oj.uz

Submission #1066839

# Submission time Handle Problem Language Result Execution time Memory
1066839 2024-08-20T07:56:05 Z vjudge1 Building Bridges (CEOI17_building) C++17
100 / 100
 44 ms 10620 KB 
#include <bits/stdc++.h>
using namespace std;
#define fi first
#define se second
#define pu push_back
#define ll long long
typedef pair <long,long> ii;
const int N=1e6;
long long mod=1e9;
long n,m,k;
long a[N+1],g[N+10];
ll dp[N+1];
ii b[N+10];

struct Line {
	mutable ll k, m, p;
	bool operator<(const Line& o) const { return k < o.k; }
	bool operator<(ll x) const { return p < x; }
};

struct Linecontain : multiset<Line, less<>> {

	static const ll inf = LLONG_MAX;
	ll div(ll a, ll b) {
		return a / b - ((a ^ b) < 0 && a % b); }
	bool isect(iterator x, iterator y) {
		if (y == end()) return x->p = inf, 0;
		if (x->k == y->k) x->p = x->m > y->m ? inf : -inf;
		else x->p = div(y->m - x->m, x->k - y->k);
		return x->p >= y->p;
	}
	void add(ll k, ll m) {
	    k=-k;
	    m=-m;
		auto z = insert({k, m, 0}), y = z++, x = y;
		while (isect(y, z)) z = erase(z);
		if (x != begin() && isect(--x, y)) isect(x, y = erase(y));
		while ((y = x) != begin() && (--x)->p >= y->p)
			isect(x, erase(y));
	}
	ll query(ll x) {
		assert(!empty());
		auto l = *lower_bound(x);
		return -l.k * x  -l.m;
	}
};
Linecontain lc;
Line l[N+1],s[N+1],S[N+1];
double e[N+1];


void tinh(){
    cin>>n;
    for(long i=1;i<=n;i++) {cin>>b[i].fi;}
    for(int i=1;i<=n;i++) cin>>b[i].se;
    g[n+1]=0;
    for(int i=n;i>=1;i--) {g[i]=g[i+1]+b[i].se;
    }
    k=1;
    /*
    6
    3 8 7 1 6 6
    0 -1 9 1 2 0
    */
    l[1].m=b[1].fi*b[1].fi+g[2];

    l[1].k=-2*b[1].fi;
    lc.add(l[1].k,l[1].m);
    dp[1]=0;
    for(long i=2;i<=n;i++){
        long A=-2*b[i].fi,B=0;
        ll res=lc.query(b[i].fi)+b[i].fi*b[i].fi - g[i];
        dp[i]=res;
        B=dp[i]+g[i+1]+b[i].fi*b[i].fi;
        lc.add(A,B);

     }
    cout<<dp[n];
    }
int main(){
    //freopen("jday.inp","r",stdin);
    //freopen("jday.out","w",stdout);
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);
    tinh();
    return 0;

}
//code của anh Nam đẹp trai nhất CHL

Subtask #1
30.0 / 30.0

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

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 31 ms 4620 KB Output is correct
2 Correct 37 ms 4944 KB Output is correct
3 Correct 27 ms 4944 KB Output is correct
4 Correct 26 ms 4436 KB Output is correct
5 Correct 23 ms 5580 KB Output is correct

Subtask #3
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 0 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 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 31 ms 4620 KB Output is correct
7 Correct 37 ms 4944 KB Output is correct
8 Correct 27 ms 4944 KB Output is correct
9 Correct 26 ms 4436 KB Output is correct
10 Correct 23 ms 5580 KB Output is correct
11 Correct 28 ms 4692 KB Output is correct
12 Correct 27 ms 4944 KB Output is correct
13 Correct 21 ms 4688 KB Output is correct
14 Correct 27 ms 4688 KB Output is correct
15 Correct 44 ms 10620 KB Output is correct
16 Correct 24 ms 6028 KB Output is correct
17 Correct 14 ms 4700 KB Output is correct
18 Correct 16 ms 4504 KB Output is correct