oj.uz

Submission #720429

# Submission time Handle Problem Language Result Execution time Memory
720429 2023-04-08T08:43:12 Z Cookie Building Bridges (CEOI17_building) C++14
100 / 100
 85 ms 18096 KB 
#include<bits/stdc++.h>
#include<fstream>
using namespace std;
ifstream fin("boards.in");
ofstream fout("boards.out");
#define ll long long
#define pb push_back
#define forr(i, a, b) for(int i = a; i < b; i++)
#define dorr(i, a, b) for(int i = a; i >= b; i--)
#define ld long double
#define vt vector
#include<fstream>
#define fi first
#define se second
#define pll pair<ll, ll>
#define pii pair<int, int>
const ld PI = 3.14159265359;
const ll mod = 1e9 + 7;
const int mxn = 2e5, mxm = 1e5;
vt<ll>comp;
struct Line{
    ll m, c;
    Line(){
        m = 0; c = 1e17;
    }
    Line(ll _m, ll _c){
        m = _m; c = _c;
    }
    ll val(ll x){return(x * m + c);}
};
int n;
Line st[4 * mxn + 1];

    void upd(int nd, int l, int r, Line curr){
        if(l == r){
            if(st[nd].val(comp[l]) > curr.val(comp[l])){
                swap(st[nd], curr);
            }
            return;
        }
        int mid = (l + r) >> 1;
        if(st[nd].m > curr.m)swap(st[nd], curr);
        if(st[nd].val(comp[mid]) > curr.val(comp[mid])){
            swap(st[nd], curr);
            upd(nd << 1 | 1, mid + 1, r, curr);
        }else{
            upd(nd << 1, l, mid, curr);
        }
    }
    ll get(int nd, int l, int r, ll x){
        if(l == r){
            return(st[nd].val(x));
        }
        int mid = (l + r) >> 1;
        if(x <= comp[mid]){
            return(min(st[nd].val(x), get(nd << 1, l, mid, x)));
        }else{
            return(min(st[nd].val(x), get(nd << 1 | 1, mid + 1, r, x)));
        }
    }
int find(int x){
    return(lower_bound(comp.begin(), comp.end(), x) - comp.begin());
}
ll dp[mxn + 1], w[mxn + 1], h[mxn + 1], p[mxn + 1];
signed main(){
    
    ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
    cin >> n;
    forr(i, 1, n + 1){
        cin >> h[i]; comp.pb(h[i]);
    }
    sort(comp.begin(), comp.end());
    forr(i, 1, n + 1){
        cin >> w[i]; p[i] = p[i - 1] + w[i];
    }
    int sz = comp.size();
    dp[1] = 0;
    Line curr = Line(-2 * h[1], dp[1] + h[1] * h[1] - p[1]);
    upd(1, 0, sz - 1, curr);
    for(int i = 2; i <= n; i++){
        dp[i] = get(1, 0, sz - 1, h[i]) + h[i] * h[i] + p[i - 1];
        Line curr = Line(-2 * h[i], dp[i] + h[i] * h[i] - p[i]);
        upd(1, 0, sz - 1, curr);
        
    }
    cout << dp[n];
    return(0);
}

Subtask #1
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 12884 KB Output is correct
2 Correct 6 ms 12884 KB Output is correct
3 Correct 6 ms 12884 KB Output is correct
4 Correct 7 ms 12876 KB Output is correct
5 Correct 7 ms 12880 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 70 ms 17836 KB Output is correct
2 Correct 74 ms 17836 KB Output is correct
3 Correct 65 ms 17856 KB Output is correct
4 Correct 85 ms 17852 KB Output is correct
5 Correct 39 ms 17792 KB Output is correct

Subtask #3
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 12884 KB Output is correct
2 Correct 6 ms 12884 KB Output is correct
3 Correct 6 ms 12884 KB Output is correct
4 Correct 7 ms 12876 KB Output is correct
5 Correct 7 ms 12880 KB Output is correct
6 Correct 70 ms 17836 KB Output is correct
7 Correct 74 ms 17836 KB Output is correct
8 Correct 65 ms 17856 KB Output is correct
9 Correct 85 ms 17852 KB Output is correct
10 Correct 39 ms 17792 KB Output is correct
11 Correct 65 ms 18068 KB Output is correct
12 Correct 79 ms 17816 KB Output is correct
13 Correct 61 ms 18024 KB Output is correct
14 Correct 85 ms 18096 KB Output is correct
15 Correct 45 ms 17692 KB Output is correct
16 Correct 37 ms 17808 KB Output is correct
17 Correct 31 ms 17880 KB Output is correct
18 Correct 31 ms 17952 KB Output is correct