oj.uz

Submission #941354

# Submission time Handle Problem Language Result Execution time Memory
941354 2024-03-08T15:33:39 Z 8pete8 Building Bridges (CEOI17_building) C++17
100 / 100
 50 ms 15052 KB 
#include<iostream>
#include<stack>
#include<map>
#include<vector>
#include<string>
#include<unordered_map>
#include <queue>
#include<cstring>
#include<limits.h>
#include <cassert>
#include <cstdint>
#include<cmath>
#include<set>
#include<algorithm>
#include <iomanip>
#include<numeric> //gcd(a,b)
#include<bitset>
using namespace std;
#define ll long long
#define f first
#define endl "\n"
#define s second
#define pii pair<int,int>
#define ppii pair<int,pii>
#define vi vector<int>
#define pb push_back
#define all(x) x.begin(),x.end()
#define rall(x) x.rbegin(),x.rend()
#define F(n) for(int i=0;i<n;i++)
#define lb lower_bound
#define ub upper_bound
#define fastio ios::sync_with_stdio(false);cin.tie(NULL);
#pragma GCC optimize ("03,unroll-loops")
using namespace std;
#define int long long
#define double long double
const int mod=1e9+7,mxn=1e6+5,lg=30,inf=1e18,minf=-1e18;
int mode=1;
struct line{
	int m,c;
	mutable int p;
	int get(int x) const{return (m*x)+c;}
	bool operator<(line a)const{
		if(mode)return m>a.m;
		else return p<a.p;
	}
};
struct cht{
	multiset<line>v;
	int div(int a,int b){return (a/b)-(!(a%b==0||(a*b)>=0));}
	int intersect(multiset<line>::iterator a,multiset<line>::iterator b){return div((a->c-b->c),(b->m-a->m));}
	void cal(multiset<line>::iterator a){a->p=((a==v.end())?inf:intersect(a,next(a)));}
    bool isect(multiset<line>::iterator x,multiset<line>::iterator y)
    {
        if (y==v.end()) return x->p=inf, 0;
        if (x->m==y->m) x->p=(x->c<=y->c)?inf:-inf;
        else x->p=div(y->c-x->c, x->m-y->m);
        return x->p>=y->p;
    }
	bool bad(multiset<line>::iterator a,multiset<line>::iterator b){
		if(b==v.end())return a->p=inf,0;
		if(a->m==b->m)a->p=(a->c<=b->c)?inf:minf;
		else a->p=intersect(a,b);
		return a->p>=b->p;
	}
    void add(line nw)
    {
        auto x=v.insert(nw), y=next(x);
        while (bad(x, y)) y=v.erase(y);
        if ((y=x)!=v.begin()&&bad(--x, y)) bad(x, v.erase(y));
        while ((y=x)!=v.begin()&&(--x)->p>=y->p) bad(x, v.erase(y));
    }/*
	void add(line a){
		auto it=v.insert(a);
		while(bad(it,next(it)))v.erase(next(it));
		if(it!=v.begin()&&bad(prev(it),it))bad(prev(it),it=v.erase(it));
		if(it!=v.begin())it=prev(it);
		while(it!=v.begin()&&bad(prev(it),it)){
			bad(prev(it),it=v.erase(it));
			it=prev(it);
		}
	}*/
	int qry(int x){
		if(v.empty())return inf;
		mode=0;
		auto it=v.lb((line){0,0,x})->get(x);
		mode=1;
		return it;
	}
}t;
int v1[mxn+10],v2[mxn+10],dp[mxn+10];
int32_t main(){
	fastio
	int n;cin>>n;
	for(int i=1;i<=n;i++)cin>>v1[i];
	for(int i=1;i<=n;i++)cin>>v2[i],v2[i]+=v2[i-1];
	t.add((line){-2*v1[1],-v2[1]+(v1[1]*v1[1]),0});
	for(int i=2;i<=n;i++){
		dp[i]=t.qry(v1[i])+(v1[i]*v1[i])+v2[i-1];
		t.add((line){-2*v1[i],dp[i]-v2[i]+(v1[i]*v1[i]),0});
	}
	cout<<dp[n];
}

Subtask #1
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4444 KB Output is correct
2 Correct 2 ms 4444 KB Output is correct
3 Correct 2 ms 4444 KB Output is correct
4 Correct 2 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 36 ms 8796 KB Output is correct
2 Correct 35 ms 8656 KB Output is correct
3 Correct 34 ms 8892 KB Output is correct
4 Correct 32 ms 8796 KB Output is correct
5 Correct 34 ms 9944 KB Output is correct

Subtask #3
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4444 KB Output is correct
2 Correct 2 ms 4444 KB Output is correct
3 Correct 2 ms 4444 KB Output is correct
4 Correct 2 ms 4444 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 36 ms 8796 KB Output is correct
7 Correct 35 ms 8656 KB Output is correct
8 Correct 34 ms 8892 KB Output is correct
9 Correct 32 ms 8796 KB Output is correct
10 Correct 34 ms 9944 KB Output is correct
11 Correct 32 ms 8796 KB Output is correct
12 Correct 34 ms 8792 KB Output is correct
13 Correct 25 ms 8672 KB Output is correct
14 Correct 36 ms 9308 KB Output is correct
15 Correct 50 ms 15052 KB Output is correct
16 Correct 35 ms 9808 KB Output is correct
17 Correct 18 ms 8792 KB Output is correct
18 Correct 18 ms 8796 KB Output is correct