oj.uz

Submission #97948

# Submission time Handle Problem Language Result Execution time Memory
97948 2019-02-19T15:37:59 Z popovicirobert Building Bridges (CEOI17_building) C++14
100 / 100
 137 ms 31224 KB 
#include <bits/stdc++.h>
#define lsb(x) (x & (-x))
#define ll long long
#define ull unsigned long long
#define ld long double
// 217
// 44

using namespace std;

const int MAXN = (int) 1e5;

int h[MAXN + 1], w[MAXN + 1];
ll dp[MAXN + 1];

class Batch { // min

private:

    static const ll INF = 1e18;

    struct Line {
        ll a, b;
        inline ll get(ll x) {
            return 1LL * a * x + b;
        }
    };

    struct LiChao {
        LiChao *st, *dr;
        Line l;
        LiChao() {
            st = dr = NULL;
            l = {0, INF};
        }
    }*root;


public:

    Batch() {
        root = new LiChao;
    }

    inline void fix(LiChao *nod) {
        if(nod -> st == NULL) nod -> st = new LiChao;
        if(nod -> dr == NULL) nod -> dr = new LiChao;
    }

    void add(LiChao *nod, ll left, ll right, Line l) {
        fix(nod);
        Line &cur = nod -> l;
        if(l.get(left) <= cur.get(left) && l.get(right) <= cur.get(right)) {
            cur = l;
            return ;
        }
        if(l.get(left) >= cur.get(left) && l.get(right) >= cur.get(right)) {
            return ;
        }
        ll mid = (left + right) / 2;
        if(cur.get(left) > l.get(left)) {
            swap(l, cur);
        }
        if(cur.get(mid) > l.get(mid)) {
            swap(l, cur);
            add(nod -> st, left, mid, l);
        }
        else add(nod -> dr, mid + 1, right, l);
    }

    ll query(LiChao *nod, ll left, ll right, ll x) {
        fix(nod);
        ll cur = nod -> l.get(x);
        if(left == right) {
            return cur;
        }
        ll mid = (left + right) / 2;
        if(x <= mid) return min(cur, query(nod -> st, left, mid, x));
        return min(cur, query(nod -> dr, mid + 1, right, x));
    }

    void add(Line l) {
        add(root, 0, 1e9, l);
    }

    ll query(ll x) {  // x >= 0
        return query(root, 0, 1e9, x);
    }

};

int main() {
    //ifstream cin("A.in");
    //ofstream cout("A.out");
    int i, n;
    ios::sync_with_stdio(false);
    cin.tie(0), cout.tie(0);
    cin >> n;
    for(i = 1; i <= n; i++) {
        cin >> h[i];
    }
    ll sum = 0;
    for(i = 1; i <= n; i++) {
        cin >> w[i];
        sum += w[i];
    }
    Batch hull;
    hull.add({-2 * h[1], 1LL * h[1] * h[1] - w[1]});
    for(i = 2; i <= n; i++) {
        dp[i] = hull.query(h[i]) + 1LL * h[i] * h[i] - w[i];
        hull.add({-2 * h[i], 1LL * h[i] * h[i] + dp[i]});
    }
    cout << dp[n] + sum;
    //cin.close();
    //cout.close();
    return 0;
}

Subtask #1
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 384 KB Output is correct
2 Correct 3 ms 384 KB Output is correct
3 Correct 4 ms 384 KB Output is correct
4 Correct 4 ms 512 KB Output is correct
5 Correct 3 ms 512 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 83 ms 4444 KB Output is correct
2 Correct 76 ms 4472 KB Output is correct
3 Correct 80 ms 4528 KB Output is correct
4 Correct 75 ms 3192 KB Output is correct
5 Correct 93 ms 23496 KB Output is correct

Subtask #3
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 384 KB Output is correct
2 Correct 3 ms 384 KB Output is correct
3 Correct 4 ms 384 KB Output is correct
4 Correct 4 ms 512 KB Output is correct
5 Correct 3 ms 512 KB Output is correct
6 Correct 83 ms 4444 KB Output is correct
7 Correct 76 ms 4472 KB Output is correct
8 Correct 80 ms 4528 KB Output is correct
9 Correct 75 ms 3192 KB Output is correct
10 Correct 93 ms 23496 KB Output is correct
11 Correct 137 ms 17784 KB Output is correct
12 Correct 127 ms 17568 KB Output is correct
13 Correct 53 ms 3268 KB Output is correct
14 Correct 135 ms 17880 KB Output is correct
15 Correct 93 ms 31224 KB Output is correct
16 Correct 81 ms 23568 KB Output is correct
17 Correct 38 ms 3064 KB Output is correct
18 Correct 49 ms 2936 KB Output is correct