結果
問題 | No.1002 Twotone |
ユーザー | Pachicobue |
提出日時 | 2021-12-25 15:59:30 |
言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
結果 |
AC
|
実行時間 | 1,604 ms / 5,000 ms |
コード長 | 20,782 bytes |
コンパイル時間 | 3,117 ms |
コンパイル使用メモリ | 240,868 KB |
実行使用メモリ | 68,900 KB |
最終ジャッジ日時 | 2024-09-21 18:31:54 |
合計ジャッジ時間 | 20,300 ms |
ジャッジサーバーID (参考情報) |
judge1 / 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 | AC | 2 ms
6,816 KB |
testcase_01 | AC | 2 ms
6,940 KB |
testcase_02 | AC | 2 ms
6,940 KB |
testcase_03 | AC | 365 ms
26,484 KB |
testcase_04 | AC | 489 ms
33,408 KB |
testcase_05 | AC | 502 ms
33,416 KB |
testcase_06 | AC | 2 ms
6,944 KB |
testcase_07 | AC | 244 ms
21,624 KB |
testcase_08 | AC | 434 ms
33,380 KB |
testcase_09 | AC | 434 ms
33,408 KB |
testcase_10 | AC | 2 ms
6,944 KB |
testcase_11 | AC | 508 ms
26,504 KB |
testcase_12 | AC | 718 ms
33,340 KB |
testcase_13 | AC | 763 ms
33,324 KB |
testcase_14 | AC | 2 ms
6,944 KB |
testcase_15 | AC | 330 ms
20,352 KB |
testcase_16 | AC | 707 ms
33,124 KB |
testcase_17 | AC | 680 ms
32,976 KB |
testcase_18 | AC | 2 ms
6,944 KB |
testcase_19 | AC | 582 ms
33,364 KB |
testcase_20 | AC | 772 ms
43,500 KB |
testcase_21 | AC | 750 ms
42,992 KB |
testcase_22 | AC | 2 ms
6,940 KB |
testcase_23 | AC | 573 ms
31,736 KB |
testcase_24 | AC | 1,052 ms
50,364 KB |
testcase_25 | AC | 1,045 ms
50,540 KB |
testcase_26 | AC | 2 ms
6,940 KB |
testcase_27 | AC | 100 ms
22,008 KB |
testcase_28 | AC | 186 ms
31,952 KB |
testcase_29 | AC | 159 ms
31,420 KB |
testcase_30 | AC | 2 ms
6,940 KB |
testcase_31 | AC | 153 ms
31,232 KB |
testcase_32 | AC | 192 ms
31,640 KB |
testcase_33 | AC | 157 ms
31,692 KB |
testcase_34 | AC | 1,604 ms
68,900 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 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; } Vec<int> iotaVec(int n, int offset = 0) { Vec<int> 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(int end) { return irange(0, end, 1); } irange per(int rend) { return irange(rend - 1, -1, -1); } #pragma COMMENT("[REFS] Xoshiro: 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; 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 (const auto& [id, v, c] : m_edges[u]) { static_cast<void>(id); 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 (const auto& [id, v, c] : m_edges[u]) { static_cast<void>(id); 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 (const auto& [id, v, c] : m_edges[u]) { static_cast<void>(id); 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 CentroidDecomp { public: CentroidDecomp(const Graph<T>& g) : m_cs(g.v()) { const int N = g.v(); Vec<int> szs(N, 1); Vec<bool> used(N, false); auto sizeDfs = Fix([&](auto dfs, int u, int p) -> int { szs[u] = 1; for (int v : g[u]) { if (v == p or used[v]) { continue; } szs[u] += dfs(v, u); } return szs[u]; }); auto getCentor = Fix([&](auto dfs, int u, int p, int tot) -> int { for (int v : g[u]) { if (v == p or used[v]) { continue; } if (szs[v] * 2 > tot) { return dfs(v, u, tot); } } if (tot == N) { m_center = u; } return u; }); Fix([&](auto dfs, int u, int pc) -> void { const int tot = sizeDfs(u, -1); const int c = getCentor(u, -1, tot); used[c] = true; if (pc != -1) { m_cs.addEdge(pc, c); } for (int v : g[c]) { if (not used[v]) { dfs(v, c); } } })(0, -1); } int center() const { return m_center; } const Graph<>& centers() const { return m_cs; } private: int m_center; Graph<> m_cs; }; 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; 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; 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)); } } int main() { const auto [N, K] = in.tup<int, int>(); Graph<int> g(N); for (int i : rep(N - 1)) { static_cast<void>(i); const auto [u, v, c] = in.tup<int, int, int>(1, 1, 1); g.addEdge(u, v, c, true); } CentroidDecomp centros(g); const int cr = centros.center(); const auto cg = centros.centers(); Vec<bool> used(N, false); using P = Pair<int, int>; i64 ans = 0; auto f = [&](const Map<int, i64>& dp1, const Map<P, i64>& dp2, const Map<int, i64>& dp3, const i64 one) -> i64 { i64 ans = 0; i64 dbl = 0; for (const auto& [k, n] : dp1) { ans += n * (dp3.at(k) - n); // 1色x2色 dbl += n * (one - n); // 1色x1色 } for (const auto& [ks, n] : dp2) { static_cast<void>(ks); ans += n * (n - 1) / 2; // 2色x2色 } return ans + dbl / 2; }; Fix([&](auto dfs, int c) -> void { used[c] = true; Map<int, i64> dp1; Map<P, i64> dp2; Map<int, i64> dp3; int one = 0; for (const auto& e : g[c]) { if (used[e.to]) { continue; } Map<int, i64> subdp1; Map<P, i64> subdp2; Map<int, i64> subdp3; i64 sone = 0; Fix([&](auto dfs, int u, int p, const P& ks) -> void { if (ks.second == INF<int>) { dp1[ks.first]++; dp3[ks.first]++; subdp1[ks.first]++; subdp3[ks.first]++; sone++; one++; } else { ans++; dp2[ks]++; dp3[ks.first]++; dp3[ks.second]++; subdp2[ks]++; subdp3[ks.first]++; subdp3[ks.second]++; } for (const auto& e : g[u]) { const int v = e.to; if (v == p or used[v]) { continue; } const int k = e.cost; auto nks = ks; if (ks.first == k or ks.second == k) { ; } else if (ks.second == INF<int>) { nks.second = k; } else { continue; } if (nks.first > nks.second) { std::swap(nks.first, nks.second); } dfs(v, u, nks); } })(e.to, c, P{e.cost, INF<int>}); ans -= f(subdp1, subdp2, subdp3, sone); } ans += f(dp1, dp2, dp3, one); for (int nc : cg[c]) { dfs(nc); } })(cr); out.ln(ans); return 0; }