#include <bits/stdc++.h>
using namespace std;
// macros
typedef long long ll;
typedef long double ld;
typedef pair<int, int> ii;
typedef pair<ll, ll> lll;
typedef tuple<int, int, int> iii;
typedef vector<int> vi;
typedef vector<ii> vii;
typedef vector<iii> viii;
typedef vector<ll> vll;
typedef vector<lll> vlll;
#define REP(a,b,c) for(int a=int(b); a<int(c); a++)
#define RE(a,c) REP(a,0,c)
#define RE1(a,c) REP(a,1,c+1)
#define REI(a,b,c) REP(a,b,c+1)
#define REV(a,b,c) for(int a=int(c-1); a>=int(b); a--)
#define FOR(a,b) for(auto& a : b)
#define all(a) a.begin(), a.end()
#define INF 1e18
#define EPS 1e-9
#define pb push_back
#define popb pop_back
#define fi first
#define se second
#define sz size()
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
// input
template<class T> void IN(T& x) {cin >> x;}
template<class H, class... T> void IN(H& h, T&... t) {IN(h); IN(t...); }
// output
template<class T1, class T2> void OUT(const pair<T1,T2>& x);
template<class T> void OUT(const T& x) {cout << x;}
template<class H, class... T> void OUT(const H& h, const T&... t) {OUT(h); OUT(t...); }
template<class T1, class T2> void OUT(const pair<T1,T2>& x) {OUT(x.fi,' ',x.se);}
template<class... T> void OUTL(const T&... t) {OUT(t..., "\n"); }
template<class H> void OUTLS(const H& h) {OUTL(h); }
template<class H, class... T> void OUTLS(const H& h, const T&... t) {OUT(h,' '); OUTLS(t...); }
//===================//
// Added libraries //
//===================//
// geometry
typedef complex<ll> point;
#define x real
#define y imag
ll dot(point a, point b) {
return (conj(a) * b).x();
}
ll f(point a, ll x) {
return dot(a, {x, 1});
}
//===================//
//end added libraries//
//===================//
void program();
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
program();
}
//===================//
// begin program //
//===================//
const int MX = 1e6+10;
int n;
int h[MX], w[MX];
ll dp[MX];
ll SQ(ll x) {return x*x;}
point SEG[MX*4];
void addLine(point v, int p=0, int l=0, int r=n) {
int m = (l+r)/2;
bool lef = f(v, l) < f(SEG[p], l);
bool mid = f(v, m) < f(SEG[p], m);
if(mid) swap(SEG[p], v);
if(l+1 == r) return;
if(lef != mid) {
addLine(v, p*2+1, l, m);
} else {
addLine(v, p*2+2, m, r);
}
}
ll get(int x, int p=0, int l=0, int r=n) {
int m = (l+r)/2;
if(l+1 == r) {
return f(SEG[p], x);
} else if(x < m) {
return min(f(SEG[p], x), get(x, 2*p+1, l, m));
} else {
return min(f(SEG[p], x), get(x, 2*p+2, m, r));
}
}
void program() {
IN(n);
RE(i,n) IN(h[i]);
RE(i,n) IN(w[i]);
ll totW = 0;
RE(i,n) totW += w[i];
RE(i,MX*4) SEG[i] = point(0,INF);
dp[0] = -w[0];
addLine(point(-2*h[0], dp[0] + h[0]*h[0]));
REP(i,1,n) {
dp[i] = get(h[i]) + h[i]*h[i] - w[i];
addLine(point(-2*h[i], dp[i] + h[i]*h[i]));
}
ll ans = dp[n-1] + totW;
OUTL(ans);
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
33 ms |
62976 KB |
Output is correct |
2 |
Incorrect |
34 ms |
62976 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
70 ms |
64480 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
33 ms |
62976 KB |
Output is correct |
2 |
Incorrect |
34 ms |
62976 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |