Submission #707660

# Submission time Handle Problem Language Result Execution time Memory
707660 2023-03-09T16:48:57 Z PoonYaPat Salesman (IOI09_salesman) C++14
100 / 100
565 ms 65536 KB
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef tuple<ll,ll,ll> tu;

struct seg {
    ll up,down;
} s[1<<21];

const int mx=500005;
const ll mn=-1e18;
ll n,u,d,st,best[500010],temp1[500010],temp2[500010];
vector<tu> v; //day, location, profit

void update(int l, int r, int idx, int x, ll val_up, ll val_down) {
    if (l>x || r<x) return;
    if (l==r) s[idx]={val_up,val_down};
    else {
        int mid=(l+r)/2;
        update(l,mid,2*idx,x,val_up,val_down);
        update(mid+1,r,2*idx+1,x,val_up,val_down);
        s[idx].up=max(s[2*idx].up,s[2*idx+1].up);
        s[idx].down=max(s[2*idx].down,s[2*idx+1].down);
    }
}

seg query(int l, int r, int idx, int x, int y) {
    if (x>r || y<l) return {mn,mn};
    if (x<=l && r<=y) return s[idx];
    int mid=(l+r)/2;
    seg L=query(l,mid,2*idx,x,y), R=query(mid+1,r,2*idx+1,x,y);
    return {max(L.up,R.up),max(L.down,R.down)};
}


int main() {
    ios_base::sync_with_stdio(0); cin.tie(0);
    for (int i=0; i<1<<21; ++i) s[i]={mn,mn};

    cin>>n>>u>>d>>st;
    for (int i=0; i<n; ++i) {
        ll a,b,c; cin>>a>>b>>c;
        v.push_back(tu(a,b,c));
    }
    v.push_back(tu(mx+2,st,0));
    sort(v.begin(),v.end());
    update(1,mx,1,st,(mx-st)*u,(st-1)*d);


    for (int i=0; i<=n; ) {
        int m=1;
        while (get<0>(v[i])==get<0>(v[i+m])) ++m;

        ll mmax_up=mn, mmax_down=mn;

        for (int j=i; j<i+m; ++j) {
            ll loc=get<1>(v[j]), profit=get<2>(v[j]);
            best[j]=max(query(1,mx,1,1,loc).down-(loc-1)*d, query(1,mx,1,loc+1,mx).up-(mx-loc)*u)+profit;
            temp1[j]=mmax_down-d*(loc-1)+profit;
            mmax_down=max(mmax_down, max(temp1[j],best[j])+d*(loc-1));
        }

        for (int j=i+m-1; j>=i; --j) {
            ll loc=get<1>(v[j]), profit=get<2>(v[j]);
            temp2[j]=mmax_up-u*(mx-loc)+profit;
            mmax_up=max(mmax_up, max(best[j],temp2[j])+u*(mx-loc));
        }

        for (int j=i; j<i+m; ++j) {
            best[j]=max({best[j],temp1[j],temp2[j]});
            ll loc=get<1>(v[j]);
            update(1,mx,1,loc,(mx-loc)*u+best[j],(loc-1)*d+best[j]);
        }

        i+=m;
    }

    cout<<best[n];
}
# Verdict Execution time Memory Grader output
1 Correct 15 ms 33108 KB Output is correct
2 Correct 15 ms 33148 KB Output is correct
3 Correct 14 ms 33108 KB Output is correct
4 Correct 18 ms 33248 KB Output is correct
5 Correct 18 ms 33556 KB Output is correct
6 Correct 37 ms 34580 KB Output is correct
7 Correct 68 ms 36512 KB Output is correct
8 Correct 122 ms 39764 KB Output is correct
9 Correct 179 ms 42676 KB Output is correct
10 Correct 316 ms 52200 KB Output is correct
11 Correct 338 ms 52640 KB Output is correct
12 Correct 438 ms 58076 KB Output is correct
13 Correct 437 ms 58516 KB Output is correct
14 Correct 565 ms 65536 KB Output is correct
15 Correct 528 ms 64764 KB Output is correct
16 Correct 562 ms 64712 KB Output is correct
17 Correct 14 ms 33108 KB Output is correct
18 Correct 14 ms 33108 KB Output is correct
19 Correct 17 ms 33236 KB Output is correct
20 Correct 17 ms 33348 KB Output is correct
21 Correct 16 ms 33356 KB Output is correct
22 Correct 19 ms 33676 KB Output is correct
23 Correct 18 ms 33548 KB Output is correct
24 Correct 20 ms 33516 KB Output is correct
25 Correct 111 ms 39356 KB Output is correct
26 Correct 211 ms 45484 KB Output is correct
27 Correct 341 ms 54128 KB Output is correct
28 Correct 382 ms 54984 KB Output is correct
29 Correct 563 ms 63224 KB Output is correct
30 Correct 497 ms 64076 KB Output is correct