답안 #800194

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
800194 2023-08-01T11:37:22 Z Antekb Salesman (IOI09_salesman) C++17
100 / 100
469 ms 30212 KB
#include<bits/stdc++.h>

#pragma GCC optimize("Ofast")
//#pragma GCC optimize("trapv")
 
#define st first
#define nd second
#define pb push_back
#define eb emplace_back
#define pp(x) pop_back(x)
#define mp(a, b) make_pair(a, b)
#define all(x) (x).begin(), (x).end()
#define rev(x) reverse(all(x))
#define sor(x) sort(all(x))
#define sz(x) (int)(x).size()
#define rsz(x) resize(x)
 
using namespace std;
 
///~~~~~~~~~~~~~~~~~~~~~~~~~~
 
template <typename H, typename T> 
ostream& operator<<(ostream& os, pair<H, T> m){
	return os <<"("<< m.st<<", "<<m.nd<<")";
}
template <typename H> 
ostream& operator<<(ostream& os, vector<H> V){
	os<<"{";
	for(int i=0; i<V.size(); i++){
		if(i)os<<", ";
		os<<V[i];
	}
	os<<"}";
	return os;
}
 
void debug(){cerr<<"\n";}
template <typename H, typename... T>
void debug(H h, T... t) {cerr<<h; if (sizeof...(t)) cerr << ", "; debug(t...);}
#define deb(x...) cerr<<#x<<" = ";debug(x);
//#define deb(x...) ;
 
///~~~~~~~~~~~~~~~~~~~~~~~~~
 
typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef vector<int> vi;
typedef vector<pii > vii;
typedef vector<ll> vl;
typedef vector<pll> vll;
typedef string str;

#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
template <typename T>
using ordered_set =
    tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;

 
#define BOOST ios_base::sync_with_stdio(false);cin.tie(NULL);cout.tie(NULL);
 
mt19937 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
const int K=19, N=1<<K, INF=1e9+5, mod2=1e9+7, mod=998244353;

struct modint{
	int n=0;
	modint(){}
	modint(ll x){
		n=x%mod;
		if(n<0)n+=mod;
	}
	operator int(){
		return n;
	}
	modint operator+(modint a){a.n = n+a.n; if(a.n>=mod)a.n-=mod;return a;}
	modint operator+=(modint a){return (*this)=(*this)+a;}
	modint operator-(modint a){a.n = n-a.n; if(a.n<0)a.n+=mod;return a;}
	modint operator-=(modint a){return (*this)=(*this)-a;}
	modint operator*(modint a){a.n = (n*1ll*a.n)%mod; return a;}
	modint operator*=(modint a){return (*this)=(*this)*a;}
	modint operator^(const ll &m)const{
		modint a(1);
		if(m==0)return a;
		if(m==1)return (*this);
		a=(*this)^(m/2);
		a*=a;
		return a*((*this)^(m&1));
	}
	modint odw(){
		return (*this)^((ll)mod-2);
	}
	modint operator/(modint a){return (*this)*a.odw();}
	modint operator/=(modint a){return (*this)=(*this)/a;}
	bool operator==(modint a){return a.n==n;}
	friend ostream& operator<<(ostream& os, modint m) {
		return os << m.n; 
	}
};
modint fact[N], fact2[N];
typedef vector<modint> vm;
void factinit(){
    fact[0]=1;
    for(int i=1; i<N; i++){
        fact[i]=(fact[i-1]*modint(i))%mod;
    }
    fact2[N-1]=fact[N-1].odw();
    for(int i=N-2; i>=0; i--){
    	fact2[i]=(fact2[i+1]*modint(i+1))%mod;
    }
}
modint npok(int _n, int _k){
 	if(_n<_k)return 0;
    return fact[_n]*fact2[_k]*fact2[_n-_k];
}
int los(int a, int b){
	return a+(rng())%(b-a+1);
}
int dp[N];
int tab[N+N], tab2[N+N];//gora, dol
void ust(int p, int c){
	for(p+=N; p>0; p>>=1){
		tab[p]=max(tab[p], c);
	}
}
int get(int l, int r){
	int ans=-1e9;
	for(l+=N, r+=N; l<r; l>>=1, r>>=1){
		if(l&1)ans=max(ans, tab[l++]);
		if(r&1)ans=max(ans, tab[--r]);
	}
	return ans;
}
void ust2(int p, int c){
	for(p+=N; p>0; p>>=1){
		tab2[p]=max(tab2[p], c);
	}
}
int get2(int l, int r){
	int ans=-1e9;
	for(l+=N, r+=N; l<r; l>>=1, r>>=1){
		if(l&1)ans=max(ans, tab2[l++]);
		if(r&1)ans=max(ans, tab2[--r]);
	}
	return ans;
}
int main(){
	//factinit();
	for(int i=0; i<N+N; i++)tab[i]=tab2[i]=-1e9;
	int n, u, d, S;
	cin>>n>>u>>d>>S;
	vector<pair<int, pii> > V, V2;
	for(int i=0; i<n; i++){
		int t, l, w;
		cin>>t>>l>>w;
		V.eb(t, mp(l, w));
	}
	sor(V);
	ust(S, -S*u);
	ust2(S, S*d);
	int pocz=0;
	for(int i=0; i<n;i++){
		V2.pb(V[i]);
		if(i==n-1 || V[i+1].st!=V[i].st){
			vi dol(V2.size()), gora(V2.size());
			for(int j=0; j<V2.size(); j++){
				dp[pocz+j]=-1e9;
				gora[j]=get(V2[j].nd.st, N)+V2[j].nd.st*u;
				dol[j]=get2(0, V2[j].nd.st+1)-V2[j].nd.st*d;
			}
			//deb(V2, gora, dol);
			int opt=-1e9;
			for(int j=0; j<V2.size(); j++){
				if(j==0)opt=max({opt, dol[j], gora[j]});
				else opt=max({opt-d*(V2[j].nd.st-V2[j-1].nd.st), dol[j], gora[j]});
				opt+=V2[j].nd.nd;
				dp[pocz+j]=max(dp[pocz+j], opt);
			}
			opt=-1e9;
			for(int j=V2.size()-1;j>=0; j--){
				if(j+1==V2.size())opt=max({opt, dol[j], gora[j]});
				else opt=max({opt-u*(V2[j+1].nd.st-V2[j].nd.st), dol[j], gora[j]});
				opt+=V2[j].nd.nd;
				dp[pocz+j]=max(dp[pocz+j], opt);
			}
			for(int j=0; j<V2.size(); j++){
				ust(V2[j].nd.st, dp[j+pocz]-u*V2[j].nd.st);
				ust2(V2[j].nd.st, dp[j+pocz]+d*V2[j].nd.st);
			}
			//deb(dp[pocz]);
			V2.clear();
			pocz=i+1;
		}
	}
	int t=max(get2(0, S+1)-d*S, get(S, N)+u*S);
	cout<<t;
}

Compilation message

salesman.cpp: In function 'int main()':
salesman.cpp:168:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, std::pair<int, int> > >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  168 |    for(int j=0; j<V2.size(); j++){
      |                 ~^~~~~~~~~~
salesman.cpp:175:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, std::pair<int, int> > >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  175 |    for(int j=0; j<V2.size(); j++){
      |                 ~^~~~~~~~~~
salesman.cpp:183:11: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, std::pair<int, int> > >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  183 |     if(j+1==V2.size())opt=max({opt, dol[j], gora[j]});
      |        ~~~^~~~~~~~~~~
salesman.cpp:188:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, std::pair<int, int> > >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  188 |    for(int j=0; j<V2.size(); j++){
      |                 ~^~~~~~~~~~
# 결과 실행 시간 메모리 Grader output
1 Correct 7 ms 12628 KB Output is correct
2 Correct 7 ms 12624 KB Output is correct
3 Correct 7 ms 12628 KB Output is correct
4 Correct 8 ms 12636 KB Output is correct
5 Correct 11 ms 12752 KB Output is correct
6 Correct 26 ms 13456 KB Output is correct
7 Correct 54 ms 14388 KB Output is correct
8 Correct 102 ms 16080 KB Output is correct
9 Correct 139 ms 18080 KB Output is correct
10 Correct 257 ms 23156 KB Output is correct
11 Correct 296 ms 23728 KB Output is correct
12 Correct 362 ms 25028 KB Output is correct
13 Correct 357 ms 25280 KB Output is correct
14 Correct 469 ms 29456 KB Output is correct
15 Correct 443 ms 28460 KB Output is correct
16 Correct 450 ms 28600 KB Output is correct
17 Correct 7 ms 12628 KB Output is correct
18 Correct 7 ms 12604 KB Output is correct
19 Correct 8 ms 12628 KB Output is correct
20 Correct 9 ms 12628 KB Output is correct
21 Correct 8 ms 12628 KB Output is correct
22 Correct 11 ms 12756 KB Output is correct
23 Correct 10 ms 12756 KB Output is correct
24 Correct 11 ms 12756 KB Output is correct
25 Correct 95 ms 15760 KB Output is correct
26 Correct 170 ms 19172 KB Output is correct
27 Correct 279 ms 24816 KB Output is correct
28 Correct 316 ms 24580 KB Output is correct
29 Correct 401 ms 27084 KB Output is correct
30 Correct 426 ms 30212 KB Output is correct