#655050 (C++17) No.1502 Many Simple Additions

提出ソース

結果

問題	No.1502 Many Simple Additions
ユーザー	KoD
提出日時	2021-05-07 21:39:13
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	WA
実行時間	-
コード長	8,114 bytes
コンパイル時間	2,434 ms
コンパイル使用メモリ	219,808 KB
実行使用メモリ	16,636 KB
最終ジャッジ日時	2024-09-15 09:31:38
合計ジャッジ時間	6,102 ms
ジャッジサーバーID （参考情報）	judge5 / 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 5,248 KB
testcase_01	AC	2 ms 5,248 KB
testcase_02	AC	2 ms 5,376 KB
testcase_03	AC	2 ms 5,376 KB
testcase_04	AC	2 ms 5,376 KB
testcase_05	WA	-
testcase_06	WA	-
testcase_07	WA	-
testcase_08	WA	-
testcase_09	WA	-
testcase_10	WA	-
testcase_11	WA	-
testcase_12	AC	2 ms 5,376 KB
testcase_13	AC	2 ms 5,376 KB
testcase_14	WA	-
testcase_15	WA	-
testcase_16	WA	-
testcase_17	WA	-
testcase_18	WA	-
testcase_19	WA	-
testcase_20	WA	-
testcase_21	WA	-
testcase_22	WA	-
testcase_23	WA	-
testcase_24	WA	-
testcase_25	AC	2 ms 5,376 KB
testcase_26	AC	2 ms 5,376 KB
testcase_27	AC	50 ms 12,116 KB
testcase_28	AC	51 ms 12,416 KB
testcase_29	AC	8 ms 7,168 KB
testcase_30	WA	-
testcase_31	WA	-
testcase_32	WA	-
testcase_33	WA	-
testcase_34	WA	-
testcase_35	WA	-
testcase_36	AC	32 ms 6,944 KB
testcase_37	WA	-
testcase_38	AC	44 ms 9,660 KB
testcase_39	AC	25 ms 6,144 KB
testcase_40	AC	18 ms 6,144 KB
testcase_41	AC	5 ms 5,376 KB
testcase_42	AC	73 ms 14,092 KB
testcase_43	AC	2 ms 5,376 KB

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ソースコード

raw source code

#include <bits/stdc++.h>

using i32 = std::int32_t;
using u32 = std::uint32_t;
using i64 = std::int64_t;
using u64 = std::uint64_t;
using i128 = __int128_t;
using u128 = __uint128_t;
using isize = std::ptrdiff_t;
using usize = std::size_t;

class rep {
    struct Iter {
        usize itr;
        constexpr Iter(const usize pos) noexcept : itr(pos) {}
        constexpr void operator++() noexcept { ++itr; }
        constexpr bool operator!=(const Iter& other) const noexcept {
            return itr != other.itr;
        }
        constexpr usize operator*() const noexcept { return itr; }
    };
    const Iter first, last;

  public:
    explicit constexpr rep(const usize first, const usize last) noexcept
        : first(first), last(std::max(first, last)) {}
    constexpr Iter begin() const noexcept { return first; }
    constexpr Iter end() const noexcept { return last; }
};

template <class F> struct RecLambda : private F {
    template <class G>
    explicit constexpr RecLambda(G&& g) : F(std::forward<G>(g)) {}
    template <class... Args>
    constexpr decltype(auto) operator()(Args&&... args) const {
        return F::operator()(*this, std::forward<Args>(args)...);
    }
};

template <class G> explicit RecLambda(G&&) -> RecLambda<std::decay_t<G>>;

template <class T> bool setmin(T& lhs, const T& rhs) {
    if (lhs > rhs) {
        lhs = rhs;
        return true;
    }
    return false;
}

template <class T> bool setmax(T& lhs, const T& rhs) {
    if (lhs < rhs) {
        lhs = rhs;
        return true;
    }
    return false;
}

template <class T> constexpr T totient(T x) {
    T ret = x;
    for (T i = 2; i * i <= x; ++i) {
        if (x % i == 0) {
            ret /= i;
            ret *= i - 1;
            while (x % i == 0) x /= i;
        }
    }
    if (x > 1) {
        ret /= x;
        ret *= x - 1;
    }
    return ret;
}

template <class T> constexpr T rem_euclid(T value, const T& mod) {
    return (value %= mod) >= 0 ? value : value + mod;
}

template <u32 MOD,
          std::enable_if_t<((u32)1 <= MOD and MOD <= ((u32)1 << 31))>* =
              nullptr>
class StaticModint {
    using Mint = StaticModint;

    static inline constexpr u32 PHI = totient(MOD);
    u32 v;

  public:
    static constexpr u32 mod() noexcept { return MOD; }

    template <class T,
              std::enable_if_t<std::is_signed_v<T> and std::is_integral_v<T>>* =
                  nullptr>
    static constexpr T normalize(const T x) noexcept {
        return rem_euclid<std::common_type_t<T, i64>>(x, MOD);
    }
    template <class T,
              std::enable_if_t<std::is_unsigned_v<T> and
                               std::is_integral_v<T>>* = nullptr>
    static constexpr T normalize(const T x) noexcept {
        return x % MOD;
    }

    constexpr StaticModint() noexcept : v(0) {}
    template <class T>
    constexpr StaticModint(const T x) noexcept : v(normalize(x)) {}
    template <class T> static constexpr Mint raw(const T x) noexcept {
        Mint ret;
        ret.v = x;
        return ret;
    }

    constexpr u32 get() const noexcept { return v; }
    constexpr Mint neg() const noexcept { return raw(v == 0 ? 0 : MOD - v); }
    constexpr Mint inv() const noexcept { return pow(PHI - 1); }
    constexpr Mint pow(u64 exp) const noexcept {
        Mint ret(1), mult(*this);
        for (; exp > 0; exp >>= 1) {
            if (exp & 1) ret *= mult;
            mult *= mult;
        }
        return ret;
    }

    constexpr Mint operator-() const noexcept { return neg(); }
    constexpr Mint operator~() const noexcept { return inv(); }

    constexpr Mint operator+(const Mint& rhs) const noexcept {
        return Mint(*this) += rhs;
    }
    constexpr Mint& operator+=(const Mint& rhs) noexcept {
        if ((v += rhs.v) >= MOD) v -= MOD;
        return *this;
    }

    constexpr Mint operator-(const Mint& rhs) const noexcept {
        return Mint(*this) -= rhs;
    }
    constexpr Mint& operator-=(const Mint& rhs) noexcept {
        if (v < rhs.v) v += MOD;
        v -= rhs.v;
        return *this;
    }

    constexpr Mint operator*(const Mint& rhs) const noexcept {
        return Mint(*this) *= rhs;
    }
    constexpr Mint& operator*=(const Mint& rhs) noexcept {
        v = (u64)v * rhs.v % MOD;
        return *this;
    }

    constexpr Mint operator/(const Mint& rhs) const noexcept {
        return Mint(*this) /= rhs;
    }
    constexpr Mint& operator/=(const Mint& rhs) noexcept {
        return *this *= rhs.inv();
    }

    constexpr bool operator==(const Mint& rhs) const noexcept {
        return v == rhs.v;
    }
    constexpr bool operator!=(const Mint& rhs) const noexcept {
        return v != rhs.v;
    }
    friend std::ostream& operator<<(std::ostream& stream, const Mint& rhs) {
        return stream << rhs.v;
    }
};

using Modint1000000007 = StaticModint<1000000007>;
using Modint998244353 = StaticModint<998244353>;

template <class T> using Vec = std::vector<T>;

using Fp = Modint1000000007;

void D_main() {
    usize N, M;
    i64 K;
    std::cin >> N >> M >> K;
    Vec<Vec<std::pair<usize, i64>>> graph(N);
    for (const auto i : rep(0, M)) {
        usize x, y;
        i64 z;
        std::cin >> x >> y >> z;
        x -= 1;
        y -= 1;
        graph[x].emplace_back(y, z);
        graph[y].emplace_back(x, z);
    }
    const auto solve = [&](const i64 Max) {
        Vec<i64> A(N), B(N);  // A[i] * x + B[i]
        Vec<usize> seen;
        Vec<std::tuple<usize, usize, i64>> edge;
        seen.reserve(N);
        edge.reserve(M);
        const auto dfs = RecLambda([&](auto&& dfs, const usize u) -> void {
            seen.push_back(u);
            for (const auto [v, s] : graph[u]) {
                if (A[v] == 0) {
                    edge.emplace_back(u, v, s);
                    A[v] = -A[u];
                    B[v] = s - B[u];
                    dfs(v);
                }
            }
        });
        Fp ret = 1;
        for (const auto src : rep(0, N)) {
            if (A[src] == 0) {
                A[src] = 1;
                dfs(src);
                ret *= [&] {
                    std::optional<i64> val;
                    for (const auto [u, v, s] : edge) {
                        if (A[u] == A[v]) {
                            if ((s - B[u] - B[v]) % 2 != 0) {
                                return Fp(0);
                            }
                            val = (s - B[u] - B[v]) / (A[u] + A[v]);
                        } else {
                            if (B[u] + B[v] != s) {
                                return Fp(0);
                            }
                        }
                    }
                    if (val) {
                        const auto x = val.value();
                        for (const auto u : seen) {
                            const auto y = A[u] * x + B[u];
                            if (!(1 <= y and y <= Max)) {
                                return Fp(0);
                            }
                        }
                        for (const auto [u, v, s] : edge) {
                            if (A[u] * x + B[u] + A[v] * x + B[v] != s) {
                                return Fp(0);
                            }
                        }
                        return Fp(1);
                    }
                    i64 low = 1, high = Max;
                    for (const auto u : seen) {
                        if (A[u] == 1) {
                            setmin(high, Max - B[u]);
                            setmax(low, 1 - B[u]);
                        } else {
                            setmin(high, -(1 - B[u]));
                            setmax(low, -(Max - B[u]));
                        }
                    }
                    return Fp(std::max<i64>(high - low + 1, 0));
                }();
                seen.clear();
                edge.clear();
            }
        }
        return ret;
    };
    std::cout << solve(K) - solve(K - 1) << '\n';
}

int main() {
    std::ios_base::sync_with_stdio(false);
    std::cin.tie(nullptr);
    D_main();
    return 0;
}

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結果

テストケース

ソースコード