oj.uz

Submission #89361

# Submission time Handle Problem Language Result Execution time Memory
89361 2018-12-12T09:10:27 Z nicksona Building Bridges (CEOI17_building) C++14
100 / 100
 57 ms 11604 KB 
#include<bits/stdc++.h>
#define int long long
#define pb push_back
using namespace std;
struct Str {
	int k;
	int b;
};
Str T[8000001];
double Cross (int k1,int b1,int k2,int b2){
	if (k1==k2) return 1000000000;
	return ((double) (b2-b1)/(k1-k2));
}
void update (int p,int l,int r,int k,int b){
	double  K=Cross (k,b,T[p].k,T[p].b);
	int mid = l + r >> 1;
	//cout<<K<<endl;
	if (r<l){
		return ;
	}
	
	if(T[p].b==0&&T[p].k==0){
		T[p].k=k;
		T[p].b=b;		
		return ;
	}
	
	if((K<l||K>r)||(l==r)){
		if (l*T[p].k+T[p].b>k*l+b){
			T[p].k=k;
			T[p].b=b;
		}
		return ;
	}
	
	
	if(K>mid){
		if (l*T[p].k+T[p].b>k*l+b){
			int tempk,tempb;
			tempk=T[p].k;
			tempb=T[p].b;
			T[p].k=k;
			T[p].b=b;
			update (p+p+1,mid+1,r,tempk,tempb);
		}
		else{
			update (p+p+1,mid+1,r,k,b);	
		}
	}	
	else{
		if (r*T[p].k+T[p].b>k*r+b){
			int tempk,tempb;
			tempk=T[p].k;
			tempb=T[p].b;
			T[p].k=k;
			T[p].b=b;
			update (p+p,l,mid,tempk,tempb);
		}
		else{
			update (p+p,l,mid,k,b);	
		}
	}
}

int f (int p,int l,int r,int x){
	int mid = l + r >> 1;
	if (T[p].k==0&&T[p].b==0){
		return 1000000000000000000;
	}
	//cout<<T[p].k<<" "<<T[p].b<<endl;
	if (r==l){
		return x*T[p].k+T[p].b;
	}
	if (r<=l){
		return 1000000000000000000;
	}
	
	if (x>mid){
		return min(x*T[p].k+T[p].b,f(p+p+1,mid+1,r,x));
	}
	else{
		return min((x*T[p].k+T[p].b),f(p+p,l,mid,x));	
	}
}
int n;
int h[1000001],w[1000001];
int dp[1000001];
main () {
	ios::sync_with_stdio(false);
	cin>>n;
	for (int i=1;i<=n;i++){
		cin>>h[i];
	}
	
	for (int i=1;i<=n;i++){
		cin>>w[i];
		w[i]+=w[i-1];
	}
		
	int k,b;
	
	dp[1]=0;
	b=h[1]*h[1]-w[1];
	k=-2*h[1];	
	int N=1000000;	
	update (1,1,N,k,b);
		
	for (int i=2;i<=n;i++){
		int ans=f (1,1,N,h[i]);
		dp[i]=h[i]*h[i]+w[i-1]+ans;
		b=dp[i]+h[i]*h[i]-w[i];
		k=-2*h[i];
		update (1,1,N,k,b);
	}
	cout<<dp[n]<<endl;
	return 0;
}
/*
2
0 1000000
-20 20
  _   _   _          _
 | \ | | (_)        | |
 |  \| |  _    ___  | | __  ___    ___    _ __     __ _
 | . ` | | |  / __| | |/ / / __|  / _ \  | '_ \   / _` |
 | |\  | | | | (__  |   <  \__ \ | (_) | | | | | | (_| |
 |_| \_| |_|  \___| |_|\_\ |___/  \___/  |_| |_|  \__,_|

*/

Compilation message

building.cpp: In function 'void update(long long int, long long int, long long int, long long int, long long int)':
building.cpp:16:14: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
  int mid = l + r >> 1;
            ~~^~~
building.cpp: In function 'long long int f(long long int, long long int, long long int, long long int)':
building.cpp:66:14: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
  int mid = l + r >> 1;
            ~~^~~
building.cpp: At global scope:
building.cpp:88:7: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
 main () {
       ^

Subtask #1
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 500 KB Output is correct
3 Correct 2 ms 556 KB Output is correct
4 Correct 2 ms 556 KB Output is correct
5 Correct 2 ms 556 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 57 ms 3128 KB Output is correct
2 Correct 56 ms 3248 KB Output is correct
3 Correct 57 ms 3248 KB Output is correct
4 Correct 54 ms 3248 KB Output is correct
5 Correct 43 ms 5032 KB Output is correct

Subtask #3
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 500 KB Output is correct
3 Correct 2 ms 556 KB Output is correct
4 Correct 2 ms 556 KB Output is correct
5 Correct 2 ms 556 KB Output is correct
6 Correct 57 ms 3128 KB Output is correct
7 Correct 56 ms 3248 KB Output is correct
8 Correct 57 ms 3248 KB Output is correct
9 Correct 54 ms 3248 KB Output is correct
10 Correct 43 ms 5032 KB Output is correct
11 Correct 53 ms 5032 KB Output is correct
12 Correct 56 ms 5480 KB Output is correct
13 Correct 42 ms 6248 KB Output is correct
14 Correct 54 ms 7748 KB Output is correct
15 Correct 47 ms 11604 KB Output is correct
16 Correct 43 ms 11604 KB Output is correct
17 Correct 26 ms 11604 KB Output is correct
18 Correct 24 ms 11604 KB Output is correct