# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
831040 | lalala56 | Salesman (IOI09_salesman) | C++17 | 413 ms | 51180 KiB |
This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
using namespace std;
#define PROB "Salesman"
#define ll long long
#define ull unsigned long long
#define FOR(i,a,b) for(int i=a;i<=b;(i)++)
#define FOD(i,a,b) for(int i=a;i>=b;(i)--)
#define pii pair<int,int>
#define pll pair<ll,ll>
#define fi first
#define se second
#define mp make_pair
#define SZ(x) int(x.size())
#define bit(p,i) ((p>>i)&1)
template <class T>
inline bool minimize(T &x, const T &y){ if (x > y){x = y; return 1;} return 0; }
template <class T>
inline bool maximize(T &x, const T &y){ if (x < y){x = y; return 1;} return 0; }
const int N=6e5+9;
const ll inf=1e16;
int n;
ll U,D,S;
vector<int>a[N];
pll p[N];
ll f[2][N],dp[N];
void upd(int id,ll x,int ty){
for(int i=id;i<N;i+=i&(-i))maximize(f[ty][i],x);
}
ll findd(int id,int ty){
ll res=-inf;
for(int i=id;i>0;i-=i&(-i))maximize(res,f[ty][i]);
return res;
}
bool ss(int a,int b){
return p[a].fi<p[b].fi;
}
void giai(){
cin>>n>>U>>D>>S;
FOR(i,1,N-1)f[0][i]=f[1][i]=-inf;
upd(S,S*D,0);
upd(N-S,-S*U,1);
FOR(i,1,n){
ll t,l,m;cin>>t>>l>>m;
a[t].push_back(i);
p[i]={l,m};
}
FOR(i,1,N-1){
sort(a[i].begin(),a[i].end(),ss);
vector<ll>tmp1(SZ(a[i])),tmp2(SZ(a[i]));
//int cnt=0;
FOR(j,0,SZ(a[i])-1){
int v=a[i][j];
//cout<<p[v].fi<<" ";
//++cnt;
ll l=findd(p[v].fi-1,0);
ll r=findd(N-p[v].fi-1,1);
dp[v]=max(l-p[v].fi*D,r+p[v].fi*U)+p[v].se;
//cout<<i<<" "<<v<<" "<<l<<" "<<r<<" "<<dp[v]<<" "<<dp[v]+p[v].fi*D<<" "<<dp[v]-p[v].fi*U<<'\n';
}
//if(!a[i].empty())cout<<'\n';
FOR(j,0,SZ(a[i])-1){
int v=a[i][j];
if(j==0)tmp1[j]=dp[v];
else tmp1[j]=max(dp[v],tmp1[j-1]+p[v].se-(p[v].fi-p[a[i][j-1]].fi)*D);
}
FOD(j,SZ(a[i])-1,0){
int v=a[i][j];
if(j==SZ(a[i])-1)tmp2[j]=dp[v];
else tmp2[j]=max(dp[v],tmp2[j+1]+p[v].se-(p[a[i][j+1]].fi-p[v].fi)*U);
}
FOR(j,0,SZ(a[i])-1){
//cout<<dp[a[i][j]]<<" "<<tmp1[j]<<" "<<tmp2[j]<<'\n';
maximize(dp[a[i][j]],max(tmp1[j],tmp2[j]));
}
//if(!a[i].empty())cout<<'\n';
//if(cnt>1)cout<<i<<" "<<cnt<<'\n';
for(int v:a[i]){
upd(p[v].fi,dp[v]+p[v].fi*D,0);
upd(N-p[v].fi,dp[v]-p[v].fi*U,1);
}
//cout<<'\n';
}
ll res=0;
FOR(i,1,n){
//cout<<dp[i]<<'\n';
if(S>p[i].fi)maximize(res,dp[i]-(S-p[i].fi)*D);
else maximize(res,dp[i]-(p[i].fi-S)*U);
}
cout<<res;
}
int main(){
if(fopen(PROB".inp","r")){
freopen(PROB".inp","r",stdin);
freopen(PROB".out","w",stdout);
}
ios_base::sync_with_stdio(false);
cin.tie(NULL);
giai();
}
Compilation message (stderr)
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