oj.uz

Submission #870470

# Submission time Handle Problem Language Result Execution time Memory
870470 2023-11-08T03:00:55 Z _no_name Building Bridges (CEOI17_building) C++17
100 / 100
 37 ms 13876 KB 
//Ai_2007
//Make the impossible possible
#include<bits/stdc++.h>
#define ll long long
#define fo(i,m,n) for(int i=m; i<=n; i++)
#define fod(i,m,n) for(int i=m; i>=n; i--)
#define fi first
#define se second
#define Nmax 1000001
#define pb push_back
#define pii pair<int,int>
using namespace std;
const int maxn=1e6+5;
const ll INFL=1e18;
ll n,h[maxn],w[maxn],pre[maxn],dp[maxn];
struct line {
	ll m, b;
	line() { m = 0, b = INFL; }
	line(ll m, ll b) : m(m), b(b) { }
	ll get(ll x) { return m * x + b; }
};

struct LiChao {
	struct node {
		node *l, *r;
		line x;
		node(line x) : x(x) { l = r = 0; }
	};

	node *t = new node(line());

	void upd(line x, node *&v, int l = 0, int r = maxn) {
		if (!v) { v = new node(x); return; }
		int m = (l + r) / 2;
		bool lf = x.get(l) < v->x.get(l);
		bool md = x.get(m) < v->x.get(m);
		if (md) swap(x, v->x);
		if (l == r) return;
		if (lf != md) upd(x, v->l, l, m);
		else upd(x, v->r, m+1, r);
	}

	ll get(int x, node *&v, int l = 0, int r = maxn) {
		if (!v) return INFL;
		int m = (l + r) / 2;
		if (l == r) return v->x.get(x);
		if (x < m) return min(v->x.get(x), get(x, v->l, l, m));
		else return min(v->x.get(x), get(x, v->r, m+1, r));
	}

	void add(line x) { return upd(x, t); }
	ll get(int x) { return get(x, t); }
}cht;
void solve()
{
    cin >> n;
    fo(i, 1, n) cin >> h[i];
    fo(i, 1, n)
    {
        cin >> w[i];
        pre[i] = pre[i - 1] + w[i];
    }
    cht.add({-2 * h[1], h[1] * h[1] - w[1]});
    dp[1] = 0;
    fo(i, 2, n)
    {
        dp[i] = cht.get(h[i]) + pre[i - 1] + h[i] * h[i];
        cht.add({-2 * h[i],h[i] * h[i] - pre[i] + dp[i]});
    }
    cout << dp[n];
}
main()
{
//    freopen("bridgepol.inp","r",stdin);
//    freopen("bridgepol.out","w",stdout);
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    solve();
    return 0;
}

Compilation message

building.cpp:72:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
   72 | main()
      | ^~~~

Subtask #1
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 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 34 ms 9892 KB Output is correct
2 Correct 36 ms 9812 KB Output is correct
3 Correct 35 ms 9904 KB Output is correct
4 Correct 36 ms 9672 KB Output is correct
5 Correct 25 ms 12380 KB Output is correct

Subtask #3
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 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 34 ms 9892 KB Output is correct
7 Correct 36 ms 9812 KB Output is correct
8 Correct 35 ms 9904 KB Output is correct
9 Correct 36 ms 9672 KB Output is correct
10 Correct 25 ms 12380 KB Output is correct
11 Correct 35 ms 10076 KB Output is correct
12 Correct 36 ms 10480 KB Output is correct
13 Correct 27 ms 9400 KB Output is correct
14 Correct 37 ms 10588 KB Output is correct
15 Correct 26 ms 13876 KB Output is correct
16 Correct 25 ms 12372 KB Output is correct
17 Correct 18 ms 9308 KB Output is correct
18 Correct 18 ms 9308 KB Output is correct