結果
問題 | No.1956 猫の額 |
ユーザー | Pachicobue |
提出日時 | 2022-05-24 02:28:56 |
言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
結果 |
WA
|
実行時間 | - |
コード長 | 23,600 bytes |
コンパイル時間 | 2,593 ms |
コンパイル使用メモリ | 229,832 KB |
実行使用メモリ | 5,376 KB |
最終ジャッジ日時 | 2024-09-20 14:18:01 |
合計ジャッジ時間 | 3,649 ms |
ジャッジサーバーID (参考情報) |
judge3 / judge4 |
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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 | WA | - |
testcase_01 | AC | 8 ms
5,376 KB |
testcase_02 | AC | 26 ms
5,376 KB |
testcase_03 | AC | 8 ms
5,376 KB |
testcase_04 | AC | 15 ms
5,376 KB |
testcase_05 | WA | - |
testcase_06 | AC | 12 ms
5,376 KB |
testcase_07 | AC | 8 ms
5,376 KB |
testcase_08 | AC | 7 ms
5,376 KB |
testcase_09 | AC | 7 ms
5,376 KB |
testcase_10 | AC | 5 ms
5,376 KB |
testcase_11 | AC | 5 ms
5,376 KB |
testcase_12 | AC | 6 ms
5,376 KB |
testcase_13 | AC | 3 ms
5,376 KB |
testcase_14 | AC | 2 ms
5,376 KB |
testcase_15 | AC | 8 ms
5,376 KB |
testcase_16 | AC | 8 ms
5,376 KB |
testcase_17 | AC | 7 ms
5,376 KB |
testcase_18 | AC | 8 ms
5,376 KB |
testcase_19 | AC | 14 ms
5,376 KB |
testcase_20 | AC | 13 ms
5,376 KB |
ソースコード
#include <bits/stdc++.h> using i32 = int; using u32 = unsigned int; using i64 = long long; using u64 = unsigned long long; using i128 = __int128_t; using u128 = __uint128_t; using f64 = double; using f80 = long double; using f128 = __float128; constexpr i32 operator"" _i32(u64 v) { return v; } constexpr i32 operator"" _u32(u64 v) { return v; } constexpr i64 operator"" _i64(u64 v) { return v; } constexpr u64 operator"" _u64(u64 v) { return v; } constexpr f64 operator"" _f64(f80 v) { return v; } constexpr f80 operator"" _f80(f80 v) { return v; } using Istream = std::istream; using Ostream = std::ostream; using Str = std::string; template<typename T> using Lt = std::less<T>; template<typename T> using Gt = std::greater<T>; template<typename T> using IList = std::initializer_list<T>; template<int n> using BSet = std::bitset<n>; template<typename T1, typename T2> using Pair = std::pair<T1, T2>; template<typename... Ts> using Tup = std::tuple<Ts...>; template<typename T, int N> using Arr = std::array<T, N>; template<typename... Ts> using Deq = std::deque<Ts...>; template<typename... Ts> using Set = std::set<Ts...>; template<typename... Ts> using MSet = std::multiset<Ts...>; template<typename... Ts> using USet = std::unordered_set<Ts...>; template<typename... Ts> using UMSet = std::unordered_multiset<Ts...>; template<typename... Ts> using Map = std::map<Ts...>; template<typename... Ts> using MMap = std::multimap<Ts...>; template<typename... Ts> using UMap = std::unordered_map<Ts...>; template<typename... Ts> using UMMap = std::unordered_multimap<Ts...>; template<typename... Ts> using Vec = std::vector<Ts...>; template<typename... Ts> using Stack = std::stack<Ts...>; template<typename... Ts> using Queue = std::queue<Ts...>; template<typename T> using MaxHeap = std::priority_queue<T>; template<typename T> using MinHeap = std::priority_queue<T, Vec<T>, Gt<T>>; using NSec = std::chrono::nanoseconds; using USec = std::chrono::microseconds; using MSec = std::chrono::milliseconds; using Sec = std::chrono::seconds; template<typename T> constexpr T LIMMIN = std::numeric_limits<T>::min(); template<typename T> constexpr T LIMMAX = std::numeric_limits<T>::max(); template<typename T> constexpr T INF = (LIMMAX<T> - 1) / 2; template<typename T> constexpr T PI = T{3.141592653589793238462643383279502884}; template<typename T = u64> constexpr T TEN(const int n) { return n == 0 ? T{1} : TEN<T>(n - 1) * T{10}; } Ostream& operator<<(Ostream& os, i128 v) { bool minus = false; if (v < 0) { minus = true, v = -v; } Str ans; if (v == 0) { ans = "0"; } while (v) { ans.push_back('0' + v % 10), v /= 10; } std::reverse(ans.begin(), ans.end()); return os << (minus ? "-" : "") << ans; } Ostream& operator<<(Ostream& os, u128 v) { Str ans; if (v == 0) { ans = "0"; } while (v) { ans.push_back('0' + v % 10), v /= 10; } std::reverse(ans.begin(), ans.end()); return os << ans; } template<typename T> bool chmin(T& a, const T& b) { if (a > b) { a = b; return true; } else { return false; } } template<typename T> bool chmax(T& a, const T& b) { if (a < b) { a = b; return true; } else { return false; } } template<typename T> constexpr T floorDiv(T x, T y) { if (y < T{}) { x = -x, y = -y; } return x >= T{} ? x / y : (x - y + 1) / y; } template<typename T> constexpr T ceilDiv(T x, T y) { if (y < T{}) { x = -x, y = -y; } return x >= T{} ? (x + y - 1) / y : x / y; } template<typename T, typename I> constexpr T modPower(T v, I n, T mod) { T ans = 1 % mod; for (; n > 0; n >>= 1, (v *= v) %= mod) { if (n % 2 == 1) { (ans *= v) %= mod; } } return ans; } template<typename T, typename I> constexpr T power(T v, I n) { T ans = 1; for (; n > 0; n >>= 1, v *= v) { if (n % 2 == 1) { ans *= v; } } return ans; } template<typename T, typename I> constexpr T power(T v, I n, const T& e) { T ans = e; for (; n > 0; n >>= 1, v *= v) { if (n % 2 == 1) { ans *= v; } } return ans; } template<typename T> Vec<T>& operator+=(Vec<T>& vs1, const Vec<T>& vs2) { vs1.insert(vs1.end(), vs2.begin(), vs2.end()); return vs1; } template<typename T> Vec<T> operator+(const Vec<T>& vs1, const Vec<T>& vs2) { auto vs = vs1; vs += vs2; return vs; } template<typename Vs, typename V> void fillAll(Vs& arr, const V& v) { if constexpr (std::is_convertible<V, Vs>::value) { arr = v; } else { for (auto& subarr : arr) { fillAll(subarr, v); } } } template<typename Vs> void sortAll(Vs& vs) { std::sort(std::begin(vs), std::end(vs)); } template<typename Vs, typename C> void sortAll(Vs& vs, C comp) { std::sort(std::begin(vs), std::end(vs), comp); } template<typename Vs> void reverseAll(Vs& vs) { std::reverse(std::begin(vs), std::end(vs)); } template<typename V, typename Vs> V sumAll(const Vs& vs) { if constexpr (std::is_convertible<Vs, V>::value) { return static_cast<V>(vs); } else { V ans = 0; for (const auto& v : vs) { ans += sumAll<V>(v); } return ans; } } template<typename Vs> int minInd(const Vs& vs) { return std::min_element(std::begin(vs), std::end(vs)) - std::begin(vs); } template<typename Vs> int maxInd(const Vs& vs) { return std::max_element(std::begin(vs), std::end(vs)) - std::begin(vs); } template<typename Vs, typename V> int lbInd(const Vs& vs, const V& v) { return std::lower_bound(std::begin(vs), std::end(vs), v) - std::begin(vs); } template<typename Vs, typename V> int ubInd(const Vs& vs, const V& v) { return std::upper_bound(std::begin(vs), std::end(vs), v) - std::begin(vs); } template<typename Vs, typename V> bool contains(const Vs& vs, const V& v) { const int li = lbInd(vs, v); return (li < std::size(vs) and vs[li] == v); } template<typename Vs, typename V> void plusAll(Vs& vs, const V& v) { for (auto& v_ : vs) { v_ += v; } } template<typename T, typename F> Vec<T> genVec(int n, F gen) { Vec<T> ans; std::generate_n(std::back_insert_iterator(ans), n, gen); return ans; } template<typename T = int> Vec<T> iotaVec(int n, T offset = 0) { Vec<T> ans(n); std::iota(ans.begin(), ans.end(), offset); return ans; } constexpr int popcount(const u64 v) { return v ? __builtin_popcountll(v) : 0; } constexpr int log2p1(const u64 v) { return v ? 64 - __builtin_clzll(v) : 0; } constexpr int lsbp1(const u64 v) { return __builtin_ffsll(v); } constexpr int clog(const u64 v) { return v ? log2p1(v - 1) : 0; } constexpr u64 ceil2(const u64 v) { const int l = clog(v); return (l == 64) ? 0_u64 : (1_u64 << l); } constexpr u64 floor2(const u64 v) { return v ? (1_u64 << (log2p1(v) - 1)) : 0_u64; } constexpr bool ispow2(const u64 v) { return (v > 0) and ((v & (v - 1)) == 0); } constexpr bool btest(const u64 mask, const int ind) { return (mask >> ind) & 1_u64; } template<typename F> struct Fix : F { Fix(F&& f) : F{std::forward<F>(f)} {} template<typename... Args> auto operator()(Args&&... args) const { return F::operator()(*this, std::forward<Args>(args)...); } }; class irange { private: struct itr { itr(i64 start = 0, i64 step = 1) : m_cnt{start}, m_step{step} {} bool operator!=(const itr& it) const { return m_cnt != it.m_cnt; } int operator*() { return m_cnt; } itr& operator++() { m_cnt += m_step; return *this; } i64 m_cnt, m_step; }; i64 m_start, m_end, m_step; public: irange(i64 start, i64 end, i64 step = 1) { assert(step != 0); const i64 d = std::abs(step); const i64 l = (step > 0 ? start : end); const i64 r = (step > 0 ? end : start); int n = (r - l) / d + ((r - l) % d ? 1 : 0); if (l >= r) { n = 0; } m_start = start; m_end = start + step * n; m_step = step; } itr begin() const { return itr{m_start, m_step}; } itr end() const { return itr{m_end, m_step}; } }; irange rep(i64 end) { return irange(0, end, 1); } irange per(i64 rend) { return irange(rend - 1, -1, -1); } /** * @ref https://prng.di.unimi.it */ namespace xoshiro_impl { u64 x; u64 next() { uint64_t z = (x += 0x9e3779b97f4a7c15); z = (z ^ (z >> 30)) * 0xbf58476d1ce4e5b9; z = (z ^ (z >> 27)) * 0x94d049bb133111eb; return z ^ (z >> 31); } } // namespace xoshiro_impl class Xoshiro32 { public: using result_type = u32; using T = result_type; Xoshiro32(T seed = 0) { xoshiro_impl::x = seed; s[0] = xoshiro_impl::next(); s[1] = xoshiro_impl::next(); s[2] = xoshiro_impl::next(); s[3] = xoshiro_impl::next(); } static constexpr T min() { return LIMMIN<T>; } static constexpr T max() { return LIMMAX<T>; } T operator()() { return next(); } private: static constexpr T rotl(const T x, int k) { return (x << k) | (x >> (32 - k)); } T next() { const T ans = rotl(s[1] * 5, 7) * 9; const T t = s[1] << 9; s[2] ^= s[0]; s[3] ^= s[1]; s[1] ^= s[2]; s[0] ^= s[3]; s[2] ^= t; s[3] = rotl(s[3], 11); return ans; } T s[4]; }; class Xoshiro64 { public: using result_type = u64; using T = result_type; Xoshiro64(T seed = 0) { xoshiro_impl::x = seed; s[0] = xoshiro_impl::next(); s[1] = xoshiro_impl::next(); s[2] = xoshiro_impl::next(); s[3] = xoshiro_impl::next(); } static constexpr T min() { return LIMMIN<T>; } static constexpr T max() { return LIMMAX<T>; } T operator()() { return next(); } private: static constexpr T rotl(const T x, int k) { return (x << k) | (x >> (64 - k)); } T next() { const T ans = rotl(s[1] * 5, 7) * 9; const T t = s[1] << 17; s[2] ^= s[0]; s[3] ^= s[1]; s[1] ^= s[2]; s[0] ^= s[3]; s[2] ^= t; s[3] = rotl(s[3], 45); return ans; } T s[4]; }; template<typename Rng> class RNG { public: using result_type = typename Rng::result_type; using T = result_type; static constexpr T min() { return Rng::min(); } static constexpr T max() { return Rng::max(); } RNG() : RNG(std::random_device{}()) {} RNG(T seed) : m_rng(seed) {} T operator()() { return m_rng(); } template<typename T> T val(T min, T max) { return std::uniform_int_distribution<T>(min, max)(m_rng); } template<typename T> Pair<T, T> pair(T min, T max) { return std::minmax({val<T>(min, max), val<T>(min, max)}); } template<typename T> Vec<T> vec(int n, T min, T max) { return genVec<T>(n, [&]() { return val<T>(min, max); }); } template<typename T> Vec<Vec<T>> vvec(int n, int m, T min, T max) { return genVec<Vec<T>>(n, [&]() { return vec(m, min, max); }); } private: Rng m_rng; }; RNG<std::mt19937> rng; RNG<std::mt19937_64> rng64; RNG<Xoshiro32> rng_xo; RNG<Xoshiro64> rng_xo64; class Scanner { public: Scanner(Istream& is = std::cin) : m_is{is} { m_is.tie(nullptr)->sync_with_stdio(false); } template<typename T> T val() { T v; return m_is >> v, v; } template<typename T> T val(T offset) { return val<T>() - offset; } template<typename T> Vec<T> vec(int n) { return genVec<T>(n, [&]() { return val<T>(); }); } template<typename T> Vec<T> vec(int n, T offset) { return genVec<T>(n, [&]() { return val<T>(offset); }); } template<typename T> Vec<Vec<T>> vvec(int n, int m) { return genVec<Vec<T>>(n, [&]() { return vec<T>(m); }); } template<typename T> Vec<Vec<T>> vvec(int n, int m, const T offset) { return genVec<Vec<T>>(n, [&]() { return vec<T>(m, offset); }); } template<typename... Args> auto tup() { return Tup<Args...>{val<Args>()...}; } template<typename... Args> auto tup(const Args&... offsets) { return Tup<Args...>{val<Args>(offsets)...}; } private: Istream& m_is; }; Scanner in; class Printer { public: Printer(Ostream& os = std::cout) : m_os{os} { m_os << std::fixed << std::setprecision(15); } template<typename... Args> int operator()(const Args&... args) { dump(args...); return 0; } template<typename... Args> int ln(const Args&... args) { dump(args...), m_os << '\n'; return 0; } template<typename... Args> int el(const Args&... args) { dump(args...), m_os << std::endl; return 0; } private: template<typename T> void dump(const T& v) { m_os << v; } template<typename T> void dump(const Vec<T>& vs) { for (const int i : rep(vs.size())) { m_os << (i ? " " : ""), dump(vs[i]); } } template<typename T> void dump(const Vec<Vec<T>>& vss) { for (const int i : rep(vss.size())) { m_os << (i ? "\n" : ""), dump(vss[i]); } } template<typename T, typename... Ts> int dump(const T& v, const Ts&... args) { dump(v), m_os << ' ', dump(args...); return 0; } Ostream& m_os; }; Printer out; template<u32 mod_, u32 root_, u32 max2p_> class modint { template<typename U = u32&> static U modRef() { static u32 s_mod = 0; return s_mod; } template<typename U = u32&> static U rootRef() { static u32 s_root = 0; return s_root; } template<typename U = u32&> static U max2pRef() { static u32 s_max2p = 0; return s_max2p; } public: static constexpr bool isDynamic() { return (mod_ == 0); } template<typename U = const u32> static constexpr std::enable_if_t<mod_ != 0, U> mod() { return mod_; } template<typename U = const u32> static std::enable_if_t<mod_ == 0, U> mod() { return modRef(); } template<typename U = const u32> static constexpr std::enable_if_t<mod_ != 0, U> root() { return root_; } template<typename U = const u32> static std::enable_if_t<mod_ == 0, U> root() { return rootRef(); } template<typename U = const u32> static constexpr std::enable_if_t<mod_ != 0, U> max2p() { return max2p_; } template<typename U = const u32> static std::enable_if_t<mod_ == 0, U> max2p() { return max2pRef(); } template<typename U = u32> static void setMod(std::enable_if_t<mod_ == 0, U> m) { modRef() = m; } template<typename U = u32> static void setRoot(std::enable_if_t<mod_ == 0, U> r) { rootRef() = r; } template<typename U = u32> static void setMax2p(std::enable_if_t<mod_ == 0, U> m) { max2pRef() = m; } constexpr modint() : m_val{0} {} constexpr modint(i64 v) : m_val{normll(v)} {} constexpr void setRaw(u32 v) { m_val = v; } constexpr modint operator-() const { return modint{0} - (*this); } constexpr modint& operator+=(const modint& m) { m_val = norm(m_val + m.val()); return *this; } constexpr modint& operator-=(const modint& m) { m_val = norm(m_val + mod() - m.val()); return *this; } constexpr modint& operator*=(const modint& m) { m_val = normll((i64)m_val * (i64)m.val() % (i64)mod()); return *this; } constexpr modint& operator/=(const modint& m) { return *this *= m.inv(); } constexpr modint operator+(const modint& m) const { auto v = *this; return v += m; } constexpr modint operator-(const modint& m) const { auto v = *this; return v -= m; } constexpr modint operator*(const modint& m) const { auto v = *this; return v *= m; } constexpr modint operator/(const modint& m) const { auto v = *this; return v /= m; } constexpr bool operator==(const modint& m) const { return m_val == m.val(); } constexpr bool operator!=(const modint& m) const { return not(*this == m); } friend Istream& operator>>(Istream& is, modint& m) { i64 v; return is >> v, m = v, is; } friend Ostream& operator<<(Ostream& os, const modint& m) { return os << m.val(); } constexpr u32 val() const { return m_val; } template<typename I> constexpr modint pow(I n) const { return power(*this, n); } constexpr modint inv() const { return pow(mod() - 2); } static modint sinv(u32 n) { static Vec<modint> is{1, 1}; for (u32 i = (u32)is.size(); i <= n; i++) { is.push_back(-is[mod() % i] * (mod() / i)); } return is[n]; } static modint fact(u32 n) { static Vec<modint> fs{1, 1}; for (u32 i = (u32)fs.size(); i <= n; i++) { fs.push_back(fs.back() * i); } return fs[n]; } static modint ifact(u32 n) { static Vec<modint> ifs{1, 1}; for (u32 i = (u32)ifs.size(); i <= n; i++) { ifs.push_back(ifs.back() * sinv(i)); } return ifs[n]; } static modint comb(int n, int k) { return k > n or k < 0 ? modint{0} : fact(n) * ifact(n - k) * ifact(k); } private: static constexpr u32 norm(u32 x) { return x < mod() ? x : x - mod(); } static constexpr u32 normll(i64 x) { return norm(u32(x % (i64)mod() + (i64)mod())); } u32 m_val; }; using modint_1000000007 = modint<1000000007, 5, 1>; using modint_998244353 = modint<998244353, 3, 23>; template<int id> using modint_dynamic = modint<0, 0, id>; int main() { using mint = modint_dynamic<0>; auto convolute = Fix( [&](auto dfs, const Vec<mint>& as, const Vec<mint>& bs) -> Vec<mint> { if (as.size() > bs.size()) { return dfs(bs, as); } const int A = as.size(); const int B = bs.size(); if (A < 10) { Vec<mint> cs(A + B - 1, 0); cs.shrink_to_fit(); for (int a : rep(A)) { for (int b : rep(B)) { cs[a + b] += as[a] * bs[b]; } } return cs; } else { const int X = (B + 1) / 2; Vec<mint> dbs{bs.begin(), bs.begin() + X}; dbs.shrink_to_fit(); Vec<mint> ubs{bs.begin() + X, bs.end()}; ubs.shrink_to_fit(); if (A <= X) { auto dcs = dfs(as, dbs); dcs.shrink_to_fit(); auto ucs = dfs(as, ubs); ucs.shrink_to_fit(); Vec<mint> cs(A + B - 1, 0); cs.shrink_to_fit(); for (int i : rep(dcs.size())) { cs[i] = dcs[i]; } for (int i : rep(ucs.size())) { cs[i + X] = ucs[i]; } return cs; } else { Vec<mint> das{as.begin(), as.begin() + X}; das.shrink_to_fit(); Vec<mint> uas{as.begin() + X, as.end()}; uas.shrink_to_fit(); auto dcs = dfs(das, dbs); dcs.shrink_to_fit(); auto ucs = dfs(uas, ubs); ucs.shrink_to_fit(); for (int i : rep(X)) { das[i] += uas[i]; dbs[i] += ubs[i]; } auto mcs = dfs(das, dbs); mcs.shrink_to_fit(); Vec<mint> cs(A + B - 1, 0); cs.shrink_to_fit(); for (int i : rep(dcs.size())) { cs[i] += dcs[i]; cs[i + X] -= dcs[i]; } for (int i : rep(ucs.size())) { cs[i + X + X] = ucs[i]; cs[i + X] -= ucs[i]; } for (int i : rep(mcs.size())) { cs[i + X] += mcs[i]; } return cs; } } }); auto [N, M, C] = in.tup<int, u32, int>(); mint::setMod(M); bool complement = false; if (N - C < C) { C = N - C; complement = true; } auto As = in.vec<int>(N); As.shrink_to_fit(); const int A = sumAll<int>(As); sortAll(As, Gt<int>{}); i64 MAX = 0; int L = 0; for (int i : rep(N)) { if (chmax(MAX, (i64)As[i] * (i + 1))) { L = i + 1; } } const int R = N - L; void(0); Vec<int> Bs, Cs; for (int i : rep(N)) { if (i < L) { Bs.push_back(As[i]); } else { Cs.push_back(As[i]); } } Bs.shrink_to_fit(); Cs.shrink_to_fit(); const int OFFSET = Bs.back(); void(0); const int BN = std::min(C, L); Vec<Vec<mint>> bdps(BN + 1); bdps.shrink_to_fit(); bdps[0] = {1}; bdps[0].shrink_to_fit(); for (int i : rep(L)) { for (int c : per(std::min(i + 1, BN))) { for (int j : per(bdps[c].size())) { const int nj = j + Bs[i] - OFFSET; if (bdps[c + 1].size() < nj + 1) { bdps[c + 1].resize(nj + 1); bdps[c + 1].shrink_to_fit(); } bdps[c + 1][nj] += bdps[c][j]; } } } // SHOW(bdps); const int CN = std::min(C, R); Vec<Vec<mint>> cdps(CN + 1); cdps.shrink_to_fit(); cdps[0] = {1}; cdps[0].shrink_to_fit(); for (int i : rep(R)) { for (int c : per(std::min(i + 1, CN))) { for (int j : per(cdps[c].size())) { const int nj = j + Cs[i]; if (cdps[c + 1].size() < nj + 1) { cdps[c + 1].resize(nj + 1); cdps[c + 1].shrink_to_fit(); } cdps[c + 1][nj] += cdps[c][j]; } } } // SHOW(cdps); Vec<mint> ans(A); for (int c : rep(BN + 1)) { const int d = C - c; if (d < 0) { break; } if (d > CN) { continue; } auto dp = convolute(bdps[c], cdps[d]); dp.shrink_to_fit(); for (int i : rep(dp.size())) { const int a_ = i + OFFSET * c; const int a = (complement ? A - a_ : a_); if (a > 0) { ans[a - 1] += dp[i]; } } } out.ln(ans); int Mem = 0; for (int i : rep(BN + 1)) { Mem += bdps[i].capacity(); } for (int i : rep(CN + 1)) { Mem += cdps[i].capacity(); } void(0); return 0; }