#735133 (C++11) No.1826 Fruits Collecting

• 問題: No.1826 Fruits Collecting
• ユーザー: leaf_1415
• 提出日時: 2022-01-28 22:04:46
• 言語: C++11 (gcc 11.4.0)
• 結果: AC
• 実行時間: 194 ms / 2,000 ms
• コード長: 9,991 bytes
• コンパイル時間: 1,397 ms
• コンパイル使用メモリ: 119,756 KB
• 実行使用メモリ: 22,612 KB
• 最終ジャッジ日時: 2024-06-09 15:10:02
• 合計ジャッジ時間: 6,881 ms
• ジャッジサーバーID （参考情報）: judge4 / judge5

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	5 ms; 9,452 KB
testcase_01	AC	4 ms; 9,448 KB
testcase_02	AC	4 ms; 9,320 KB
testcase_03	AC	5 ms; 9,448 KB
testcase_04	AC	5 ms; 11,368 KB
testcase_05	AC	75 ms; 15,708 KB
testcase_06	AC	124 ms; 20,996 KB
testcase_07	AC	88 ms; 15,544 KB
testcase_08	AC	12 ms; 12,008 KB
testcase_09	AC	119 ms; 15,748 KB
testcase_10	AC	80 ms; 14,912 KB
testcase_11	AC	80 ms; 15,204 KB
testcase_12	AC	33 ms; 12,044 KB
testcase_13	AC	18 ms; 10,432 KB
testcase_14	AC	27 ms; 10,948 KB
testcase_15	AC	189 ms; 21,984 KB
testcase_16	AC	189 ms; 21,340 KB
testcase_17	AC	190 ms; 22,448 KB
testcase_18	AC	187 ms; 21,208 KB
testcase_19	AC	185 ms; 22,612 KB
testcase_20	AC	194 ms; 21,980 KB
testcase_21	AC	186 ms; 22,412 KB
testcase_22	AC	190 ms; 21,340 KB
testcase_23	AC	189 ms; 22,340 KB
testcase_24	AC	191 ms; 21,848 KB
testcase_25	AC	5 ms; 9,316 KB
testcase_26	AC	4 ms; 11,492 KB
testcase_27	AC	3 ms; 9,448 KB
testcase_28	AC	3 ms; 9,444 KB
testcase_29	AC	4 ms; 9,444 KB
testcase_30	AC	41 ms; 12,436 KB
testcase_31	AC	81 ms; 16,516 KB
testcase_32	AC	40 ms; 12,088 KB
testcase_33	AC	125 ms; 20,496 KB
testcase_34	AC	107 ms; 15,584 KB
testcase_35	AC	28 ms; 10,956 KB
testcase_36	AC	126 ms; 19,668 KB
testcase_37	AC	85 ms; 15,716 KB
testcase_38	AC	60 ms; 14,560 KB
testcase_39	AC	84 ms; 20,660 KB
testcase_40	AC	108 ms; 20,872 KB
testcase_41	AC	26 ms; 12,112 KB
testcase_42	AC	8 ms; 9,832 KB
testcase_43	AC	4 ms; 9,440 KB
testcase_44	AC	3 ms; 9,444 KB
testcase_45	AC	3 ms; 9,316 KB

ソースコード

#include <iostream>
#include <iomanip>
#include <cstdio>
#include <cmath>
#include <ctime>
#include <cstdlib>
#include <cassert>
#include <vector>
#include <list>
#include <stack>
#include <queue>
#include <deque>
#include <map>
#include <set>
#include <bitset>
#include <string>
#include <algorithm>
#include <utility>
#include <complex>
#include <array>
#include <unordered_set>
#include <unordered_map>
#define rep(x, s, t) for(ll x = (s); (x) <= (t); (x)++)
#define per(x, s, t) for(ll x = (s); (x) >= (t); (x)--)
#define reps(x, s) for(ll x = 0; (x) < (ll)(s).size(); (x)++)
#define chmin(x, y) (x) = min((x), (y))
#define chmax(x, y) (x) = max((x), (y))
#define sz(x) ((ll)(x).size())
#define all(x) (x).begin(),(x).end()
#define outl(...) dump_func(__VA_ARGS__)
#define outf(x) cout << fixed << setprecision(16) << (x) << endl
#define pb push_back
#define fst first
#define snd second
#define inf 2e18
#define eps 1e-9
const double PI = 3.1415926535897932384626433;

using namespace std;

typedef long long ll;
typedef unsigned long long ull;
typedef pair<ll, ll> P;

struct edge{
	ll to, cost;
	edge(){}
	edge(ll a, ll b){ to = a, cost = b;}
};
const int dx[] = {1, 0, -1, 0}, dy[] = {0, -1, 0, 1};

const int mod = 1000000007;
//const int mod = 998244353;

struct mint{
	int x;
	mint(ll y = 0){if(y < 0 || y >= mod) y = (y%mod+mod)%mod; x = y;}
	mint(const mint &ope) {x = ope.x;}
	mint operator-(){return mint(-x);}
	mint operator+(const mint &ope){return mint(x) += ope;}
	mint operator-(const mint &ope){return mint(x) -= ope;}
	mint operator*(const mint &ope){return mint(x) *= ope;}
	mint operator/(const mint &ope){return mint(x) /= ope;}
	mint& operator+=(const mint &ope){x += ope.x; if(x >= mod) x -= mod; return *this;}
	mint& operator-=(const mint &ope){x += mod - ope.x; if(x >= mod) x -= mod; return *this;}
	mint& operator*=(const mint &ope){ll tmp = x; tmp *= ope.x, tmp %= mod; x = tmp; return *this;}
	mint& operator/=(const mint &ope){
		ll n = mod-2; mint mul = ope;
		while(n){if(n & 1) *this *= mul; mul *= mul; n >>= 1;}
		return *this;
	}
	mint inverse(){return mint(1) / *this;}
	bool operator ==(const mint &ope){return x == ope.x;}
	bool operator !=(const mint &ope){return x != ope.x;}
	bool operator <(const mint &ope)const{return x < ope.x;}
};
mint modpow(mint a, ll n){
	if(n == 0) return mint(1);
	if(n % 2) return a * modpow(a, n-1);
	else return modpow(a*a, n/2);
}
istream& operator >>(istream &is, mint &ope){ll t; is >> t, ope.x = t; return is;}
ostream& operator <<(ostream &os, mint &ope){return os << ope.x;}
ostream& operator <<(ostream &os, const mint &ope){return os << ope.x;}

ll modpow(ll a, ll n, ll mod){
	if(n == 0) return 1;
	if(n % 2) return ((a%mod) * (modpow(a, n-1, mod)%mod)) % mod;
	else return modpow((a*a)%mod, n/2, mod) % mod;
}

vector<mint> fact, fact_inv;
void make_fact(int n){
	fact.resize(n+1), fact_inv.resize(n+1);
	fact[0] = mint(1); rep(i, 1, n) fact[i] = fact[i-1] * mint(i);
	fact_inv[n] = fact[n].inverse(); per(i, n-1, 0) fact_inv[i] = fact_inv[i+1] * mint(i+1);
}
mint comb(int n, int k){ if(n < 0 || k < 0 || n < k) return mint(0); return fact[n] * fact_inv[k] * fact_inv[n-k];}
mint perm(int n, int k){ return comb(n, k) * fact[k]; }

vector<int> prime, pvec, qrime;
void make_prime(int n){
	prime.resize(n+1);
	rep(i, 2, n){
		if(prime[i] == 0) pvec.push_back(i), prime[i] = i;
		for(auto p : pvec){ if(i*p > n || p > prime[i]) break; prime[i*p] = p;}
	}
}
void make_qrime(int n){
	qrime.resize(n+1);
	rep(i, 2, n){int ni = i / prime[i]; if(prime[i] == prime[ni]) qrime[i] = qrime[ni] * prime[i]; else qrime[i] = prime[i];}
}

bool exceed(ll x, ll y, ll m){return y > 0 && x >= m / y + 1;}
void mark(){ cout << "*" << endl; }
void yes(){ cout << "YES" << endl; }
void no(){ cout << "NO" << endl; }
ll floor(ll a, ll b){ if(b < 0) a *= -1, b *= -1; if(a >= 0) return a/b; else return -((-a+b-1)/b); }
ll ceil(ll a, ll b){ if(b < 0) a *= -1, b *= -1; if(a >= 0) return (a+b-1)/b; else return -((-a)/b); }
ll modulo(ll a, ll b){ b = abs(b); return a - floor(a, b) * b;}
ll sgn(ll x){ if(x > 0) return 1; if(x < 0) return -1; return 0;}
ll gcd(ll a, ll b){if(b == 0) return a; return gcd(b, a%b);}
ll lcm(ll a, ll b){return a/gcd(a, b)*b;}
ll arith(ll x){return x*(x+1)/2;}
ll arith(ll l, ll r){return arith(r) - arith(l-1);}
ll digitnum(ll x, ll b = 10){ll ret = 0; for(; x; x /= b) ret++; return ret;}
ll digitsum(ll x, ll b = 10){ll ret = 0; for(; x; x /= b) ret += x % b; return ret;}
string lltos(ll x){string ret; for(;x;x/=10) ret += x % 10 + '0'; reverse(all(ret)); return ret;}
ll stoll(string &s){ll ret = 0; for(auto c : s) ret *= 10, ret += c - '0'; return ret;}
template<typename T> void uniq(T &vec){sort(all(vec)); vec.erase(unique(all(vec)), vec.end());}
int popcount(ull x){
	x -= ((x>>1)&0x5555555555555555ULL), x = (x & 0x3333333333333333ULL) + ((x>>2) & 0x3333333333333333ULL);
	return (((x + (x>>4)) & 0x0F0F0F0F0F0F0F0FULL) * 0x0101010101010101ULL) >> 56;
}

template<class S, class T> pair<S, T>& operator+=(pair<S, T> &s, const pair<S, T> &t){s.first += t.first, s.second += t.second; return s;}
template<class S, class T> pair<S, T>& operator-=(pair<S, T> &s, const pair<S, T> &t){s.first -= t.first, s.second -= t.second; return s;}
template<class S, class T> pair<S, T> operator+(const pair<S, T> &s, const pair<S, T> &t){return pair<S,T>(s.first+t.first, s.second+t.second);}
template<class S, class T> pair<S, T> operator-(const pair<S, T> &s, const pair<S, T> &t){return pair<S,T>(s.first-t.first, s.second-t.second);}
template<class T> T dot(const pair<T, T> &s, const pair<T, T> &t){return s.first*t.first + s.second*t.second;}
template<class T> T cross(const pair<T, T> &s, const pair<T, T> &t){return s.first*t.second - s.second*t.first;}

template<typename T> ostream& operator << (ostream& os, vector<T>& vec){reps(i, vec) os << vec[i] << " "; return os;}
template<typename T> ostream& operator << (ostream& os, const vector<T>& vec){reps(i, vec) os << vec[i] << " "; return os;}
template<typename T> ostream& operator << (ostream& os, deque<T>& deq){reps(i,  deq) os << deq[i] << " "; return os;}
template<typename T, typename U> ostream& operator << (ostream& os, pair<T, U>& ope){ os << "(" << ope.first << ", " << ope.second << ")"; return os;}
template<typename T, typename U> ostream& operator << (ostream& os, const pair<T, U>& ope){ os << "(" << ope.first << ", " << ope.second << ")"; return os;}
template<typename T, typename U> ostream& operator << (ostream& os, map<T, U>& ope){ for(auto p : ope) os << "(" << p.first << ", " << p.second << "),";return os;}
template<typename T> ostream& operator << (ostream& os, set<T>& ope){for(auto x : ope) os << x << " "; return os;}
template<typename T> ostream& operator << (ostream& os, multiset<T>& ope){for(auto x : ope) os << x << " "; return os;}
template<typename T> void outa(T a[], ll s, ll t){rep(i, s, t){ cout << a[i]; if(i < t) cout << " ";} cout << endl;}
template<typename T, size_t N> ostream& operator << (ostream& os, array<T, N>& arr){reps(i, arr) os << arr[i] << " "; return os;}
template<typename T, size_t N> ostream& operator << (ostream& os, const array<T, N>& arr){reps(i, arr) os << arr[i] << " "; return os;}
void dump_func(){cout << endl;}
template <class Head, class... Tail>
void dump_func(Head &&head, Tail &&... tail){cout << head; if(sizeof...(Tail) > 0) cout << " "; dump_func(std::move(tail)...);}


struct SegTree{
	typedef ll SEG;
	
	int size;
	vector<SEG> seg;
	
	SegTree(){}
	SegTree(int size){
		this->size = size;
		seg.resize(1<<(size+1));
	}
	
	SEG id(){  //identity element
		return -inf;
	}
	SEG ope(SEG a, SEG b){ //operator
		return max(a, b);
	}
	bool comp(SEG a, SEG b){
		return a >= b;
	}
	
	void init(){
		for(int i = 0; i < (1<<(size+1)); i++) seg[i] = id();
	}
	void set(int i, SEG x){
		seg[i+(1<<size)] = x;
	}
	void setup(){
		for(int i = (1<<size)-1; i >= 1; i--) seg[i] = ope(seg[i*2], seg[i*2+1]);
	}
	void update(int i, SEG val){
		i += (1 << size);
		seg[i] = val;
		while(i > 1){
			i /= 2;
			seg[i] = ope(seg[i*2], seg[i*2+1]);
		}
	}
	SEG query(int a, int b, int k, int l, int r){
		if(b < l || r < a) return id();
		if(a <= l && r <= b) return seg[k];
		SEG lval = query(a, b, k*2, l, (l+r)/2);
		SEG rval = query(a, b, k*2+1, (l+r)/2+1, r);
		return ope(lval, rval);
	}
	SEG query(int a, int b){
		if(a > b) return id();
		return query(a, b, 1, 0, (1<<size)-1);
	}
	int left_find(int r, SEG x){ //return largest l s.t. comp(query(l, r), x) = true
		int k = r + (1<<size);
		if(comp(seg[k], x)) return r;
		
		SEG sum = seg[k];
		while(1){
			if((k&(k-1)) == 0) return -1;
			if(comp(ope(sum, seg[k-1]), x)) break;
			if(k % 2) sum = ope(sum, seg[k-1]);
			k /= 2;
		}
		k--;
		while(k < (1<<size)){
			if(comp(ope(sum, seg[k*2+1]), x)) k = k*2+1;
			else sum = ope(sum, seg[k*2+1]), k = k*2;
		}
		return k - (1<<size);
	}
	int right_find(int l, SEG x){ //return smallest r s.t. comp(query(l, r), x) = true
		int k = l + (1<<size);
		if(comp(seg[k], x)) return l;
		
		SEG sum = seg[k];
		while(1){
			if((k&(k+1)) == 0) return 1<<(size+1);
			if(comp(ope(sum, seg[k+1]), x)) break;
			if(k % 2 == 0) sum = ope(sum, seg[k+1]);
			k /= 2;
		}
		k++;
		while(k < (1<<size)){
			if(comp(ope(sum, seg[k*2]), x)) k = k*2;
			else sum = ope(sum, seg[k*2]), k = k*2+1;
		}
		return k - (1<<size);
	}
};

typedef pair<P, ll> T;
ll n;
SegTree seg(18);
ll u[200005], v[200005], w[200005];
vector<ll> comp;

int main(void)
{
	ios::sync_with_stdio(0);
	cin.tie(0);
	
	cin >> n;
	ll t, x;
	rep(i, 1, n){
		cin >> t >> x >> w[i];
		u[i] = x-t, v[i] = x+t;
		comp.pb(u[i]);
	}
	comp.pb(0), w[0] = -1;
	uniq(comp);
	
	rep(i, 0, n) u[i] = lower_bound(all(comp), u[i]) - comp.begin();
	vector<T> evec;
	rep(i, 0, n) evec.pb(T(P(v[i], -u[i]), w[i]));
	sort(all(evec));
	
	seg.init();
	for(auto q : evec){
		if(q.snd < 0){
			seg.update(-q.fst.snd, 0);
			continue;
		}
		seg.update(-q.fst.snd, seg.query(-q.fst.snd, n) + q.snd);
	}
	
	outl(seg.query(0, n));
	
	return 0;
}