結果
| 問題 |
No.2010 Magical Floor
|
| コンテスト | |
| ユーザー |
|
| 提出日時 | 2022-07-15 22:11:51 |
| 言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
TLE
|
| 実行時間 | - |
| コード長 | 8,870 bytes |
| コンパイル時間 | 2,909 ms |
| コンパイル使用メモリ | 225,116 KB |
| 最終ジャッジ日時 | 2025-01-30 08:01:45 |
|
ジャッジサーバーID (参考情報) |
judge1 / judge4 |
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| ファイルパターン | 結果 |
|---|---|
| sample | AC * 1 |
| other | AC * 11 WA * 1 TLE * 9 |
コンパイルメッセージ
In file included from /usr/include/c++/13/istream:41,
from /usr/include/c++/13/sstream:40,
from /usr/include/c++/13/complex:45,
from /usr/include/c++/13/ccomplex:39,
from /usr/include/x86_64-linux-gnu/c++/13/bits/stdc++.h:127,
from main.cpp:1:
In member function ‘std::basic_ostream<_CharT, _Traits>::__ostream_type& std::basic_ostream<_CharT, _Traits>::operator<<(double) [with _CharT = char; _Traits = std::char_traits<char>]’,
inlined from ‘void print(const T&) [with T = double]’ at main.cpp:163:31,
inlined from ‘void solve()’ at main.cpp:333:10:
/usr/include/c++/13/ostream:223:25: warning: ‘ans’ may be used uninitialized [-Wmaybe-uninitialized]
223 | { return _M_insert(__f); }
| ~~~~~~~~~^~~~~
main.cpp: In function ‘void solve()’:
main.cpp:278:12: note: ‘ans’ was declared here
278 | double ans;
| ^~~
ソースコード
#include<bits/stdc++.h>
#include<ext/pb_ds/assoc_container.hpp>
#include<ext/pb_ds/tree_policy.hpp>
#include<ext/pb_ds/tag_and_trait.hpp>
#define overload4(_1, _2, _3, _4, name, ...) name
#define rep1(i, n) for (ll i = 0; i < ll(n); ++i)
#define rep2(i, s, n) for (ll i = ll(s); i < ll(n); ++i)
#define rep3(i, s, n, d) for(ll i = ll(s); i < ll(n); i+=d)
#define rep(...) overload4(__VA_ARGS__,rep3,rep2,rep1)(__VA_ARGS__)
#define rrep1(i, n) for (ll i = ll(n)-1; i >= 0; i--)
#define rrep2(i, n, t) for (ll i = ll(n)-1; i >= (ll)t; i--)
#define rrep3(i, n, t, d) for (ll i = ll(n)-1; i >= (ll)t; i-=d)
#define rrep(...) overload4(__VA_ARGS__,rrep3,rrep2,rrep1)(__VA_ARGS__)
#define all(a) a.begin(),a.end()
#define rall(a) a.rbegin(),a.rend()
#define SUM(a) accumulate(all(a),0LL)
#define MIN(a) *min_element(all(a))
#define MAX(a) *max_element(all(a))
#define SORT(a) sort(all(a));
#define REV(a) reverse(all(a));
#define SZ(a) int(a.size())
#define popcount(x) __builtin_popcountll(x)
#define pf push_front
#define pb push_back
#define ef emplace_front
#define eb emplace_back
#define ppf pop_front
#define ppb pop_back
#ifdef __LOCAL
#define debug(...) { cout << #__VA_ARGS__; cout << ": "; print(__VA_ARGS__); cout << flush; }
#else
#define debug(...) void(0);
#endif
#define INT(...) int __VA_ARGS__;scan(__VA_ARGS__)
#define LL(...) ll __VA_ARGS__;scan(__VA_ARGS__)
#define STR(...) string __VA_ARGS__;scan(__VA_ARGS__)
#define CHR(...) char __VA_ARGS__;scan(__VA_ARGS__)
#define DBL(...) double __VA_ARGS__;scan(__VA_ARGS__)
#define LD(...) ld __VA_ARGS__;scan(__VA_ARGS__)
using namespace std;
using namespace __gnu_pbds;
using ll = long long;
using ld = long double;
using P = pair<int, int>;
using LP = pair<ll, ll>;
using vi = vector<int>;
using vvi = vector<vi>;
using vvvi = vector<vvi>;
using vl = vector<ll>;
using vvl = vector<vl>;
using vvvl = vector<vvl>;
using vd = vector<double>;
using vvd = vector<vd>;
using vs = vector<string>;
using vc = vector<char>;
using vvc = vector<vc>;
using vb = vector<bool>;
using vvb = vector<vb>;
using vp = vector<P>;
using vvp = vector<vp>;
template<class T>
using PQ = priority_queue<pair<T, int>, vector<pair<T, int>>, greater<pair<T, int>>>;
template<class S, class T>
istream &operator>>(istream &is, pair<S, T> &p) { return is >> p.first >> p.second; }
template<class S, class T>
ostream &operator<<(ostream &os, const pair<S, T> &p) { return os << '{' << p.first << ", " << p.second << '}'; }
template<class S, class T, class U>
istream &operator>>(istream &is, tuple<S, T, U> &t) { return is >> get<0>(t) >> get<1>(t) >> get<2>(t); }
template<class S, class T, class U>
ostream &operator<<(ostream &os, const tuple<S, T, U> &t) {
return os << '{' << get<0>(t) << ", " << get<1>(t) << ", " << get<2>(t) << '}';
}
template<class T>
istream &operator>>(istream &is, vector<T> &v) {
for (T &t: v) { is >> t; }
return is;
}
template<class T>
ostream &operator<<(ostream &os, const vector<T> &v) {
os << '[';
rep(i, v.size()) os << v[i] << (i == int(v.size() - 1) ? "" : ", ");
return os << ']';
}
template<class T>
ostream &operator<<(ostream &os, const deque<T> &v) {
os << '[';
rep(i, v.size()) os << v[i] << (i == int(v.size() - 1) ? "" : ", ");
return os << ']';
}
template<class T>
ostream &operator<<(ostream &os, const set<T> &st) {
os << '{';
auto it = st.begin();
while (it != st.end()) {
os << (it == st.begin() ? "" : ", ") << *it;
it++;
}
return os << '}';
}
template<class T>
ostream &operator<<(ostream &os, const multiset<T> &st) {
os << '{';
auto it = st.begin();
while (it != st.end()) {
os << (it == st.begin() ? "" : ", ") << *it;
it++;
}
return os << '}';
}
template<class T, class U>
ostream &operator<<(ostream &os, const map<T, U> &mp) {
os << '{';
auto it = mp.begin();
while (it != mp.end()) {
os << (it == mp.begin() ? "" : ", ") << *it;
it++;
}
return os << '}';
}
template<class T>
void vecout(const vector<T> &v, char div = '\n') {
rep(i, v.size()) cout << v[i] << (i == int(v.size() - 1) ? '\n' : div);
}
template<class T>
bool constexpr chmin(T &a, T b) {
if (a > b) {
a = b;
return true;
}
return false;
}
template<class T>
bool constexpr chmax(T &a, T b) {
if (a < b) {
a = b;
return true;
}
return false;
}
void scan() {}
template<class Head, class... Tail>
void scan(Head &head, Tail &... tail) {
cin >> head;
scan(tail...);
}
template<class T>
void print(const T &t) { cout << t << '\n'; }
template<class Head, class... Tail>
void print(const Head &head, const Tail &... tail) {
cout << head << ' ';
print(tail...);
}
template<class T>
vector<T> &operator+=(vector<T> &v, T x) {
for (T &t: v) t += x;
return v;
}
template<class T>
vector<T> &operator-=(vector<T> &v, T x) {
for (T &t: v) t -= x;
return v;
}
template<class T>
vector<T> &operator*=(vector<T> &v, T x) {
for (T &t: v) t *= x;
return v;
}
template<class T>
vector<T> &operator/=(vector<T> &v, T x) {
for (T &t: v) t /= x;
return v;
}
struct Init_io {
Init_io() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
cout.tie(nullptr);
cout << boolalpha << fixed << setprecision(15);
cerr << boolalpha << fixed << setprecision(15);
}
} init_io;
const string yes[] = {"no", "yes"};
const string Yes[] = {"No", "Yes"};
const string YES[] = {"NO", "YES"};
const int inf = 1001001001;
const ll linf = 1001001001001001001;
void rearrange(const vi &) {}
template<class T, class... Tail>
void rearrange(const vi &ord, vector<T> &head, Tail &...tail) {
assert(ord.size() == head.size());
vector<T> ori = head;
rep(i, ord.size()) head[i] = ori[ord[i]];
rearrange(ord, tail...);
}
template<class T, class... Tail>
void sort_by(vector<T> &head, Tail &... tail) {
vi ord(head.size());
iota(all(ord), 0);
sort(all(ord), [&](int i, int j) { return head[i] < head[j]; });
rearrange(ord, head, tail...);
}
template<class T, class S>
vector<T> cumsum(const vector<S> &v, bool shift_one = true) {
int n = v.size();
vector<T> res;
if (shift_one) {
res.resize(n + 1);
rep(i, n) res[i + 1] = res[i] + v[i];
} else {
res.resize(n);
if (n) {
res[0] = v[0];
rep(i, 1, n) res[i] = res[i - 1] + v[i];
}
}
return res;
}
vvi graph(int n, int m, bool directed = false, int origin = 1) {
vvi G(n);
rep(_, m) {
INT(u, v);
u -= origin, v -= origin;
G[u].pb(v);
if (!directed) G[v].pb(u);
}
return G;
}
template<class T>
vector<vector<pair<int, T>>> weighted_graph(int n, int m, bool directed = false, int origin = 1) {
vector<vector<pair<int, T>>> G(n);
rep(_, m) {
int u, v;
T w;
scan(u, v, w);
u -= origin, v -= origin;
G[u].eb(v, w);
if (!directed) G[v].eb(u, w);
}
return G;
}
void solve() {
INT(n);
LL(x);
vl h(n);
scan(h);
rrep(i, n - 1) h[i + 1] -= h[i];
vd a(n);
double ans;
rep(i, n) {
LL(l);
if (!i) ans = l * x;
if (l == 0) a[i] = 1e10;
else a[i] = 1. / l;
}
debug(h, a, ans);
rep(i, 1, n) {
if (a[i - 1] > 1e9) break;
double l = 0, r;
{
double ok = 0, ng = 1;
auto f = [&](double sn) -> bool {
double sum = 0;
rep(j, i) {
double tn = tan(asin(min(1., sn)));
sum += tn * h[j];
sn *= (double) a[j + 1] / a[j];
if (sn > 1 + 1e8) return false;
}
return sum * 2 <= x;
};
rep(_, 100) {
double mid = (ng + ok) / 2;
if (f(mid)) ok = mid;
else ng = mid;
}
r = ok;
}
debug(i, r);
auto f = [&](double sn) -> double {
double res = 0;
double sum = 0;
rep(j, i) {
double tn = tan(asin(min(1., sn)));
double cs = sqrt(1. - sn * sn);
sum += tn * h[j];
res += h[j] / cs / a[j];
debug(sn, tn, cs, sum, res);
sn *= (double) a[j + 1] / a[j];
}
res *= 2;
res += max(0., x - sum * 2) / a[i];
return res;
};
rep(_, 100) {
double m1 = (l * 2 + r) / 3;
double m2 = (l + r * 2) / 3;
if (f(m1) < f(m2)) r = m2;
else l = m1;
}
debug(l, f(l));
chmin(ans, f(l));
}
print(ans);
}
int main() {
int t;
cin >> t;
rep(i, t) solve();
}