Submission #53636

# Submission time Handle Problem Language Result Execution time Memory
53636 2018-06-30T15:17:38 Z Diuven Salesman (IOI09_salesman) C++11
100 / 100
845 ms 34736 KB
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
const int MX=500010, inf=(1<<30), XMX=500001;
const ll linf=(1LL<<60);

int n, d, u, s;
struct shop {
    int t, x, a;
} S[MX];

inline ll _max(ll x, ll y){
    return x<y ? y : x;
}

struct Seg {
    static const int MX=(1<<20);
    ll tree[MX]; int n;
    void init(int sz){
        n=sz;
        for(int i=1; i<MX; i++) tree[i]=-linf;
    }
    void upt(int v, int s, int e, int pos, ll val){
        if(pos<s || e<pos) return;
        if(s==e){
            tree[v]=val;
            return;
        }
        int m=(s+e)>>1;
        if(pos<=m) upt(v<<1,s,m,pos,val);
        else upt((v<<1)+1,m+1,e,pos,val);
        tree[v]=_max(tree[v<<1], tree[(v<<1)+1]);
    }
    void upt(int pos, ll val){
        upt(1,1,n,pos,val);
    }
    ll mx(int v, int s, int e, int l, int r){
        if(r<s || e<l) return -linf;
        if(l<=s && e<=r) return tree[v];
        int m=(s+e)>>1;
        return _max(mx(v<<1,s,m,l,r), mx((v<<1)+1,m+1,e,l,r));
    }
    ll mx(int l, int r){
        if(r<l) return -linf;
        return mx(1,1,n,l,r);
    }
} US, DS;


void upt(int pos, ll val){
    US.upt(pos, val-u*pos);
    DS.upt(pos, val+d*pos);
}

ll get(int x){
    ll upmx=US.mx(x,XMX)+u*x, dnmx=DS.mx(1,x)-d*x;
    return _max(upmx, dnmx);
}

ll T[MX];
ll X[MX], Y[MX];
void solve(int l, int r){
    for(int i=l; i<=r; i++)
        T[i]=get(S[i].x);
    X[l]=T[l]+S[l].a;
    for(int i=l+1; i<=r; i++)
        X[i]=_max(X[i-1]-d*(S[i].x-S[i-1].x), T[i])+S[i].a;
    
    Y[r]=T[r]+S[r].a;
    for(int i=r-1; i>=l; i--)
        Y[i]=_max(Y[i+1]-u*(S[i+1].x-S[i].x), T[i])+S[i].a;

    for(int i=l; i<=r; i++)
        upt(S[i].x, _max(X[i], Y[i]));
}

int main(){
    ios::sync_with_stdio(0); cin.tie(0);
    cin>>n>>u>>d>>s;
    for(int i=1; i<=n; i++){
        int t,x,a;
        cin>>t>>x>>a;
        S[i]={t,x,a};
    }
    sort(S+1, S+n+1, [](shop &a, shop &b){
        if(a.t==b.t) return a.x<b.x;
        return a.t<b.t;
    });
    DS.init(500001);
    US.init(500001);
    upt(s, 0);
    int pos=1;
    while(pos<=n){
        int l=pos, r=pos;
        while(r<n && S[r+1].t==S[l].t) r++;
        solve(l,r);
        pos=r+1;
    }
    cout<<get(s);
    return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 16 ms 16760 KB Output is correct
2 Correct 18 ms 16872 KB Output is correct
3 Correct 15 ms 16928 KB Output is correct
4 Correct 20 ms 16964 KB Output is correct
5 Correct 21 ms 17060 KB Output is correct
6 Correct 46 ms 17580 KB Output is correct
7 Correct 132 ms 18620 KB Output is correct
8 Correct 193 ms 20492 KB Output is correct
9 Correct 276 ms 22236 KB Output is correct
10 Correct 478 ms 27608 KB Output is correct
11 Correct 515 ms 27608 KB Output is correct
12 Correct 730 ms 31132 KB Output is correct
13 Correct 737 ms 31248 KB Output is correct
14 Correct 828 ms 34660 KB Output is correct
15 Correct 693 ms 34660 KB Output is correct
16 Correct 845 ms 34728 KB Output is correct
17 Correct 13 ms 34728 KB Output is correct
18 Correct 14 ms 34728 KB Output is correct
19 Correct 16 ms 34728 KB Output is correct
20 Correct 19 ms 34728 KB Output is correct
21 Correct 17 ms 34728 KB Output is correct
22 Correct 20 ms 34728 KB Output is correct
23 Correct 18 ms 34728 KB Output is correct
24 Correct 18 ms 34728 KB Output is correct
25 Correct 158 ms 34728 KB Output is correct
26 Correct 364 ms 34728 KB Output is correct
27 Correct 570 ms 34728 KB Output is correct
28 Correct 562 ms 34728 KB Output is correct
29 Correct 714 ms 34728 KB Output is correct
30 Correct 667 ms 34736 KB Output is correct