結果
問題 | No.2046 Ans Mod? Mod Ans! |
ユーザー | Pachicobue |
提出日時 | 2022-08-19 22:34:37 |
言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
結果 |
WA
|
実行時間 | - |
コード長 | 20,265 bytes |
コンパイル時間 | 2,423 ms |
コンパイル使用メモリ | 214,156 KB |
実行使用メモリ | 14,336 KB |
最終ジャッジ日時 | 2024-05-09 17:26:12 |
合計ジャッジ時間 | 4,289 ms |
ジャッジサーバーID (参考情報) |
judge3 / judge2 |
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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
5,248 KB |
testcase_01 | AC | 7 ms
5,376 KB |
testcase_02 | AC | 12 ms
5,376 KB |
testcase_03 | AC | 36 ms
5,376 KB |
testcase_04 | AC | 26 ms
5,376 KB |
testcase_05 | AC | 35 ms
5,376 KB |
testcase_06 | AC | 26 ms
5,376 KB |
testcase_07 | AC | 34 ms
5,376 KB |
testcase_08 | AC | 6 ms
5,376 KB |
testcase_09 | AC | 6 ms
5,376 KB |
testcase_10 | AC | 7 ms
5,376 KB |
testcase_11 | AC | 8 ms
5,376 KB |
testcase_12 | AC | 8 ms
5,504 KB |
testcase_13 | WA | - |
testcase_14 | WA | - |
testcase_15 | WA | - |
testcase_16 | WA | - |
testcase_17 | WA | - |
testcase_18 | WA | - |
testcase_19 | WA | - |
testcase_20 | WA | - |
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 u32 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; constexpr bool LOCAL = false; constexpr bool OJ = not LOCAL; template<typename T> static constexpr T OjLocal(T oj, T local) { return LOCAL ? local : oj; } 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(int n) { return n == 0 ? T{1} : TEN<T>(n - 1) * T{10}; } template<typename T> constexpr Vec<T>& operator+=(Vec<T>& vs1, const Vec<T>& vs2) { return vs1.insert(vs1.end(), vs2.begin(), vs2.end()), vs1; } template<typename T> constexpr Vec<T> operator+(const Vec<T>& vs1, const Vec<T>& vs2) { auto vs = vs1; vs += vs2; return vs; } template<typename T> constexpr bool chmin(T& a, const T& b) { return (a > b ? (a = b, true) : false); } template<typename T> constexpr bool chmax(T& a, const T& b) { return (a < b ? (a = b, true) : false); } template<typename T> constexpr T floorDiv(T x, T y) { assert(y != 0); 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) { assert(y != 0); if (y < T{}) { x = -x, y = -y; } return x >= T{} ? (x + y - 1) / y : x / y; } template<typename T, typename I> constexpr T powerMonoid(T v, I n, const T& e) { assert(n >= 0); T ans = e; for (; n > 0; n >>= 1, v *= v) { if (n % 2 == 1) { ans *= v; } } return ans; } template<typename T, typename I> constexpr T powerInt(T v, I n) { return powerMonoid(v, n, T{1}); } template<typename Vs, typename V> constexpr 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> constexpr void sortAll(Vs& vs) { std::sort(std::begin(vs), std::end(vs)); } template<typename Vs, typename C> constexpr void sortAll(Vs& vs, C comp) { std::sort(std::begin(vs), std::end(vs), comp); } template<typename Vs> constexpr void reverseAll(Vs& vs) { std::reverse(std::begin(vs), std::end(vs)); } template<typename V, typename Vs> constexpr 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> constexpr int minInd(const Vs& vs) { return std::min_element(std::begin(vs), std::end(vs)) - std::begin(vs); } template<typename Vs> constexpr int maxInd(const Vs& vs) { return std::max_element(std::begin(vs), std::end(vs)) - std::begin(vs); } template<typename Vs, typename V> constexpr 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> constexpr 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> constexpr void plusAll(Vs& vs, const V& v) { for (auto& v_ : vs) { v_ += v; } } template<typename T, typename F> constexpr 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> constexpr Vec<T> iotaVec(int n, T offset = 0) { Vec<T> ans(n); std::iota(ans.begin(), ans.end(), offset); return ans; } 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; } constexpr int popcount(u64 v) { return v ? __builtin_popcountll(v) : 0; } constexpr int log2p1(u64 v) { return v ? 64 - __builtin_clzll(v) : 0; } constexpr int lsbp1(u64 v) { return __builtin_ffsll(v); } constexpr int ceillog(u64 v) { return v ? log2p1(v - 1) : 0; } constexpr u64 ceil2(u64 v) { assert(v <= (1_u64 << 63)); return 1_u64 << ceillog(v); } constexpr u64 floor2(u64 v) { return v ? (1_u64 << (log2p1(v) - 1)) : 0_u64; } constexpr bool ispow2(u64 v) { return (v > 0) and ((v & (v - 1)) == 0); } constexpr bool btest(u64 mask, int ind) { return (mask >> ind) & 1_u64; } template<typename F> struct Fix : F { constexpr Fix(F&& f) : F{std::forward<F>(f)} {} template<typename... Args> constexpr auto operator()(Args&&... args) const { return F::operator()(*this, std::forward<Args>(args)...); } }; class irange { private: struct itr { constexpr itr(i64 start = 0, i64 step = 1) : m_cnt{start}, m_step{step} {} constexpr bool operator!=(const itr& it) const { return m_cnt != it.m_cnt; } constexpr i64 operator*() { return m_cnt; } constexpr itr& operator++() { return m_cnt += m_step, *this; } i64 m_cnt, m_step; }; i64 m_start, m_end, m_step; public: static constexpr i64 cnt(i64 start, i64 end, i64 step) { if (step == 0) { return -1; } const i64 d = (step > 0 ? step : -step); const i64 l = (step > 0 ? start : end); const i64 r = (step > 0 ? end : start); i64 n = (r - l) / d + ((r - l) % d ? 1 : 0); if (l >= r) { n = 0; } return n; } constexpr irange(i64 start, i64 end, i64 step = 1) : m_start{start}, m_end{m_start + step * cnt(start, end, step)}, m_step{step} { assert(step != 0); } constexpr itr begin() const { return itr{m_start, m_step}; } constexpr itr end() const { return itr{m_end, m_step}; } }; constexpr irange rep(i64 end) { return irange(0, end, 1); } constexpr irange per(i64 rend) { return irange(rend - 1, -1, -1); } 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) { return dump(args...), 0; } template<typename... Args> int ln(const Args&... args) { return dump(args...), m_os << '\n', 0; } template<typename... Args> int el(const Args&... args) { return dump(args...), m_os << std::endl, 0; } int YES(bool b = true) { return ln(b ? "YES" : "NO"); } int NO(bool b = true) { return YES(not b); } int Yes(bool b = true) { return ln(b ? "Yes" : "No"); } int No(bool b = true) { return Yes(not b); } private: template<typename T> void dump(const T& v) { m_os << v; } template<typename T> void dump(const Vec<T>& vs) { for (int i : rep(vs.size())) { m_os << (i ? " " : ""), dump(vs[i]); } } template<typename T> void dump(const Vec<Vec<T>>& vss) { for (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) { return dump(v), m_os << ' ', dump(args...), 0; } Ostream& m_os; }; Printer out; template<typename T, int n, int i = 0> auto ndVec(int const (&szs)[n], const T x = T{}) { if constexpr (i == n) { return x; } else { return std::vector(szs[i], ndVec<T, n, i + 1>(szs, x)); } } template<typename T, typename F> T binSearch(T ng, T ok, F check) { while (std::abs(ok - ng) > 1) { const T mid = (ok + ng) / 2; (check(mid) ? ok : ng) = mid; } return ok; } 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 powerInt(*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>; template<typename T = int> class Graph { struct Edge { Edge() = default; Edge(int i, int t, T c) : id{i}, to{t}, cost{c} {} int id; int to; T cost; operator int() const { return to; } }; public: Graph(int n) : m_v{n}, m_edges(n) {} void addEdge(int u, int v, bool bi = false) { assert(0 <= u and u < m_v); assert(0 <= v and v < m_v); m_edges[u].emplace_back(m_e, v, 1); if (bi) { m_edges[v].emplace_back(m_e, u, 1); } m_e++; } void addEdge(int u, int v, const T& c, bool bi = false) { assert(0 <= u and u < m_v); assert(0 <= v and v < m_v); m_edges[u].emplace_back(m_e, v, c); if (bi) { m_edges[v].emplace_back(m_e, u, c); } m_e++; } const Vec<Edge>& operator[](const int u) const { assert(0 <= u and u < m_v); return m_edges[u]; } Vec<Edge>& operator[](const int u) { assert(0 <= u and u < m_v); return m_edges[u]; } int v() const { return m_v; } int e() const { return m_e; } friend Ostream& operator<<(Ostream& os, const Graph& g) { for (int u : rep(g.v())) { for (const auto& [id, v, c] : g[u]) { os << "[" << id << "]: "; os << u << "->" << v << "(" << c << ")\n"; } } return os; } Vec<T> sizes(int root = 0) const { const int N = v(); assert(0 <= root and root < N); Vec<T> ss(N, 1); Fix([&](auto dfs, int u, int p) -> void { for ([[maybe_unused]] const auto& [_temp_name_0, v, c] : m_edges[u]) { if (v == p) { continue; } dfs(v, u); ss[u] += ss[v]; } })(root, -1); return ss; } Vec<T> depths(int root = 0) const { const int N = v(); assert(0 <= root and root < N); Vec<T> ds(N, 0); Fix([&](auto dfs, int u, int p) -> void { for ([[maybe_unused]] const auto& [_temp_name_1, v, c] : m_edges[u]) { if (v == p) { continue; } ds[v] = ds[u] + c; dfs(v, u); } })(root, -1); return ds; } Vec<int> parents(int root = 0) const { const int N = v(); assert(0 <= root and root < N); Vec<int> ps(N, -1); Fix([&](auto dfs, int u, int p) -> void { for ([[maybe_unused]] const auto& [_temp_name_2, v, c] : m_edges[u]) { if (v == p) { continue; } ps[v] = u; dfs(v, u); } })(root, -1); return ps; } private: int m_v; int m_e = 0; Vec<Vec<Edge>> m_edges; }; template<typename T> class FenwickTree { public: FenwickTree(const Vec<T>& vs) : m_size(vs.size()), m_cap(ceil2(m_size)), m_vs(m_cap + 1, T{}) { std::copy(vs.begin(), vs.end(), m_vs.begin() + 1); for (int x : irange(1, m_cap)) { m_vs[x + (x & -x)] += m_vs[x]; } } FenwickTree(int N, const T& v = T{}) : FenwickTree{Vec<T>(N, v)} {} void add(int i, const T& v) { assert(0 <= i and i < m_size); for (int ind = i + 1; ind <= m_cap; ind += ind & (-ind)) { m_vs[ind] += v; } } T sum(int i) const { assert(0 <= i and i <= m_size); T sum{}; for (int ind = i; ind != 0; ind &= ind - 1) { sum += m_vs[ind]; } return sum; } T sum(int l, int r) const { assert(0 <= l and l <= r and r <= m_size); return sum(r) - sum(l); } template<typename F> int maxRight(F f) { assert(f(T{})); T sum = T{}; int x = 0; for (int k = (m_cap >> 1); k >= 1; k >>= 1) { if (x + k <= m_size and f(sum + m_vs[x + k])) { sum += m_vs[x + k], x += k; } } return x; } friend Ostream& operator<<(Ostream& os, const FenwickTree& fw) { os << "["; for (int i : rep(fw.m_size)) { os << (i == 0 ? "" : ",") << fw.sum(i, i + 1); } return (os << "]\n"); } private: int m_size, m_cap; Vec<T> m_vs; }; int main() { const auto N = in.val<int>(); Map<int, int, Gt<int>> mp; for (auto _temp_name_3 [[maybe_unused]] : rep(N)) { mp[in.val<int>()]++; } FenwickTree<int> bit(200001); i64 S = 0; i64 AS = 0; i64 ans = 0; for (const auto& [a, s] : mp) { i64 plus = 0; plus += (S * a - AS); for (int i : rep(200000 / a + 1)) { const int l = a * i; const int r = std::min(a * (i + 1), 200001); const int S = bit.sum(l, r); plus += S * i * a; } bit.add(a, s); AS += a * s; S += s; ans += plus * s; } out.ln(ans); return 0; }