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Submission #1045504

# Submission time Handle Problem Language Result Execution time Memory
1045504 2024-08-06T04:16:26 Z phoenix0423 Building Bridges (CEOI17_building) C++17
100 / 100
 36 ms 14424 KB 
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<ll, ll> pll;
#define fastio ios::sync_with_stdio(false), cin.tie(0)
// #pragma GCC optimize("Ofast")
#define pb push_back
#define eb emplace_back
#define f first
#define s second
#define int long long
#define lowbit(x) x&-x
const int maxn = 1e6 + 5;
const int INF = 4e18;
int n;
int h[maxn], w[maxn];

struct LiChaoTree{
    struct line{
        int m, k;
        line(){}
        line(int _m, int _k) : m(_m), k(_k){}
        int operator()(int x){
            return m * x + k;
        }
    };
    struct node{
        node *l, *r;
        line ans;
        node() : l(nullptr), r(nullptr), ans(line(0, INF)){}
        node(node *nd) : l(nd->l), r(nd->r), ans(nd->ans){}
        node(line _ans) : l(nullptr), r(nullptr), ans(_ans){}
    } *rt;
    void init(){ rt = new node();}
    void upd(line cur, node *&nd, int l, int r){
        if(!nd){
            nd = new node(cur);
            return;
        }
        if(l == r){
            if(cur(l) < nd->ans(l)) nd->ans = cur;
            return;
        }
        int m = (l + r) / 2;
        if(cur(m) < nd->ans(m)) swap(cur, nd->ans);
        if(cur.m < nd->ans.m) upd(cur, nd->r, m + 1, r);
        else upd(cur, nd->l, l, m);
    }
    void upd(line cur){ upd(cur, rt, 0, maxn - 1);}
    void upd(int m, int k){ upd(line(m, k), rt, 0, maxn - 1);}
    int qry(int pos, node *nd, int l, int r){
        if(!nd) return INF;
        if(l == r) return nd->ans(pos);
        int m = (l + r) / 2;
        if(pos <= m) return min(nd->ans(pos), qry(pos, nd->l, l, m));
        else return min(nd->ans(pos), qry(pos, nd->r, m + 1, r));
    }
    int qry(int val){ return qry(val, rt, 0, maxn - 1);}
} tree;

int dp[maxn];

signed main(void){
    fastio;
    cin>>n;
    for(int i = 0; i < n; i++) cin>>h[i];
    for(int i = 0; i < n; i++) cin>>w[i];
    tree.init();
    tree.upd(-2 * h[0], h[0] * h[0] - w[0]);
    for(int i = 1; i < n; i++){
        w[i] += w[i - 1];
        dp[i] = tree.qry(h[i]) + w[i - 1] + h[i] * h[i];
        tree.upd(-2 * h[i], dp[i] + h[i] * h[i] - w[i]);
    }
    cout<<dp[n - 1]<<"\n";
}

Subtask #1
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 4444 KB Output is correct
2 Correct 0 ms 4444 KB Output is correct
3 Correct 0 ms 4444 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 26 ms 10408 KB Output is correct
2 Correct 27 ms 10572 KB Output is correct
3 Correct 28 ms 10660 KB Output is correct
4 Correct 24 ms 9996 KB Output is correct
5 Correct 18 ms 13404 KB Output is correct

Subtask #3
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 4444 KB Output is correct
2 Correct 0 ms 4444 KB Output is correct
3 Correct 0 ms 4444 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 26 ms 10408 KB Output is correct
7 Correct 27 ms 10572 KB Output is correct
8 Correct 28 ms 10660 KB Output is correct
9 Correct 24 ms 9996 KB Output is correct
10 Correct 18 ms 13404 KB Output is correct
11 Correct 36 ms 14164 KB Output is correct
12 Correct 34 ms 13904 KB Output is correct
13 Correct 25 ms 10580 KB Output is correct
14 Correct 34 ms 13968 KB Output is correct
15 Correct 18 ms 14424 KB Output is correct
16 Correct 18 ms 13404 KB Output is correct
17 Correct 14 ms 9796 KB Output is correct
18 Correct 20 ms 9800 KB Output is correct