VC<FF>
#define VVD VC<VD>
#define VVVD VC<VVD>
#define VULL VC<ULL>
#define VLL2 VC<pair<LL,LL>>
#define DB(a) cerr << #a << ": " << a << endl;
using namespace std;
template<class T> void print(VC < T > v) {cerr << "[";if (SIZE(v) != 0) cerr << v[0]; FOR(i, 1, SIZE(v)) cerr << "," << v[i]; cerr << "]\n";}
template<class T> string i2s(T &x) { ostringstream o; o << x; return o.str(); }
VS split(string &s, char c = ' ') {VS all; int p = 0, np; while (np = s.find(c, p), np >= 0) {all.PB(s.substr(p, np - p)); p = np + 1;} if (p < SIZE(s)) all.PB(s.substr(p)); return all;}
#define MOD 1000000007
int main(int argc, char *argv[]){
int n;
cin >> n;
VLL2 mines(n);
REP(i,n)
cin >> mines[i].X >> mines[i].Y;
VII ints(n);
REP(i,n){
LL l = mines[i].X-mines[i].Y;
LL r = mines[i].X+mines[i].Y;
int a = i, b = i;
while(1){
if (a > 0 && mines[a-1].X >= l){
a--;
l = min(l,mines[a].X-mines[a].Y);
r = max(r,mines[a].X+mines[a].Y);
} else if (b+1 < n && mines[b+1].X <= r){
b++;
l = min(l,mines[b].X-mines[b].Y);
r = max(r,mines[b].X+mines[b].Y);
} else
break;
}
ints[i] = MP(a,b);
//cout << i << " " << a << " " << b << endl;
}
sort(ALL(ints));
VULL dp(n+2);
dp[n] = 1;
dp[n+1] = 1;
int p = n-1;
for(int i=n-1; i >= 0; i--){
dp[i] = dp[i+1];
while (p > 0 && ints[p].X > i) p--;
if (ints[p].X != i) continue;
int p2 = p;
set<int> q;
q.insert(ints[p].Y);
while (p > 0 && ints[p-1].X == i){
p--;
q.insert(ints[p].Y);
}
while (!q.empty()){
int v = *(q.begin());
q.erase(v);
dp[i] = (dp[i] + dp[v+2]) % MOD;
while (p2+1 < n && ints[p2+1].X <= v+1){
p2++;
if (ints[p2].Y > v) q.insert(ints[p2].Y);
}
}
//cout << dp[i] << endl;
}
//REP(i,n) cout << "(" << ints[i].X << " " << ints[i].Y << ") ";
//cout << endl;
//REP(i,n+2) cout << dp[i] << " ";
//cout << endl;
cout << dp[0] << endl;
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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 | #include <vector> #include <iostream> #include <sstream> #include <math.h> #include <sys/time.h> #include <cstdlib> #include <algorithm> #include <cassert> #include <cstring> #include <fstream> #include <set> #include <map> #include <iomanip> #include <queue> #define FOR(i,a,b) for(__typeof(b) i=(a);i<(b);++i) #define REP(i,a) FOR(i,0,a) #define FOREACH(x,c) for(__typeof(c.begin()) x=c.begin();x != c.end(); x++) #define ALL(c) c.begin(),c.end() #define CLEAR(c) memset(c,0,sizeof(c)) #define SIZE(c) (int) ((c).size()) #define PB push_back #define MP make_pair #define X first #define Y second #define ULL unsigned long long #define LL long long #define LD long double #define II pair<int, int> #define DD pair<double, double> #define FF pair<float,float> #define VC vector #define VI VC<int> #define VVI VC<VI> #define VVVI VC<VVI> #define VD VC<double> #define VS VC<string> #define VII VC<II> #define VDD VC<DD> #define VFF VC<FF> #define VVD VC<VD> #define VVVD VC<VVD> #define VULL VC<ULL> #define VLL2 VC<pair<LL,LL>> #define DB(a) cerr << #a << ": " << a << endl; using namespace std; template<class T> void print(VC < T > v) {cerr << "[";if (SIZE(v) != 0) cerr << v[0]; FOR(i, 1, SIZE(v)) cerr << "," << v[i]; cerr << "]\n";} template<class T> string i2s(T &x) { ostringstream o; o << x; return o.str(); } VS split(string &s, char c = ' ') {VS all; int p = 0, np; while (np = s.find(c, p), np >= 0) {all.PB(s.substr(p, np - p)); p = np + 1;} if (p < SIZE(s)) all.PB(s.substr(p)); return all;} #define MOD 1000000007 int main(int argc, char *argv[]){ int n; cin >> n; VLL2 mines(n); REP(i,n) cin >> mines[i].X >> mines[i].Y; VII ints(n); REP(i,n){ LL l = mines[i].X-mines[i].Y; LL r = mines[i].X+mines[i].Y; int a = i, b = i; while(1){ if (a > 0 && mines[a-1].X >= l){ a--; l = min(l,mines[a].X-mines[a].Y); r = max(r,mines[a].X+mines[a].Y); } else if (b+1 < n && mines[b+1].X <= r){ b++; l = min(l,mines[b].X-mines[b].Y); r = max(r,mines[b].X+mines[b].Y); } else break; } ints[i] = MP(a,b); //cout << i << " " << a << " " << b << endl; } sort(ALL(ints)); VULL dp(n+2); dp[n] = 1; dp[n+1] = 1; int p = n-1; for(int i=n-1; i >= 0; i--){ dp[i] = dp[i+1]; while (p > 0 && ints[p].X > i) p--; if (ints[p].X != i) continue; int p2 = p; set<int> q; q.insert(ints[p].Y); while (p > 0 && ints[p-1].X == i){ p--; q.insert(ints[p].Y); } while (!q.empty()){ int v = *(q.begin()); q.erase(v); dp[i] = (dp[i] + dp[v+2]) % MOD; while (p2+1 < n && ints[p2+1].X <= v+1){ p2++; if (ints[p2].Y > v) q.insert(ints[p2].Y); } } //cout << dp[i] << endl; } //REP(i,n) cout << "(" << ints[i].X << " " << ints[i].Y << ") "; //cout << endl; //REP(i,n+2) cout << dp[i] << " "; //cout << endl; cout << dp[0] << endl; return 0; } |
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