oj.uz

Submission #941594

# Submission time Handle Problem Language Result Execution time Memory
941594 2024-03-09T07:51:24 Z 8pete8 Building Bridges (CEOI17_building) C++17
100 / 100
 45 ms 15964 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||(a*b)>=0));}
	int intersect(multiset<line>::iterator a,multiset<line>::iterator b){return div(a->c-b->c,b->m-a->m);}
	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 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];
}

Compilation message

building.cpp: In member function 'void cht::add(line)':
building.cpp:61:53: warning: operation on 'it' may be undefined [-Wsequence-point]
   61 |   if(it!=v.begin()&&bad(prev(it),it))bad(prev(it),it=v.erase(it));
      |                                                   ~~^~~~~~~~~~~~
building.cpp:64:19: warning: operation on 'it' may be undefined [-Wsequence-point]
   64 |    bad(prev(it),it=v.erase(it));
      |                 ~~^~~~~~~~~~~~

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 4440 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 37 ms 8780 KB Output is correct
2 Correct 36 ms 9812 KB Output is correct
3 Correct 36 ms 9808 KB Output is correct
4 Correct 33 ms 9560 KB Output is correct
5 Correct 36 ms 10840 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 4440 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 37 ms 8780 KB Output is correct
7 Correct 36 ms 9812 KB Output is correct
8 Correct 36 ms 9808 KB Output is correct
9 Correct 33 ms 9560 KB Output is correct
10 Correct 36 ms 10840 KB Output is correct
11 Correct 34 ms 9820 KB Output is correct
12 Correct 35 ms 9796 KB Output is correct
13 Correct 28 ms 10072 KB Output is correct
14 Correct 35 ms 10076 KB Output is correct
15 Correct 45 ms 15964 KB Output is correct
16 Correct 38 ms 10844 KB Output is correct
17 Correct 17 ms 9820 KB Output is correct
18 Correct 18 ms 10048 KB Output is correct