oj.uz

Submission #1034842

# Submission time Handle Problem Language Result Execution time Memory
1034842 2024-07-25T19:39:22 Z MarwenElarbi Building Bridges (CEOI17_building) C++17
100 / 100
 680 ms 10576 KB 
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
using namespace std;
using namespace __gnu_pbds;
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#define fi first
#define se second
#define ll long long
#define pb push_back
#define ii pair<int,int>
template <class T>
using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
const int nax=1e6+5;
const int MOD=1e9+9;
#define optimise ios_base::sync_with_stdio(false);cin.tie(NULL);cout.tie(NULL);
const ll INF = 1e18;
struct lichao
{
    int N;
    lichao(int n)
    {
        N = n;
    }
    map<int , pair<ll,ll>> tree;
    ll f(pair<ll ,ll>line , ll x)
    {
        return line.first * x + line.second;
    }
    pair<ll ,ll> get(ll node)
    {
        return (tree.find(node) == tree.end() ? make_pair(0ll , INF) : tree[node]);
    }
    void add(ll node , int s, int e, pair<ll ,ll> new_line)
    {
        int m = (s + e)>>1;
        bool lef = f(new_line , s) < f(get(node) , s);
        bool mid = f(new_line , m) < f(get(node) , m);
        if(mid)
        {
            if(tree.find(node) != tree.end())
                swap(new_line ,tree[node]);
            else
            {
                tree[node] = new_line;
                new_line = {0 , INF};
            }
        }
        if(s + 1 == e)
            return ;
        if(mid != lef)
        {
            add(2*node , s , m , new_line);
        }
        else
            add(2*node +1 , m , e , new_line);
    }
    ll query(ll node , int s , int e , int x)
    {
        int m = (s + e)>>1;
        if(s + 1 == e){
            return f(get(node) , x);
        }
        if(x < m){
            return min(f(get(node) , x) , query(2*node , s , m , x));
        }
        else{

            return min(f(get(node) , x) , query(2*node + 1 , m , e , x));
        }
    }
    void add(pair<ll, ll> new_line)
    {
        add(1 , 0 , N , new_line);
    }
    ll query(int x)
    {
        return query(1 , 0 , N , x);
    }
};
int main()
{
    optimise;
    int n;
    cin>>n;
    ll h[n+1],w[n+1];
    for (int i = 1; i < n+1; ++i)
    {
        cin>>h[i];
    }
    for (int i = 1; i < n+1; ++i)
    {
        cin>>w[i];
    }
    long long pre[n+1];
    pre[0]=0;
    for (int i = 1; i < n+1; ++i)
    {
        pre[i]=w[i]+pre[i-1];
    }
    long long dp[n+1];
    lichao li(1e6);
    //cout <<li.query(5)<<endl;
    dp[0]=0;
    for (int i = 1; i < n+1; ++i)
    {
        dp[i]=( i!=1 ? li.query(h[i]) : 0)+h[i]*h[i]+pre[i-1];
        li.add({-2*h[i],dp[i]+(i!=1 ? h[i]*h[i] : 0)-pre[i]});
    }
    cout <<dp[n]<<endl;
}

Subtask #1
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 2 ms 348 KB Output is correct
5 Correct 3 ms 348 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 487 ms 5416 KB Output is correct
2 Correct 507 ms 5344 KB Output is correct
3 Correct 507 ms 5204 KB Output is correct
4 Correct 383 ms 4692 KB Output is correct
5 Correct 352 ms 9044 KB Output is correct

Subtask #3
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 2 ms 348 KB Output is correct
5 Correct 3 ms 348 KB Output is correct
6 Correct 487 ms 5416 KB Output is correct
7 Correct 507 ms 5344 KB Output is correct
8 Correct 507 ms 5204 KB Output is correct
9 Correct 383 ms 4692 KB Output is correct
10 Correct 352 ms 9044 KB Output is correct
11 Correct 658 ms 5968 KB Output is correct
12 Correct 666 ms 6480 KB Output is correct
13 Correct 279 ms 4700 KB Output is correct
14 Correct 680 ms 6364 KB Output is correct
15 Correct 329 ms 10576 KB Output is correct
16 Correct 356 ms 9044 KB Output is correct
17 Correct 69 ms 4444 KB Output is correct
18 Correct 66 ms 4444 KB Output is correct