結果
問題 | No.1835 Generalized Monty Hall Problem |
ユーザー | kyon2326 |
提出日時 | 2022-02-11 22:36:29 |
言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
結果 |
AC
|
実行時間 | 2 ms / 1,000 ms |
コード長 | 14,230 bytes |
コンパイル時間 | 4,534 ms |
コンパイル使用メモリ | 267,336 KB |
実行使用メモリ | 6,944 KB |
最終ジャッジ日時 | 2024-06-27 20:12:05 |
合計ジャッジ時間 | 4,436 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 | 2 ms
6,816 KB |
testcase_01 | AC | 2 ms
6,816 KB |
testcase_02 | AC | 1 ms
6,944 KB |
testcase_03 | AC | 2 ms
6,940 KB |
testcase_04 | AC | 2 ms
6,940 KB |
testcase_05 | AC | 2 ms
6,944 KB |
testcase_06 | AC | 2 ms
6,940 KB |
testcase_07 | AC | 2 ms
6,940 KB |
testcase_08 | AC | 2 ms
6,940 KB |
testcase_09 | AC | 2 ms
6,940 KB |
testcase_10 | AC | 2 ms
6,940 KB |
testcase_11 | AC | 2 ms
6,940 KB |
testcase_12 | AC | 2 ms
6,944 KB |
testcase_13 | AC | 1 ms
6,940 KB |
testcase_14 | AC | 2 ms
6,944 KB |
コンパイルメッセージ
main.cpp:186:31: warning: 'template<class _Category, class _Tp, class _Distance, class _Pointer, class _Reference> struct std::iterator' is deprecated [-Wdeprecated-declarations] 186 | class iterator : std::iterator<std::forward_iterator_tag, std::tuple<decltype(*std::declval<T>().begin())...>> { | ^~~~~~~~ In file included from /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/bits/stl_algobase.h:65, from /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/bits/specfun.h:45, from /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/cmath:1935, from /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/x86_64-pc-linux-gnu/bits/stdc++.h:41, from main.cpp:4: /home/linuxbrew/.linuxbrew/Cellar/gcc@12/12.3.0/include/c++/12/bits/stl_iterator_base_types.h:127:34: note: declared here 127 | struct _GLIBCXX17_DEPRECATED iterator | ^~~~~~~~
ソースコード
#define _USE_MATH_DEFINES #define _EXT_CODECVT_SPECIALIZATIONS_H 1 #define _EXT_ENC_FILEBUF_H 1 #include <bits/stdc++.h> #include <bits/extc++.h> using namespace std; #include <boost/rational.hpp> using rational = boost::rational<long long>; /* #include <atcoder/all> using namespace atcoder; */ /* #include <boost/multiprecision/cpp_int.hpp> #include <boost/multiprecision/cpp_dec_float.hpp> using bll = boost::multiprecision::cpp_int; using bdouble = boost::multiprecision::number<boost::multiprecision::cpp_dec_float<100>>; using namespace boost::multiprecision; */ #if defined(LOCAL_TEST) || defined(LOCAL_DEV) #define BOOST_STACKTRACE_USE_ADDR2LINE #define BOOST_STACKTRACE_ADDR2LINE_LOCATION /usr/local/opt/binutils/bin/addr2line #define _GNU_SOURCE 1 #include <boost/stacktrace.hpp> #endif #ifdef LOCAL_TEST namespace std { template <typename T> class dvector : public std::vector<T> { public: using std::vector<T>::vector; template <typename T_ = T, typename std::enable_if_t<std::is_same_v<T_, bool>, std::nullptr_t> = nullptr> std::vector<bool>::reference operator[](std::size_t n) { if (this->size() <= n) { std::cerr << boost::stacktrace::stacktrace() << '\n' << "vector::_M_range_check: __n (which is " << n << ") >= this->size() (which is " << this->size() << ")" << '\n'; } return this->at(n); } template <typename T_ = T, typename std::enable_if_t<std::is_same_v<T_, bool>, std::nullptr_t> = nullptr> const T_ operator[](std::size_t n) const { if (this->size() <= n) { std::cerr << boost::stacktrace::stacktrace() << '\n' << "vector::_M_range_check: __n (which is " << n << ") >= this->size() (which is " << this->size() << ")" << '\n'; } return this->at(n); } template <typename T_ = T, typename std::enable_if_t<!std::is_same_v<T_, bool>, std::nullptr_t> = nullptr> T_& operator[](std::size_t n) { if (this->size() <= n) { std::cerr << boost::stacktrace::stacktrace() << '\n' << "vector::_M_range_check: __n (which is " << n << ") >= this->size() (which is " << this->size() << ")" << '\n'; } return this->at(n); } template <typename T_ = T, typename std::enable_if_t<!std::is_same_v<T_, bool>, std::nullptr_t> = nullptr> const T_& operator[](std::size_t n) const { if (this->size() <= n) { std::cerr << boost::stacktrace::stacktrace() << '\n' << "vector::_M_range_check: __n (which is " << n << ") >= this->size() (which is " << this->size() << ")" << '\n'; } return this->at(n); } }; template <typename T, typename Compare = std::less<T>, typename Allocator = std::allocator<T>> class dmultiset : public std::multiset<T,Compare,Allocator> { public: using std::multiset<T,Compare,Allocator>::multiset; const typename std::multiset<T,Compare,Allocator>::iterator erase(const typename std::multiset<T,Compare,Allocator>::iterator it) { return std::multiset<T,Compare,Allocator>::erase(it); } std::size_t erase([[maybe_unused]] const T& x) { std::cerr << boost::stacktrace::stacktrace() << '\n'; assert(false); } std::size_t erase_all_elements(const T& x) { return std::multiset<T,Compare,Allocator>::erase(x); } }; } #define vector dvector #define multiset dmultiset class SIGFPE_exception : std::exception {}; class SIGSEGV_exception : std::exception {}; void catch_SIGFPE([[maybe_unused]] int e) { std::cerr << boost::stacktrace::stacktrace() << '\n'; throw SIGFPE_exception(); } void catch_SIGSEGV([[maybe_unused]] int e) { std::cerr << boost::stacktrace::stacktrace() << '\n'; throw SIGSEGV_exception(); } signed convertedmain(); signed main() { signal(SIGFPE, catch_SIGFPE); signal(SIGSEGV, catch_SIGSEGV); return convertedmain(); } #define main() convertedmain() #else #define erase_all_elements erase #endif #ifdef LOCAL_DEV template <typename T1, typename T2> std::ostream& operator<<(std::ostream& s, const std::pair<T1, T2>& p) { return s << "(" << p.first << ", " << p.second << ")"; } template <typename T, std::size_t N> std::ostream& operator<<(std::ostream& s, const std::array<T, N>& a) { s << "{ "; for (std::size_t i = 0; i < N; ++i){ s << a[i] << "\t"; } s << "}"; return s; } template <typename T, typename Compare> std::ostream& operator<<(std::ostream& s, const std::set<T, Compare>& se) { s << "{ "; for (auto itr = se.begin(); itr != se.end(); ++itr){ s << (*itr) << "\t"; } s << "}"; return s; } template <typename T, typename Compare> std::ostream& operator<<(std::ostream& s, const std::multiset<T, Compare>& se) { s << "{ "; for (auto itr = se.begin(); itr != se.end(); ++itr){ s << (*itr) << "\t"; } s << "}"; return s; } template <typename T1, typename T2, typename Compare> std::ostream& operator<<(std::ostream& s, const std::map<T1, T2, Compare>& m) { s << "{\n"; for (auto itr = m.begin(); itr != m.end(); ++itr){ s << "\t" << (*itr).first << " : " << (*itr).second << "\n"; } s << "}"; return s; } template <typename T> std::ostream& operator<<(std::ostream& s, const std::deque<T>& v) { for (std::size_t i = 0; i < v.size(); ++i){ s << v[i]; if (i < v.size() - 1) s << "\t"; } return s; } template <typename T> std::ostream& operator<<(std::ostream& s, const std::vector<T>& v) { for (std::size_t i = 0; i < v.size(); ++i){ s << v[i]; if (i < v.size() - 1) s << "\t"; } return s; } template <typename T> std::ostream& operator<<(std::ostream& s, const std::vector<std::vector<T>>& vv) { s << "\\\n"; for (std::size_t i = 0; i < vv.size(); ++i){ s << vv[i] << "\n"; } return s; } template <typename T, std::size_t N, typename std::enable_if_t<!std::is_same_v<T, char>, std::nullptr_t> = nullptr> std::ostream& operator<<(std::ostream& s, const T (&v)[N]) { for (std::size_t i = 0; i < N; ++i){ s << v[i]; if (i < N - 1) s << "\t"; } return s; } template <typename T, std::size_t N, std::size_t M, typename std::enable_if_t<!std::is_same_v<T, char>, std::nullptr_t> = nullptr> std::ostream& operator<<(std::ostream& s, const T (&vv)[N][M]) { s << "\\\n"; for (std::size_t i = 0; i < N; ++i){ s << vv[i] << "\n"; } return s; } #if __has_include(<ext/pb_ds/assoc_container.hpp>) template <typename Key, typename Compare> std::ostream& operator<<(std::ostream& s, const __gnu_pbds::tree<Key, __gnu_pbds::null_type, Compare, __gnu_pbds::rb_tree_tag, __gnu_pbds::tree_order_statistics_node_update>& se) { s << "{ "; for (auto itr = se.begin(); itr != se.end(); ++itr){ s << (*itr) << "\t"; } s << "}"; return s; } template <typename Key, typename T, typename Hash> std::ostream& operator<<(std::ostream& s, const __gnu_pbds::gp_hash_table<Key, T, Hash>& m) { s << "{\n"; for (auto itr = m.begin(); itr != m.end(); ++itr){ s << "\t" << (*itr).first << " : " << (*itr).second << "\n"; } s << "}"; return s; } #endif void debug_impl() { std::cerr << '\n'; } template <typename Head, typename... Tail> void debug_impl(Head& head, Tail&... tail) { std::cerr << " " << head << (sizeof...(tail) ? "," : ""); debug_impl(tail...); } template <typename Head, typename... Tail> void debug_impl(const Head& head, const Tail&... tail) { std::cerr << " " << head << (sizeof...(tail) ? "," : ""); debug_impl(tail...); } #define debug(...) do { std::cerr << ":" << __LINE__ << " (" << #__VA_ARGS__ << ") ="; debug_impl(__VA_ARGS__); } while (false) constexpr inline long long prodlocal([[maybe_unused]] long long prod, [[maybe_unused]] long long local) { return local; } #else #define debug(...) do {} while (false) constexpr inline long long prodlocal([[maybe_unused]] long long prod, [[maybe_unused]] long long local) { return prod; } #endif //#define int long long using ll = long long; //INT_MAX = (1<<31)-1 = 2147483647, INT64_MAX = (1LL<<63)-1 = 9223372036854775807 constexpr ll INF = std::numeric_limits<ll>::max() == INT_MAX ? (ll)1e9 + 7 : (ll)1e18; constexpr ll MOD = (ll)1e9 + 7; //primitive root = 5 //constexpr ll MOD = 998244353; //primitive root = 3 constexpr double EPS = 1e-9; constexpr ll dx[4] = {1, 0, -1, 0}; constexpr ll dy[4] = {0, 1, 0, -1}; constexpr ll dx8[8] = {1, 0, -1, 0, 1, 1, -1, -1}; constexpr ll dy8[8] = {0, 1, 0, -1, 1, -1, 1, -1}; #define repoverload3(_1, _2, _3, name, ...) name #define rep3(i, a, b) for(ll i=(a), i##_length=(b); i<i##_length; ++i) #define rep2(i, n) rep3(i, 0, n) #define rep1(n) rep3(i, 0, n) #define rep(...) repoverload3(__VA_ARGS__, rep3, rep2, rep1)(__VA_ARGS__) #define repeq3(i, a, b) rep3(i, (a)+1, (b)+1) #define repeq2(i, n) rep3(i, 1, (n)+1) #define repeq1(n) rep3(i, 1, (n)+1) #define repeq(...) repoverload3(__VA_ARGS__, repeq3, repeq2, repeq1)(__VA_ARGS__) #define rrep3(i, a, b) for(ll i=(b)-1; i>=(a); --i) #define rrep2(i, n) rrep3(i, 0, n) #define rrep1(n) rrep3(i, 0, n) #define rrep(...) repoverload3(__VA_ARGS__, rrep3, rrep2, rrep1)(__VA_ARGS__) #define rrepeq3(i, a, b) rrep3(i, (a)+1, (b)+1) #define rrepeq2(i, n) rrep3(i, 1, (n)+1) #define rrepeq1(n) rrep3(i, 1, (n)+1) #define rrepeq(...) repoverload3(__VA_ARGS__, rrepeq3, rrepeq2, rrepeq1)(__VA_ARGS__) #define all(v) std::begin(v), std::end(v) #define rall(v) std::rbegin(v), std::rend(v) void p() { std::cout << '\n'; } template <typename Head, typename... Tail> void p(Head& head, Tail&... tail) { std::cout << head << (sizeof...(tail) ? " " : ""); p(tail...); } template <typename Head, typename... Tail> void p(const Head& head, const Tail&... tail) { std::cout << head << (sizeof...(tail) ? " " : ""); p(tail...); } template <typename T> inline void pv(const T& v) { for(ll i=0, N=std::size(v); i<N; i++) std::cout << v[i] << " \n"[i==N-1]; } template <typename T> inline bool chmax(T& a, T b) { return a < b && (a = b, true); } template <typename T> inline bool chmin(T& a, T b) { return a > b && (a = b, true); } template <typename T> inline void uniq(T& v) { std::sort(v.begin(), v.end()); v.erase(std::unique(v.begin(), v.end()), v.end()); } template <typename T> inline ll sz(const T& v) { return std::size(v); } template <typename T, std::size_t N> std::vector<T> make_vector_impl(std::vector<ll>& sizes, typename std::enable_if<(N==1), const T&>::type x) { return std::vector<T>(sizes.front(),x); } template <typename T, std::size_t N> auto make_vector_impl(std::vector<ll>& sizes, typename std::enable_if<(N>1), const T&>::type x) { ll size=sizes.back(); sizes.pop_back(); return std::vector<decltype(make_vector_impl<T,N-1>(sizes,x))>(size,make_vector_impl<T,N-1>(sizes,x)); } template <typename T, std::size_t N> auto make_vector(const ll (&sizes)[N], const T& x=T()) { std::vector<ll> s(N); for(std::size_t i=0; i<N; ++i)s[i]=sizes[N-1-i]; return make_vector_impl<T,N>(s,x); } #if __has_include(<ext/pb_ds/assoc_container.hpp>) template <typename Key, typename Mapped, typename Hash = std::hash<Key>, typename std::enable_if_t<std::is_integral_v<Key>, std::nullptr_t> = nullptr> class fmap : public __gnu_pbds::gp_hash_table<Key, Mapped, Hash> { public: using __gnu_pbds::gp_hash_table<Key, Mapped, Hash>::gp_hash_table; template <typename T> fmap(std::initializer_list<std::initializer_list<T>> il) : __gnu_pbds::gp_hash_table<Key, Mapped, Hash>() { for (auto&& x : il) __gnu_pbds::gp_hash_table<Key, Mapped, Hash>::insert(std::pair<Key, Mapped>(*x.begin(), *(x.begin() + 1))); } template <typename T> ll count(const T& x) const { return __gnu_pbds::gp_hash_table<Key, Mapped, Hash>::find(x) != __gnu_pbds::gp_hash_table<Key, Mapped, Hash>::end(); } }; #else template <typename Key, typename Mapped> using fmap = std::map<Key, Mapped>; #endif template <typename T> class each_hepler { public: class iterator { public: ll _pos; typename T::iterator _it; iterator(typename T::iterator it): _pos(0), _it(it) {} std::pair<ll, typename std::iterator_traits<typename T::iterator>::reference> operator*() const { return {_pos, *_it}; } iterator& operator++() { ++_pos; ++_it; return *this; } iterator operator++(int) { iterator tmp(*this); ++*this; return tmp; } bool operator==(iterator const& it) const { return _it == it._it; } bool operator!=(iterator const& it) const { return !(*this == it); } }; T& _container; each_hepler(T& t): _container(t) {} iterator begin() const { return iterator(_container.begin()); } iterator end() const { return iterator(_container.end()); } }; template <typename T> each_hepler<T> each(T& t) { return each_hepler<T>(t); } // for (auto&& [i, val] : each(v)) template <typename... T> class zip_helper { public: class iterator : std::iterator<std::forward_iterator_tag, std::tuple<decltype(*std::declval<T>().begin())...>> { private: std::tuple<decltype(std::declval<T>().begin())...> iters_; template <std::size_t... I> auto deref(std::index_sequence<I...>) const { return typename iterator::value_type{*std::get<I>(iters_)...}; } template <std::size_t... I> void increment(std::index_sequence<I...>) { [[maybe_unused]] auto l = {(++std::get<I>(iters_), 0)...}; } public: explicit iterator(decltype(iters_) iters) : iters_{std::move(iters)} {} iterator& operator++() { increment(std::index_sequence_for<T...>{}); return *this; } iterator operator++(int) { auto saved{*this}; increment(std::index_sequence_for<T...>{}); return saved; } bool operator!=(const iterator& other) const { return iters_ != other.iters_; } auto operator*() const { return deref(std::index_sequence_for<T...>{}); } }; zip_helper(T&... seqs) : begin_{std::make_tuple(seqs.begin()...)}, end_{std::make_tuple(seqs.end()...)} {} iterator begin() const { return begin_; } iterator end() const { return end_; } private: iterator begin_, end_; }; template <typename... T> auto zip(T&&... seqs) { return zip_helper<T...>{seqs...}; } // for (auto&& [a, b, c] : zip(A, B, C)) /*-----8<-----template-----8<-----*/ /*-----8<-----library-----8<-----*/ void solve() { ll N, M, K; cin >> N >> M >> K; rational ans(0); { //最初にあたりを選ぶ rational a = rational(M) / N; rational b = rational(M - 1) / (N - K - 1); ans += a * b; } { //最初にはずれを選ぶ rational a = rational(N-M) / N; rational b = rational(M) / (N - K - 1); ans += a * b; } p(ans.numerator(), ans.denominator()); std::cout << std::flush; _Exit(0); } signed main() { #ifndef LOCAL_DEV std::cin.tie(nullptr); std::ios::sync_with_stdio(false); #endif //ll Q; cin >> Q; while(Q--)solve(); solve(); return 0; }