結果

問題 No.731 等差数列がだいすき
ユーザー hamrayhamray
提出日時 2020-11-21 17:37:53
言語 C++11
(gcc 11.4.0)
結果
AC  
実行時間 553 ms / 1,500 ms
コード長 5,152 bytes
コンパイル時間 1,724 ms
コンパイル使用メモリ 165,460 KB
実行使用メモリ 6,948 KB
最終ジャッジ日時 2024-07-23 15:55:52
合計ジャッジ時間 8,819 ms
ジャッジサーバーID
（参考情報） 		judge4 / judge3
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 6 ms
6,820 KB
testcase_01 AC 7 ms
6,940 KB
testcase_02 AC 9 ms
6,940 KB
testcase_03 AC 122 ms
6,940 KB
testcase_04 AC 329 ms
6,944 KB
testcase_05 AC 124 ms
6,940 KB
testcase_06 AC 471 ms
6,940 KB
testcase_07 AC 268 ms
6,940 KB
testcase_08 AC 323 ms
6,940 KB
testcase_09 AC 410 ms
6,940 KB
testcase_10 AC 482 ms
6,940 KB
testcase_11 AC 20 ms
6,944 KB
testcase_12 AC 223 ms
6,944 KB
testcase_13 AC 307 ms
6,940 KB
testcase_14 AC 362 ms
6,940 KB
testcase_15 AC 438 ms
6,940 KB
testcase_16 AC 237 ms
6,940 KB
testcase_17 AC 544 ms
6,944 KB
testcase_18 AC 539 ms
6,944 KB
testcase_19 AC 540 ms
6,948 KB
testcase_20 AC 553 ms
6,940 KB
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ソースコード

diff # 

#include <bits/stdc++.h>
//#include <atcoder/all>
//using namespace atcoder;
#pragma GCC target ("avx2")
#pragma GCC optimization ("O3")
#pragma GCC optimization ("unroll-loops")
const double pi = 3.141592653589793238462643383279;
using namespace std;
//typedef
//------------------------------------------
typedef vector<int> VI;
typedef vector<VI> VVI;
typedef vector<string> VS;
typedef pair<int, int> PII;
typedef pair<long long, long long> PLL;
typedef pair<int, PII> TIII;
typedef long long LL;
typedef unsigned long long ULL;
typedef vector<LL> VLL;
typedef vector<VLL> VVLL;

//container util
//------------------------------------------
#define ALL(a) (a).begin(), (a).endf()
#define RALL(a) (a).rbegin(), (a).rend()
#define PB push_back
#define MP make_pair
#define SZ(a) int((a).size())
#define SQ(a) ((a) * (a))
#define EACH(i, c) for (typeof((c).begin()) i = (c).begin(); i != (c).endf(); ++i)
#define EXIST(s, e) ((s).find(e) != (s).endf())
#define SORT(c) sort((c).begin(), (c).endf())

//repetition
//------------------------------------------
#define FOR(i, s, n) for (int i = s; i < (int)n; ++i)
#define REP(i, n) FOR(i, 0, n)
#define MOD 1000000007

#define rep(i, a, b) for (int i = a; i < (b); ++i)
#define trav(a, x) for (auto &a : x)
#define all(x) x.begin(), x.end()

typedef long long ll;
typedef pair<int, int> pii;
typedef vector<int> vi;

#define chmin(x, y) x = min(x, y)
#define chmax(x, y) x = max(x, y)
const double EPS = 1e-9, PI = acos(-1);
//ここから編集    
typedef string::const_iterator State;
template< int mod >
struct ModInt {
  int x;

  ModInt() : x(0) {}

  ModInt(int64_t y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {}

  ModInt &operator+=(const ModInt &p) {
    if((x += p.x) >= mod) x -= mod;
    return *this;
  }

  ModInt &operator-=(const ModInt &p) {
    if((x += mod - p.x) >= mod) x -= mod;
    return *this;
  }

  ModInt &operator*=(const ModInt &p) {
    x = (int) (1LL * x * p.x % mod);
    return *this;
  }

  ModInt &operator/=(const ModInt &p) {
    *this *= p.inverse();
    return *this;
  }

  ModInt operator-() const { return ModInt(-x); }

  ModInt operator+(const ModInt &p) const { return ModInt(*this) += p; }

  ModInt operator-(const ModInt &p) const { return ModInt(*this) -= p; }

  ModInt operator*(const ModInt &p) const { return ModInt(*this) *= p; }

  ModInt operator/(const ModInt &p) const { return ModInt(*this) /= p; }

  bool operator==(const ModInt &p) const { return x == p.x; }

  bool operator!=(const ModInt &p) const { return x != p.x; }

  ModInt inverse() const {
    int a = x, b = mod, u = 1, v = 0, t;
    while(b > 0) {
      t = a / b;
      swap(a -= t * b, b);
      swap(u -= t * v, v);
    }
    return ModInt(u);
  }

  ModInt pow(int64_t n) const {
    ModInt ret(1), mul(x);
    while(n > 0) {
      if(n & 1) ret *= mul;
      mul *= mul;
      n >>= 1;
    }
    return ret;
  }

  friend ostream &operator<<(ostream &os, const ModInt &p) {
    return os << p.x;
  }

  friend istream &operator>>(istream &is, ModInt &a) {
    int64_t t;
    is >> t;
    a = ModInt< mod >(t);
    return (is);
  }

  static int get_mod() { return mod; }
};

using modint = ModInt< 998244353 >;
template< typename T >
struct Combination {
  vector< T > _fact, _rfact, _inv;

  Combination(int sz) : _fact(sz + 1), _rfact(sz + 1), _inv(sz + 1) {
    _fact[0] = _rfact[sz] = _inv[0] = 1;
    for(int i = 1; i <= sz; i++) _fact[i] = _fact[i - 1] * i;
    _rfact[sz] /= _fact[sz];
    for(int i = sz - 1; i >= 0; i--) _rfact[i] = _rfact[i + 1] * (i + 1);
    for(int i = 1; i <= sz; i++) _inv[i] = _rfact[i] * _fact[i - 1];
  }

  inline T fact(int k) const { return _fact[k]; }

  inline T rfact(int k) const { return _rfact[k]; }

  inline T inv(int k) const { return _inv[k]; }

  T P(int n, int r) const {
    if(r < 0 || n < r) return 0;
    return fact(n) * rfact(n - r);
  }

  T C(int p, int q) const {
    if(q < 0 || p < q) return 0;
    return fact(p) * rfact(q) * rfact(p - q);
  }

  T H(int n, int r) const {
    if(n < 0 || r < 0) return (0);
    return r == 0 ? 1 : C(n + r - 1, r);
  }
};

int N; 
vector<long double> a(1010);
long double f2(long double b, long double d){
  long double res = 0.0;
  REP(i,N){
    res += (b-a[i]+d*i) * (b-a[i]+d*i);
  }
  return res;
}
pair<long double, long double> f(long double b){
  long double low = -1e5;
  long double high = 1e5;
  int epoch = 300;
  while(epoch--){
    long double c1 = (low * 2 + high) / 3;
    long double c2 = (low + high * 2) / 3;

    if(f2(b, c1) > f2(b, c2)) low = c1;
    else high = c2;
  }
  return make_pair(b, low);
}


int main() {
    cin.tie(0);
    ios::sync_with_stdio(false);
    cout << fixed << setprecision(12);

    cin >> N;
    REP(i,N) cin >> a[i];
    long double low = -1e5;
    long double high = 1e5;
    int epoch = 300;
    while(epoch--){
      long double c1 = (low * 2.0 + high) / 3;
      long double c2 = (low + high * 2.0) / 3;
      
      if(f2(c1, f(c1).second) > f2(c2, f(c2).second)) low = c1;
      else high = c2;
    }
    cout << low << " " << f(low).second << endl;
    cout << f2(low, f(low).second) << endl;



    return 0;
}
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