#include<bits/stdc++.h>
using namespace std ;
#define ll long long
#define maxn 200009
#define fi first
#define se second
#define pb push_back
#define left id<<1
#define right id<<1|1
#define re exit(0);
#define _lower(x) lower_bound(v.begin(),v.end(),x)-v.begin()+1
const int mod = 1e9+7 ;
const int INF = 1e9 ;
const int LOG = 18 ;
typedef vector<int> vi ;
typedef pair<int,int> pii ;
typedef vector<ll> vl ;
typedef vector<pii> vii ;
void add ( int &a , int b )
{
a += b ;
if ( a < 0 ) a += mod ;
if ( a >= mod ) a -= mod ;
}
template < typename T > void chkmin ( T &a , T b ) { if ( a > b ) a = b ; }
template < typename T > void chkmax ( T &a , T b ) { if ( a < b ) a = b ; }
void rf ()
{
freopen ("bai1.inp","r",stdin) ;
// freopen ("bai1.out","w",stdout) ;
}
int _pow ( int a , int n )
{
if ( n == 0 ) return 1 ;
int res = _pow (a,n/2) ;
if ( n % 2 ) return 1ll*res*res%mod*a%mod ;
else return 1ll*res*res%mod ;
}
int n ;
ll dp [maxn] ;
int h [maxn] , w [maxn] ;
ll sw [maxn] ;
ll sqr ( int x )
{
return 1ll*x*x ;
}
struct line {
int a ; ll b ;
line () { a = 0 , b = 1e18 ; } ;
line ( int _a , ll _b )
{
a = _a , b = _b ;
}
ll eval ( int x )
{
return 1ll*x*a+b ;
}
};
const int N = 2e6 ;
const int maxN = 2e6+2 ;
struct lichao {
line T [maxN*4] ;
void update ( int id , int l , int r , line nw )
{
if ( l == r )
{
if ( T[id].eval(l) > nw.eval(l) ) T [id] = nw ;
return ;
}
int mid = (l+r)/2 ;
if ( T[id].a > nw.a ) swap (T[id],nw) ;
if ( T[id].eval(mid) > nw.eval(mid) ) swap (T[id],nw) , update (right,mid+1,r,nw) ;
else update (left,l,mid,nw) ;
}
ll get ( int id , int l , int r , int x )
{
if ( l == r ) return T[id].eval(x) ;
int mid = (l+r)/2 ;
if ( x <= mid ) return min (T[id].eval(x),get(left,l,mid,x)) ;
else return min (T[id].eval(x),get(right,mid+1,r,x)) ;
}
void update ( line L )
{
update (1,1,N,L) ;
}
ll get ( int x )
{
return get (1,1,N,x) ;
}
}T;
void add_lichao ( int i )
{
line L = {-h[i],dp[i]+sqr(h[i])-sw[i]} ;
T.update (L) ;
}
int main ()
{
ios_base::sync_with_stdio(0);
cin.tie(0);cout.tie(0) ;
// rf () ;
cin >> n ;
for ( int i = 1 ; i <= n ; i ++ ) cin >> h [i] ;
for ( int i = 1 ; i <= n ; i ++ ) {
cin >> w [i] ;
sw [i] = sw [i-1] + w [i] ;
}
dp [1] = 0 ;
add_lichao (1) ;
for ( int i = 2 ; i <= n ; i ++ )
{
dp [i] = T.get(2*h[i]) + sqr (h[i]) + sw [i-1] ;
add_lichao (i) ;
}
cout << dp [n] ;
}
// range , error , check special , ...
// find key , find key
//'-std=c++11' stay hard
// there is no tomorrow
Compilation message
building.cpp: In function 'void rf()':
building.cpp:34:10: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
34 | freopen ("bai1.inp","r",stdin) ;
| ~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
34 ms |
129872 KB |
Output is correct |
2 |
Correct |
18 ms |
129704 KB |
Output is correct |
3 |
Correct |
18 ms |
129884 KB |
Output is correct |
4 |
Correct |
20 ms |
129740 KB |
Output is correct |
5 |
Correct |
18 ms |
129880 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
52 ms |
129884 KB |
Output is correct |
2 |
Correct |
52 ms |
130916 KB |
Output is correct |
3 |
Correct |
51 ms |
130900 KB |
Output is correct |
4 |
Correct |
51 ms |
130648 KB |
Output is correct |
5 |
Correct |
46 ms |
130908 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
34 ms |
129872 KB |
Output is correct |
2 |
Correct |
18 ms |
129704 KB |
Output is correct |
3 |
Correct |
18 ms |
129884 KB |
Output is correct |
4 |
Correct |
20 ms |
129740 KB |
Output is correct |
5 |
Correct |
18 ms |
129880 KB |
Output is correct |
6 |
Correct |
52 ms |
129884 KB |
Output is correct |
7 |
Correct |
52 ms |
130916 KB |
Output is correct |
8 |
Correct |
51 ms |
130900 KB |
Output is correct |
9 |
Correct |
51 ms |
130648 KB |
Output is correct |
10 |
Correct |
46 ms |
130908 KB |
Output is correct |
11 |
Correct |
64 ms |
130900 KB |
Output is correct |
12 |
Correct |
59 ms |
130648 KB |
Output is correct |
13 |
Correct |
50 ms |
130936 KB |
Output is correct |
14 |
Correct |
64 ms |
130928 KB |
Output is correct |
15 |
Correct |
44 ms |
130636 KB |
Output is correct |
16 |
Correct |
44 ms |
130764 KB |
Output is correct |
17 |
Correct |
38 ms |
130760 KB |
Output is correct |
18 |
Correct |
40 ms |
130960 KB |
Output is correct |