Submission #1293422

#TimeUsernameProblemLanguageResultExecution timeMemory
1293422yf_yusufAdvertisement 2 (JOI23_ho_t2)C++20
100 / 100
578 ms43920 KiB
//```//    YF YUSUF
// #include <bits/stdc++.h>
#include <iostream>
#include <vector>
#include <set>
#include <map>
#include <unordered_map>
#include <algorithm>
#include <cmath>
#include <numeric>
#include <queue>
#include <stack>
#include <cassert>
#include <climits>
#include <string>
#include <cstdlib>
#include <random>
#include <iomanip>
#include <ctime>
using namespace std;
#ifdef YF_CHECK
	bool LOCAL = 1;
#else
	#pragma GCC optimize ("unroll-loops")
	#pragma GCC optimize ("inline")
	#pragma GCC optimize ("Ofast")
	#pragma GCC optimize ("O3")
	bool LOCAL = 0;
#endif
using i128   = __int128;
using ll   = long long;
using ld   = long double;
using vll  = vector <ll>;
using mll  = map <ll,ll>;
using pll  = pair <ll,ll>;
using vvl  = vector <vll>;
using vpll = vector <pll>;
template<class T>T MIN(T&a,T b){a=min(a,b);return a;}
template<class T>T MAX(T&a,T b){a=max(a,b);return a;}
#define all(a) a.begin(),a.end()
#define rall(a) a.rbegin(),a.rend()
#define sgr v+v+1,(tl+tr)/2+1,tr
#define sgl v+v,tl,(tl+tr)/2
#define pb push_back
#define ins insert
#define S second
#define F first
mt19937_64 MT(time(0));
ll BP(ll a,ll b,ll mod=1e9+7){
	if(b==0)return 1;
	ll q=BP(a,b/2,mod);
	return ((q*q)%mod*(b%2?a:1ll))%mod;
}
ll f(ll x){return x*(x+1)/2;}
ll dup(ll a,ll b){return (a+b-1)/b;}
ll lcm(ll a,ll b){return a/__gcd(a,b)*b;}
ll invf(ll x){return (-1+sqrt(1+8*x))/2;}
ll lg(ll x){return (x ? 63 - __builtin_clzll(x) : -1);}
const ll  mod=998244353;
const ll  INF=1e18;
const ll  inf=1e9+7;
const ll  N  =1e6+7;
ll n;
vll x[N];
ll a[N], b[N];
int t1[N * 4], t2[N * 4];

void build (int v = 1, int tl = 1, int tr = n) {
	t1[v] = inf;
	t2[v] = -inf;
	if (tl == tr) {
		return;
	}
	int tm = tl + tr >> 1;
	build(v << 1, tl, tm);
	build(v << 1 | 1, tm + 1, tr);
}
int get1 (int l, int r, int v = 1, int tl = 1, int tr = n) {
	if (l > r) return inf;
	if (tl == l && tr == r) return t1[v];
	int tm = tl + tr >> 1;
	return min(get1(l, min(r, tm), v << 1, tl, tm), get1(max(tm + 1, l), r, v << 1 | 1, tm + 1, tr));
}

int get2 (int l, int r, int v = 1, int tl = 1, int tr = n) {
	if (l > r) return -inf;
	if (tl == l && tr == r) return t2[v];
	int tm = tl + tr >> 1;
	return max(get2(l, min(r, tm), v << 1, tl, tm), get2(max(tm + 1, l), r, v << 1 | 1, tm + 1, tr));
}


void upd1 (int pos, int val, int v = 1, int tl = 1, int tr = n) {
	if (tl == tr) {
		t1[v] = val;
		return;
	}
	int tm = tl + tr >> 1;
	if (pos <= tm) upd1(pos, val, v << 1, tl, tm);
	else upd1(pos, val, v << 1 | 1, tm + 1, tr);
	t1[v] = min(t1[v << 1], t1[v << 1 | 1]);
}

void upd2 (int pos, int val, int v = 1, int tl = 1, int tr = n) {
	if (tl == tr) {
		t2[v] = val;
		return;
	}
	int tm = tl + tr >> 1;
	if (pos <= tm) upd2(pos, val, v << 1, tl, tm);
	else upd2(pos, val, v << 1 | 1, tm + 1, tr);
	t2[v] = max(t2[v << 1], t2[v << 1 | 1]);
}

bool compX(const vll &a, const vll &b){
	if(a[0] == b[0])return a[1] < b[1];
	return a[0] < b[0];
}
bool compE(const vll &a, const vll &b){
	return a[1] < b[1];
}
bool compI(const vll &a, const vll &b){
	return a[2] < b[2];
}
void YF_MAIN(ll TEST){
	cin>>n;
	ll ans = 0;
	for(int i=1;i<=n;i++){
		x[i] = {0, 0, 0};
		cin>>x[i][0]>>x[i][1];
	}
	sort(x+1, x+n+1, compX);
	for(int i=1;i<=n;i++){
		x[i][2] = i;
		a[i] = (x[i][1] - x[i][0]);
		b[i] = (x[i][1] + x[i][0]);
	}
	build();
	sort(x+1, x+n+1, compE);
	for(int j=n; j>=1; j--){
		ll X = x[j][0];
		ll E = x[j][1];
		ll i = x[j][2];
	
		bool ok = 1;
		// cout<<get1(i, n)<<" "<<get2(1, i)<<", ";
		if(X - E >= get1(i, n)) ok = 0;
		if(X + E <= get2(1, i)) ok = 0;
		
		if(ok) ans++;
		upd1(i, X - E);
		upd2(i, X + E);
	}
	cout<<ans;
}
const bool TECT=0;
const bool FLSH=1;
const ll SN=1e0 + 7; ll SM[SN];
const ll FN=1e0 + 7; ll FACT[FN], inv[FN], FMOD=inf;
ll PER(ll n,ll k){return FACT[n] *inv[n-k]%FMOD;}
ll CNK(ll n,ll k){return PER(n,k)*inv[k  ]%FMOD;}
void BEFORE(){
	for(ll i=2;i<SN;i++){
		if(SM[i])continue;
		for(ll j=i;j<SN;j+=i)
			MAX(SM[j],i);
	}
	FACT[0]=inv[0]=1;
	for(int i=1;i<FN;i++){
		FACT[i]=FACT[i-1]*i%FMOD;
		inv[i]=BP(FACT[i],FMOD-2,FMOD);
	}
}
signed main(){
	// freopen(("input.txt"),"r",stdin);freopen(("output.txt"),"w",stdout);
	if(FLSH){
		ios_base::sync_with_stdio(0);
		cout.setf(ios::fixed);
		cout.precision(0);
		cout.tie(0);
		cin.tie(0);
	}
	cout<<(0 && LOCAL ? "\nYF_OUTPUT:\n\n" : "");
	int TEST=1;
	if(TECT)
		cin>>TEST;
	BEFORE();
	for(int T=1;T<=TEST;T++){
		// cout<<"Case "<<T<<": ";
		YF_MAIN(T);
		cout<<(T==TEST ? "" : "\n");
	}
	return 0;
} 
//   YF YUSUF ```
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