結果

問題 No.2009 Drunkers' Contest
ユーザー fuppy_kyopro
提出日時 2022-07-15 23:14:26
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
TLE  
(最新)
AC  
(最初)
実行時間 -
コード長 7,444 bytes
コンパイル時間 2,459 ms
コンパイル使用メモリ 214,564 KB
最終ジャッジ日時 2025-01-30 08:58:01
ジャッジサーバーID
(参考情報)
judge5 / judge3
このコードへのチャレンジ
(要ログイン)
ファイルパターン 結果
sample AC * 4
other AC * 53 TLE * 1
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

/*
#pragma GCC target("avx2")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
//*/
#include <bits/stdc++.h>
// #include <atcoder/all>
using namespace std;
// using namespace atcoder;
// #define _GLIBCXX_DEBUG
#define DEBUG(x) cerr << #x << ": " << x << endl;
#define DEBUG_VEC(v) \
cerr << #v << ":"; \
for (int iiiiiiii = 0; iiiiiiii < v.size(); iiiiiiii++) \
cerr << " " << v[iiiiiiii]; \
cerr << endl;
#define DEBUG_MAT(v) \
cerr << #v << endl; \
for (int iv = 0; iv < v.size(); iv++) { \
for (int jv = 0; jv < v[iv].size(); jv++) { \
cerr << v[iv][jv] << " "; \
} \
cerr << endl; \
}
typedef long long ll;
// #define int ll
#define vi vector<int>
#define vl vector<ll>
#define vii vector<vector<int>>
#define vll vector<vector<ll>>
#define vs vector<string>
#define pii pair<int, int>
#define pis pair<int, string>
#define psi pair<string, int>
#define pll pair<ll, ll>
template <class S, class T>
pair<S, T> operator+(const pair<S, T> &s, const pair<S, T> &t) {
return pair<S, T>(s.first + t.first, s.second + t.second);
}
template <class S, class T>
pair<S, T> operator-(const pair<S, T> &s, const pair<S, T> &t) { return pair<S, T>(s.first - t.first, s.second - t.second); }
template <class S, class T>
ostream &operator<<(ostream &os, pair<S, T> p) {
os << "(" << p.first << ", " << p.second << ")";
return os;
}
#define X first
#define Y second
#define rep(i, n) for (int i = 0; i < (int)(n); i++)
#define rep1(i, n) for (int i = 1; i <= (int)(n); i++)
#define rrep(i, n) for (int i = (int)(n)-1; i >= 0; i--)
#define rrep1(i, n) for (int i = (int)(n); i > 0; i--)
#define REP(i, a, b) for (int i = a; i < b; i++)
#define in(x, a, b) (a <= x && x < b)
#define all(c) c.begin(), c.end()
void YES(bool t = true) {
cout << (t ? "YES" : "NO") << endl;
}
void Yes(bool t = true) { cout << (t ? "Yes" : "No") << endl; }
void yes(bool t = true) { cout << (t ? "yes" : "no") << endl; }
void NO(bool t = true) { cout << (t ? "NO" : "YES") << endl; }
void No(bool t = true) { cout << (t ? "No" : "Yes") << endl; }
void no(bool t = true) { cout << (t ? "no" : "yes") << endl; }
template <class T>
bool chmax(T &a, const T &b) {
if (a < b) {
a = b;
return 1;
}
return 0;
}
template <class T>
bool chmin(T &a, const T &b) {
if (a > b) {
a = b;
return 1;
}
return 0;
}
#define UNIQUE(v) v.erase(std::unique(v.begin(), v.end()), v.end());
const ll inf = 1000000001;
const ll INF = (ll)1e18 + 1;
const long double pi = 3.1415926535897932384626433832795028841971L;
int popcount(ll t) { return __builtin_popcountll(t); }
// int dx[4] = {1, 0, -1, 0}, dy[4] = {0, 1, 0, -1};
// int dx2[8] = { 1,1,0,-1,-1,-1,0,1 }, dy2[8] = { 0,1,1,1,0,-1,-1,-1 };
vi dx = {0, 0, -1, 1}, dy = {-1, 1, 0, 0};
vi dx2 = {1, 1, 0, -1, -1, -1, 0, 1}, dy2 = {0, 1, 1, 1, 0, -1, -1, -1};
struct Setup_io {
Setup_io() {
ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0);
cout << fixed << setprecision(25);
}
} setup_io;
const ll MOD = 1000000007;
// const ll MOD = 998244353;
// #define mp make_pair
//#define endl '\n'
template <typename T>
class SegmentTree {
public:
using F = function<T(T &, T &)>;
int n;
vector<T> dat;
T e;
F query_func;
F update_func;
SegmentTree(vector<T> a, F query_func, F update_func, T e) : n(a.size()), query_func(query_func), update_func(update_func), e(e) {
if (n == 0) {
a.push_back(e);
n++;
}
dat.resize(4 * n);
init(0, 0, n, a);
}
void init(int k, int l, int r, vector<T> &a) {
if (r - l == 1) {
dat[k] = a[l];
} else {
int lch = 2 * k + 1, rch = 2 * k + 2;
init(lch, l, (l + r) / 2, a);
init(rch, (l + r) / 2, r, a);
dat[k] = query_func(dat[lch], dat[rch]);
}
}
void update(int k, T a, int v, int l, int r) {
if (r - l == 1) {
dat[v] = update_func(dat[v], a);
} else {
if (k < (l + r) / 2)
update(k, a, 2 * v + 1, l, (l + r) / 2);
else {
update(k, a, 2 * v + 2, (l + r) / 2, r);
}
dat[v] = query_func(dat[v * 2 + 1], dat[v * 2 + 2]);
}
}
void update(int k, T a) {
update(k, a, 0, 0, n);
}
T query(int a, int b, int k, int l, int r) {
if (r <= a || b <= l) {
return e;
}
if (a <= l && r <= b) {
return dat[k];
} else {
T ul = query(a, b, k * 2 + 1, l, (l + r) / 2);
T ur = query(a, b, k * 2 + 2, (l + r) / 2, r);
return query_func(ul, ur);
}
}
T query(int a, int b) {
return query(a, b, 0, 0, n);
}
int find(int a, int b, int k, int l, int r, double x) {
if (dat[k] < x || r <= a || b <= l) return -1;
if (l + 1 == r) {
if (dat[k] >= x)
return l;
else
return -1;
}
int rv = find(a, b, 2 * k + 1, l, (l + r) / 2, x);
if (rv != -1) return rv;
return find(a, b, 2 * k + 2, (l + r) / 2, r, x);
}
};
double mi(double a, double b) {
return max(a, b);
}
double g(double a, double b) {
return b;
}
signed main() {
int n;
cin >> n;
vl a(n), b(n);
rep(i, n) {
cin >> a[i];
}
rep(i, n) {
cin >> b[i];
}
vl suma(n + 1), sumb(n + 1);
rep(i, n) {
suma[i + 1] = suma[i] + a[i];
sumb[i + 1] = sumb[i] + b[i];
}
vector<double> dp(n + 1);
SegmentTree<double> dpx(vector<double>(n + 1), mi, g, -inf);
dpx.update(n, inf);
dp[n] = 0;
rrep(i, n) {
double temp_x = sqrt((double)a[i] / b[i]);
if (i == 0) {
chmax(temp_x, 1.0);
}
// DEBUG(temp_x);
double nval = dpx.query(i + 1, i + 2);
if (temp_x <= nval) {
dpx.update(i, temp_x);
dp[i] = dp[i + 1] + a[i] / temp_x + b[i] * temp_x;
continue;
}
double low = nval, high = temp_x;
if (i == 0) {
chmax(low, 1.0);
}
auto f = [&](double x) {
int ok = dpx.find(i + 1, n + 1, 0, 0, n + 1, x);
// int ng = i, ok = n;
// while (ng + 1 < ok) {
// int mid = (ng + ok) / 2;
// if (dpx.query(i + 1, mid + 1) >= x) {
// ok = mid;
// } else {
// ng = mid;
// }
// }
double res = (suma[ok] - suma[i]) / x + (sumb[ok] - sumb[i]) * x;
res += dp[ok];
return res;
};
rep(_, 100) {
double x1 = (2 * low + high) / 3, x2 = (low + 2 * high) / 3;
if (f(x1) >= f(x2)) {
low = x1;
} else {
high = x2;
}
}
// DEBUG(low);
// DEBUG(f(low));
dpx.update(i, low);
dp[i] = f(low);
}
// DEBUG_VEC(dp);
// DEBUG(dpx[0]);
cout << dp[0] << endl;
}
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