Submission #263249

#	Time	Username	Problem	Language	Result	Execution time	Memory
263249		alexandra_udristoiu	Building Bridges (CEOI17_building)	C++14	30 / 100	129 ms	5800 KiB

building

#include<iostream>
#define DIM 100005
#define x first
#define y second
using namespace std;
int n, i, m;
int h[DIM], w[DIM];
pair<int, int> aint[40 * DIM], p[DIM];
long long sum, d[DIM];
long long calc(pair<int, int> p, int a){
    return p.x * 1LL * a + p.y;
}
void build(int nod, int st, int dr){
    aint[nod] = p[1];
    if(st != dr){
        int mid = (st + dr) / 2;
        build(2 * nod, st, mid);
        build(2 * nod + 1, mid + 1, dr);
    }
}
void update(int nod, int st, int dr, pair<int, int> p){
    int mid = (st + dr) / 2;
    if( calc(aint[nod], mid) > calc(p, mid) ){
        swap(aint[nod], p);
    }
    if(st != dr){
        if( calc(aint[nod], st) < calc(p, st) ){
            update(2 * nod + 1, mid + 1, dr, p);
        }
        else{
            update(2 * nod, st, mid, p);
        }
    }
}
long long query(int nod, int st, int dr, int p){
    if(st == dr){
        return calc(aint[nod], p);
    }
    else{
        int mid = (st + dr) / 2;
        long long x;
        if(p <= mid){
            x = query(2 * nod, st, mid, p);
        }
        else{
            x = query(2 * nod + 1, mid + 1, dr, p);
        }
        return min(x, calc(aint[nod], p) );
    }
}
int main(){
    cin>> n;
    for(i = 1; i <= n; i++){
        cin>> h[i];
    }
    for(i = 1; i <= n; i++){
        cin>> w[i];
        m = max(m, h[i]);
        sum += w[i];
        p[i].y = h[i] * 1LL * h[i] - w[i];
        p[i].x = -2 * h[i];
    }
    build(1, 0, m);
    for(i = 2; i <= n; i++){
        d[i] = query(1, 0, m, h[i]) - w[i] + h[i] * 1LL * h[i];
        p[i].y = d[i] + h[i] * 1LL * h[i];
        update(1, 0, m, p[i]);
    }
    cout<< d[n] + sum;
}

• Subtask 1: 30 / 30
• Subtask 2: 0 / 30
• Subtask 3: 0 / 40