結果

問題 No.703 ゴミ拾い Easy
ユーザー penguinshunya
提出日時 2020-01-28 09:56:00
言語 C++14
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 98 ms / 1,500 ms
コード長 3,454 bytes
コンパイル時間 1,770 ms
コンパイル使用メモリ 170,956 KB
実行使用メモリ 12,672 KB
最終ジャッジ日時 2025-01-02 14:25:33
合計ジャッジ時間 6,321 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge4
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 4
other AC * 46
権限があれば一括ダウンロードができます

ソースコード

diff #
プレゼンテーションモードにする

#include <bits/stdc++.h>
#define rep(i, n) for (int i = 0; i < int(n); i++)
#define rrep(i, n) for (int i = int(n) - 1; i >= 0; i--)
#define reps(i, n) for (int i = 1; i <= int(n); i++)
#define rreps(i, n) for (int i = int(n); i >= 1; i--)
#define repc(i, n) for (int i = 0; i <= int(n); i++)
#define rrepc(i, n) for (int i = int(n); i >= 0; i--)
#define repi(i, a, b) for (int i = int(a); i < int(b); i++)
#define repic(i, a, b) for (int i = int(a); i <= int(b); i++)
#define each(x, y) for (auto &x : y)
#define all(a) (a).begin(), (a).end()
#define bit(b) (1ll << (b))
using namespace std;
using i32 = int;
using i64 = long long;
using u64 = unsigned long long;
using f80 = long double;
using vi32 = vector<i32>;
using vi64 = vector<i64>;
using vu64 = vector<u64>;
using vf80 = vector<f80>;
using vstr = vector<string>;
inline void yes() { cout << "Yes" << '\n'; exit(0); }
inline void no() { cout << "No" << '\n'; exit(0); }
inline i64 gcd(i64 a, i64 b) { if (min(a, b) == 0) return max(a, b); if (a % b == 0) return b; return gcd(b, a % b); }
inline i64 lcm(i64 a, i64 b) { return a / gcd(a, b) * b; }
inline u64 xorshift() { static u64 x = 88172645463325252ull; x = x ^ (x << 7); return x = x ^ (x >> 9); }
template <typename T> class pqasc : public priority_queue<T, vector<T>, greater<T>> {};
template <typename T> class pqdesc : public priority_queue<T, vector<T>, less<T>> {};
template <typename T> inline void amax(T &x, T y) { if (x < y) x = y; }
template <typename T> inline void amin(T &x, T y) { if (x > y) x = y; }
template <typename T> inline T exp(T x, i64 n, T e = 1) { T r = e; while (n > 0) { if (n & 1) r *= x; x *= x; n >>= 1; } return r; }
template <typename T> inline T bis(T ok, T ng, function<bool(T)> f, T eps = 1) { while (abs(ok - ng) > eps) { T mi = (ok + ng) / 2; (f(mi) ? ok : ng) 
    = mi; } return ok; }
template <typename T> istream& operator>>(istream &is, vector<T> &v) { each(x, v) is >> x; return is; }
template <typename T> ostream& operator<<(ostream &os, vector<T> &v) { rep(i, v.size()) { if (i) os << ' '; os << v[i]; } return os; }
template <typename T, typename S> istream& operator>>(istream &is, pair<T, S> &p) { is >> p.first >> p.second; return is; }
template <typename T, typename S> ostream& operator<<(ostream &os, pair<T, S> &p) { os << p.first << ' ' << p.second; return os; }
void solve(); int main() { ios::sync_with_stdio(0); cin.tie(0); cout << fixed << setprecision(16); solve(); return 0; }
struct ConvexHullTrick {
  using F = pair<i64, i64>;
  deque<F> deq;
  #define a first
  #define b second
  #define lines deq.size()
  bool invalid(F f0, F f1, F f2) {
    return (__int128_t) (f1.a - f0.a) * (f2.b - f1.b) >= (__int128_t) (f1.b - f0.b) * (f2.a - f1.a);
  }
  i64 f(F f, i64 x) {
    return f.a * x + f.b;
  }
  void add(F f) {
    while (lines >= 2 && invalid(deq[lines - 2], deq[lines - 1], f)) {
      deq.pop_back();
    }
    deq.push_back(f);
  }
  i64 min(i64 x) {
    while (lines >= 2 && f(deq[0], x) >= f(deq[1], x)) {
      deq.pop_front();
    }
    return f(deq[0], x);
  }
  #undef a
  #undef b
  #undef lines
};
i64 dp[300001];
void solve() {
  int n;
  cin >> n;
  vi64 A(n), x(n), y(n);
  cin >> A >> x >> y;
  rep(i, 300001) dp[i] = 1e18;
  dp[0] = 0;
  ConvexHullTrick cht;
  rep(i, n) {
    i64 a = -2 * x[i];
    i64 b = x[i] * x[i] + y[i] * y[i] + dp[i];
    cht.add(make_pair(a, b));
    dp[i + 1] = cht.min(A[i]) + A[i] * A[i];
  }
  cout << dp[n] << endl;
}
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