Submission #1195188

#TimeUsernameProblemLanguageResultExecution timeMemory
1195188hafoSalesman (IOI09_salesman)C++20
15 / 100
890 ms84716 KiB
#include <bits/stdc++.h>
#define ll long long
#define ull unsigned ll
#define pb push_back
#define pa pair<int, int>
#define pall pair<ll, int>
#define fi first
#define se second
#define TASK "test"
#define Size(x) (int) x.size()
#define all(x) x.begin(), x.end()
using namespace std;

template<typename T1, typename T2> bool mini (T1 &a, T2 b) {if(a > b) a = b; else return 0; return 1;}
template<typename T1, typename T2> bool maxi (T1 &a, T2 b) {if(a < b) a = b; else return 0; return 1;}

const int MOD = 1e9 + 7;
const int LOG = 20;
const int maxn = 5e5 + 7;
const ll oo = (ll) 1e18 + 69;
const int lim = 5e5 + 1;

int n, u, d, s, f[maxn];
pa sameDay[maxn];
vector<int> val;
ll dp[maxn][2];

struct market {
    int t, l, m;

    friend bool operator < (market a, market b) {
        if(a.t == b.t) return a.l < b.l;
        return a.t < b.t;
    }

} a[maxn];

struct ST{
    struct node {
        ll mx;
        friend node operator + (node a, node b) {
            maxi(a.mx, b.mx);
            return a;
        }
    };

    node st[4 * maxn];

    void init() {
        for(int i = 0; i <= 4 * lim; i++) {
            st[i].mx = -oo;
        }
    }

    void update(int id, int l, int r, int pos, ll val) {
        if(pos < l || pos > r) return;
        if(l == r) {
            st[id].mx = val;
            return;
        }
        int mid = l + r >> 1;
        update(id << 1, l, mid, pos, val);
        update(id << 1 | 1, mid + 1, r, pos, val);
        st[id] = st[id << 1] + st[id << 1 | 1];
    }   

    node get(int id, int l, int r, int u, int v) {
        if(r < u || l > v) return {-oo};
        if(u <= l && r <= v) return st[id];
        int mid = l + r >> 1;
        return get(id << 1, l, mid, u, v) + get(id << 1 | 1, mid + 1, r, u, v);
    }

} st[2][2];

int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);

    //freopen(TASK".inp", "r", stdin);
    //freopen(TASK".out", "w", stdout);

    cin>>n>>u>>d>>s;
    a[0] = {0, s, 0};
    val.pb(0);
    for(int i = 1; i <= n; i++) {
        cin>>a[i].t>>a[i].l>>a[i].m;
        val.pb(a[i].t);
    }  

    sort(all(val));
    val.erase(unique(all(val)), val.end());
    sort(a + 1, a + 1 + n);
    for(int i = 0; i <= n; i++) {
        if(i == 0 || a[i].t != a[i - 1].t) {
            sameDay[a[i].t].fi = i;
        }
        if(i + 1 > n || a[i].t != a[i + 1].t) {
            sameDay[a[i].t].se = i;
        }
        if(i > 0) f[i] = f[i - 1] + a[i].m;
    }

    for(int i = 0; i <= n; i++) {
        for(int j = 0; j < 2; j++) dp[i][j] = -oo;
    }
    dp[0][1] = 0;
    for(int i = 0; i < 2; i++) {
        for(int j = 0; j < 2; j++) st[i][j].init();
    }
    st[1][0].update(1, 1, lim, s, s * d);
    st[1][1].update(1, 1, lim, s, -s * u);

    for(int x:val){
        if(x == 0) continue;
        for(int i = sameDay[x].fi; i <= sameDay[x].se; i++) {
            dp[i][0] = st[1][0].get(1, 1, lim, 1, a[i].l).mx - a[i].l * d + a[i].m;
            maxi(dp[i][0], st[1][1].get(1, 1, lim, a[i].l, lim).mx + a[i].l * u + a[i].m);
            
            st[0][0].update(1, 1, lim, a[i].l, dp[i][0] + a[i].l * d - f[i - 1]);    
            st[0][1].update(1, 1, lim, a[i].l, dp[i][0] - a[i].l * u + f[i]);    
        }

        for(int i = sameDay[x].fi; i <= sameDay[x].se; i++) {
            dp[i][1] = st[0][0].get(1, 1, lim, 1, a[i].l).mx - a[i].l * d + f[i - 1];
            maxi(dp[i][1], st[0][1].get(1, 1, lim, a[i].l, lim).mx + a[i].l * u - f[i]);

            st[1][0].update(1, 1, lim, a[i].l, dp[i][0] + a[i].l * d);    
            st[1][1].update(1, 1, lim, a[i].l, dp[i][0] - a[i].l * u);    
        }

        for(int i = sameDay[x].fi; i <= sameDay[x].se; i++) {
            st[0][0].update(1, 1, lim, a[i].l, -oo);
            st[0][1].update(1, 1, lim, a[i].l, -oo);
        }
    }

    ll ans = 0;
    for(int i = 1; i <= n; i++) {
        maxi(ans, dp[i][1] - abs(s - a[i].l) * (s < a[i].l ? u:d));
    }
    cout<<ans;
    return 0;
}
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