結果

問題 No.1843 Tree ANDistance
ユーザー scol_kpscol_kp
提出日時 2022-02-19 00:59:18
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 685 ms / 2,000 ms
コード長 9,055 bytes
コンパイル時間 2,227 ms
コンパイル使用メモリ 210,132 KB
実行使用メモリ 20,736 KB
最終ジャッジ日時 2024-06-29 10:07:16
合計ジャッジ時間 11,267 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge4
このコードへのチャレンジ
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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 481 ms
11,672 KB
testcase_01 AC 490 ms
11,668 KB
testcase_02 AC 559 ms
20,736 KB
testcase_03 AC 685 ms
18,040 KB
testcase_04 AC 442 ms
12,196 KB
testcase_05 AC 209 ms
11,024 KB
testcase_06 AC 224 ms
11,120 KB
testcase_07 AC 418 ms
11,136 KB
testcase_08 AC 401 ms
11,332 KB
testcase_09 AC 532 ms
19,200 KB
testcase_10 AC 474 ms
18,048 KB
testcase_11 AC 365 ms
12,292 KB
testcase_12 AC 187 ms
10,304 KB
testcase_13 AC 200 ms
10,432 KB
testcase_14 AC 10 ms
6,940 KB
testcase_15 AC 11 ms
6,944 KB
testcase_16 AC 5 ms
6,940 KB
testcase_17 AC 5 ms
6,944 KB
testcase_18 AC 3 ms
6,944 KB
testcase_19 AC 9 ms
6,940 KB
testcase_20 AC 5 ms
6,940 KB
testcase_21 AC 2 ms
6,944 KB
testcase_22 AC 2 ms
6,940 KB
testcase_23 AC 2 ms
6,940 KB
testcase_24 AC 2 ms
6,944 KB
testcase_25 AC 2 ms
6,944 KB
testcase_26 AC 2 ms
6,940 KB
testcase_27 AC 2 ms
6,940 KB
testcase_28 AC 212 ms
9,708 KB
testcase_29 AC 131 ms
7,552 KB
testcase_30 AC 148 ms
10,624 KB
testcase_31 AC 314 ms
16,384 KB
testcase_32 AC 215 ms
10,252 KB
testcase_33 AC 26 ms
6,940 KB
testcase_34 AC 78 ms
8,104 KB
testcase_35 AC 2 ms
6,940 KB
testcase_36 AC 2 ms
6,944 KB
testcase_37 AC 2 ms
6,940 KB
権限があれば一括ダウンロードができます

ソースコード

diff # 

#include <bits/stdc++.h>
#define FASTIO
using namespace std;

using ll = long long;
using Vi = std::vector<int>;
using Vl = std::vector<ll>;
using Pii = std::pair<int, int>;
using Pll = std::pair<ll, ll>;
template <class T>
using min_priority_queue = std::priority_queue<T, std::vector<T>, std::greater<T>>;

constexpr int I_INF = std::numeric_limits<int>::max();
constexpr ll L_INF = std::numeric_limits<ll>::max();

template <typename T1, typename T2>
inline bool chmin(T1& a, const T2& b) {
    if (a > b) {
        a = b;
        return true;
    }
    return false;
}
template <typename T1, typename T2>
inline bool chmax(T1& a, const T2& b) {
    if (a < b) {
        a = b;
        return true;
    }
    return false;
}

template <std::ostream& os = std::cout>
class Prints {
private:
    class __Prints {
    public:
        __Prints(const char* sep, const char* term) : sep(sep), term(term) {}
        template <class... Args>
#if __cplusplus >= 201703L
        auto operator()(const Args&... args) const -> decltype((os << ... << std::declval<Args>()), void()) {
#else
        void operator()(const Args&... args) const {
#endif
            print(args...);
        }
        template <typename T>
#if __cplusplus >= 201703L
        auto pvec(const T& vec, size_t sz) const -> decltype(os << std::declval<decltype(std::declval<T>()[0])>(), void()) {
#else
        void pvec(const T& vec, size_t sz) const {
#endif
            for (size_t i = 0; i < sz; i++)
                os << vec[i] << (i == sz - 1 ? term : sep);
        }
        template <typename T>
#if __cplusplus >= 201703L
        auto pmat(const T& mat, size_t h, size_t w) const -> decltype(os << std::declval<decltype(std::declval<T>()[0][0])>(), void()) {
#else
        void pmat(const T& mat, size_t h, size_t w) const {
#endif
            for (size_t i = 0; i < h; i++)
                for (size_t j = 0; j < w; j++)
                    os << mat[i][j] << (j == w - 1 ? term : sep);
        }

    private:
        const char *sep, *term;
        void print() const {
            os << term;
        }
        void print_rest() const {
            os << term;
        }
        template <class T, class... Tail>
        void print(const T& head, const Tail&... tail) const {
            os << head, print_rest(tail...);
        }
        template <class T, class... Tail>
        void print_rest(const T& head, const Tail&... tail) const {
            os << sep << head, print_rest(tail...);
        }
    };

public:
    Prints() {}
    __Prints operator()(const char* sep = " ", const char* term = "\n") const {
        return __Prints(sep, term);
    }
};

Prints<> prints;
Prints<std::cerr> eprints;

//%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

template <std::int_fast64_t Modulus>
class ModInt {
    using i64 = std::int_fast64_t;

private:
    i64 m_value;

public:
    constexpr ModInt(const i64 x = 0) noexcept : m_value(x) {
        if (m_value < -Modulus || m_value >= Modulus)
            m_value %= Modulus;
        if (m_value < 0)
            m_value += Modulus;
    }

    constexpr i64 const& value() const noexcept {
        return m_value;
    }

    constexpr ModInt& operator+=(const ModInt rhs) noexcept {
        m_value += rhs.m_value;
        if (m_value >= Modulus) {
            m_value -= Modulus;
        }
        return *this;
    }
    constexpr ModInt& operator-=(const ModInt rhs) noexcept {
        if (m_value < rhs.m_value) {
            m_value += Modulus;
        }
        m_value -= rhs.m_value;
        return *this;
    }
    constexpr ModInt& operator*=(const ModInt rhs) noexcept {
        m_value *= rhs.m_value;
        if (m_value >= Modulus)
            m_value %= Modulus;
        return *this;
    }
    constexpr ModInt& operator/=(ModInt rhs) noexcept {
        *this *= rhs.inv();
        return *this;
    }

    constexpr ModInt& operator++() noexcept {
        *this += 1;
        return *this;
    }
    constexpr ModInt operator++(int) noexcept {
        ModInt res = *this;
        *this += 1;
        return res;
    }
    constexpr ModInt& operator--() noexcept {
        *this -= 1;
        return *this;
    }
    constexpr ModInt operator--(int) noexcept {
        ModInt res = *this;
        *this -= 1;
        return res;
    }

    constexpr ModInt inv() const noexcept {
        i64 q = m_value;
        i64 b = Modulus, u = 1, v = 0;
        i64 tmp = 0;
        while (b) {
            i64 t = q / b;
            q -= t * b;
            tmp = q, q = b, b = tmp;
            u -= t * v;
            tmp = u, u = v, v = tmp;
        }
        if (u < -Modulus || u >= Modulus)
            u %= Modulus;
        if (u < 0)
            u += Modulus;
        return u;
    }

    constexpr ModInt pow(i64 k) const noexcept {
        ModInt res = 1;
        ModInt tmp = 0;
        if (k < 0) {
            tmp = this->inv();
            k = -k;
        } else {
            tmp = *this;
        }
        for (; k > 0; k >>= 1) {
            if (k & 1)
                res *= tmp;
            tmp *= tmp;
        }
        return res;
    }

    friend constexpr ModInt operator+(const ModInt& a) noexcept {
        return a;
    }
    friend constexpr ModInt operator-(const ModInt& a) noexcept {
        return ModInt(0) - a;
    }
    friend constexpr ModInt operator+(const ModInt& lhs, const ModInt& rhs) noexcept {
        return ModInt<Modulus>(lhs) += rhs;
    }
    friend constexpr ModInt operator-(const ModInt& lhs, const ModInt& rhs) noexcept {
        return ModInt<Modulus>(lhs) -= rhs;
    }
    friend constexpr ModInt operator*(const ModInt& lhs, const ModInt& rhs) noexcept {
        return ModInt<Modulus>(lhs) *= rhs;
    }
    friend constexpr ModInt operator/(const ModInt& lhs, const ModInt& rhs) noexcept {
        return ModInt<Modulus>(lhs) /= rhs;
    }

    friend constexpr bool operator<(const ModInt& lhs, const ModInt& rhs) noexcept {
        return lhs.m_value < rhs.m_value;
    }
    friend constexpr bool operator>(const ModInt& lhs, const ModInt& rhs) noexcept {
        return lhs.m_value > rhs.m_value;
    }
    friend constexpr bool operator<=(const ModInt& lhs, const ModInt& rhs) noexcept {
        return lhs.m_value <= rhs.m_value;
    }
    friend constexpr bool operator>=(const ModInt& lhs, const ModInt& rhs) noexcept {
        return lhs.m_value >= rhs.m_value;
    }

    friend constexpr bool operator==(const ModInt& lhs, const ModInt& rhs) noexcept {
        return lhs.m_value == rhs.m_value;
    }
    friend constexpr bool operator!=(const ModInt& lhs, const ModInt& rhs) noexcept {
        return lhs.m_value != rhs.m_value;
    }

    friend std::istream& operator>>(std::istream& is, ModInt& rhs) {
        i64 a;
        is >> a;
        rhs = a;
        return is;
    }
    friend std::ostream& operator<<(std::ostream& os, const ModInt& rhs) {
        os << rhs.m_value;
        return os;
    }
};

constexpr long long MOD = 1000000007;
// constexpr long long MOD = 998244353;
using Mint = ModInt<MOD>;


template <typename T>
struct WeightedEdge {
    int from, to;
    T cost;
    constexpr WeightedEdge(int to, T cost) noexcept : from(-1), to(to), cost(cost) {}
    constexpr WeightedEdge(int from, int to, T cost) noexcept : from(from), to(to), cost(cost) {}
};
template <typename T>
using WeightedGraph = std::vector<std::vector<WeightedEdge<T>>>;

void solve() {
    ll N;
    cin >> N;
    WeightedGraph<ll> g(N);
    for (ll i = 0; i < N - 1; i++) {
        ll a, b, c;
        cin >> a >> b >> c;
        --a, --b;
        g[a].emplace_back(b, c);
        g[b].emplace_back(a, c);
    }
    constexpr ll L = 32;
    Mint ans = 0;
    for (ll i_disit = 0; i_disit < L; i_disit++) {
        vector<Mint> dp(N);
        Mint pow2 = Mint(2).pow(i_disit);
        auto dfs = [&](auto&& self, int u, int par) -> void {
            for (auto [from, to, cost] : g[u]) {
                if (to == par) {
                    continue;
                }
                self(self, to, u);
                if (cost >> i_disit & 1) {
                    dp[u] += dp[to] + 1;
                }
            }
            Mint t = dp[u];
            for (auto [from, to, cost] : g[u]) {
                if (to == par) {
                    continue;
                }
                if (cost >> i_disit & 1) {
                    t += (dp[to] + 1) * (dp[u] - (dp[to] + 1)) / 2;
                }
            }
            ans += pow2 * t;
        };
        dfs(dfs, 0, -1);
    }
    prints()(ans);
}

//%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

int main() {
#ifdef FASTIO
    std::cin.tie(nullptr), std::cout.tie(nullptr);
    std::ios::sync_with_stdio(false);
#endif
#ifdef FILEINPUT
    std::ifstream ifs("./in_out/input.txt");
    std::cin.rdbuf(ifs.rdbuf());
#endif
#ifdef FILEOUTPUT
    std::ofstream ofs("./in_out/output.txt");
    std::cout.rdbuf(ofs.rdbuf());
#endif
    std::cout << std::setprecision(18) << std::fixed;
    solve();
    std::cout << std::flush;
    return 0;
}
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