#973869 (C++23) No.2733 Just K-times TSP

提出ソース

結果

問題	No.2733 Just K-times TSP
ユーザー	rogi52
提出日時	2024-04-19 21:40:11
言語	C++23 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	1,058 ms / 2,000 ms
コード長	14,509 bytes
コンパイル時間	3,246 ms
コンパイル使用メモリ	260,680 KB
実行使用メモリ	15,928 KB
最終ジャッジ日時	2024-10-11 14:27:16
合計ジャッジ時間	8,530 ms
ジャッジサーバーID （参考情報）	judge4 / judge3

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	2 ms 5,248 KB
testcase_01	AC	2 ms 5,248 KB
testcase_02	AC	2 ms 5,248 KB
testcase_03	AC	2 ms 5,248 KB
testcase_04	AC	2 ms 5,248 KB
testcase_05	AC	2 ms 5,248 KB
testcase_06	AC	2 ms 5,248 KB
testcase_07	AC	2 ms 5,248 KB
testcase_08	AC	2 ms 5,248 KB
testcase_09	AC	2 ms 5,248 KB
testcase_10	AC	2 ms 5,248 KB
testcase_11	AC	2 ms 6,820 KB
testcase_12	AC	3 ms 6,820 KB
testcase_13	AC	3 ms 6,820 KB
testcase_14	AC	7 ms 6,816 KB
testcase_15	AC	7 ms 6,816 KB
testcase_16	AC	5 ms 6,816 KB
testcase_17	AC	70 ms 6,820 KB
testcase_18	AC	76 ms 6,820 KB
testcase_19	AC	85 ms 6,816 KB
testcase_20	AC	23 ms 6,816 KB
testcase_21	AC	67 ms 6,816 KB
testcase_22	AC	792 ms 15,852 KB
testcase_23	AC	76 ms 6,820 KB
testcase_24	AC	471 ms 9,552 KB
testcase_25	AC	455 ms 9,588 KB
testcase_26	AC	2 ms 6,816 KB
testcase_27	AC	3 ms 6,816 KB
testcase_28	AC	9 ms 6,816 KB
testcase_29	AC	32 ms 6,816 KB
testcase_30	AC	93 ms 6,816 KB
testcase_31	AC	232 ms 6,820 KB
testcase_32	AC	519 ms 9,576 KB
testcase_33	AC	1,058 ms 15,928 KB

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ソースコード

raw source code

#line 2 "cp-library/src/cp-template.hpp"
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
using uint = unsigned int;
using ull  = unsigned long long;
using i32 = int;
using u32 = unsigned int;
using i64 = long long;
using u64 = unsigned long long;
using i128 = __int128_t;
template < class T > bool chmin(T& a, T b) { if(a > b) { a = b; return true; } return false; }
template < class T > bool chmax(T& a, T b) { if(a < b) { a = b; return true; } return false; }
template < class T, class U > T ceil (T x, U y) { return (x > 0 ? (x + y - 1) / y :           x / y); }
template < class T, class U > T floor(T x, U y) { return (x > 0 ?           x / y : (x - y + 1) / y); }
int popcnt(i32 x) { return __builtin_popcount(x); }
int popcnt(u32 x) { return __builtin_popcount(x); }
int popcnt(i64 x) { return __builtin_popcountll(x); }
int popcnt(u64 x) { return __builtin_popcountll(x); }

#line 2 "cp-library/src/utility/rep_itr.hpp"
template < class T > struct itr_rep {
    T i, d;
    constexpr itr_rep(const T i) noexcept : i(i), d(1) {}
    constexpr itr_rep(const T i, const T d) noexcept : i(i), d(d) {}
    void operator++() noexcept { i += d; }
    constexpr int operator*() const noexcept { return i; }
    constexpr bool operator!=(const itr_rep x) const noexcept { return d > 0 ? i < x.i : i > x.i; }
};

template < class T > struct rep {
    const itr_rep< T > s, t;
    constexpr rep(const T t) noexcept : s(0), t(t) {}
    constexpr rep(const T s, const T t) noexcept : s(s), t(t) {}
    constexpr rep(const T s, const T t, const T d) noexcept : s(s, d), t(t, d) {}
    constexpr auto begin() const noexcept { return s; }
    constexpr auto end  () const noexcept { return t; }
};

template < class T > struct revrep {
    const itr_rep < T > s, t;
    constexpr revrep(const T t) noexcept : s(t - 1, -1), t(-1, -1) {}
    constexpr revrep(const T s, const T t) noexcept : s(t - 1, -1), t(s - 1, -1) {}
    constexpr revrep(const T s, const T t, const T d) noexcept : s(t - 1, -d), t(s - 1, -d) {}
    constexpr auto begin() const noexcept { return s; }
    constexpr auto end  () const noexcept { return t; }
};
#line 3 "cp-library/src/utility/io.hpp"

/* 128bit integer */
istream& operator>>(istream& is, i128& x) {
    std::string s; is >> s;
    int pm = (s[0] == '-');
    x = 0;
    for(int i : rep(pm, int(s.size()))) x = x * 10 + (s[i] - '0');
    if(pm) x *= -1;
    return is;
}
ostream& operator<<(ostream& os, const i128& x) {
    if(x == 0) return os << '0';
    i128 y = x;
    if(y < 0) { os << '-'; y *= -1; }
    std::vector<int> ny;
    while(y > 0) { ny.push_back(y % 10); y /= 10; }
    for(int i : revrep(ny.size())) os << ny[i];
    return os;
}

template < class S, class T > istream& operator>>(istream& is,       std::pair< S, T >& x) { is >> x.first        >> x.second; return is; }
template < class S, class T > ostream& operator<<(ostream& os, const std::pair< S, T >& x) { os << x.first << " " << x.second; return os; }

namespace scanner {
    struct sca {
        template < class T > operator T() {
            T s; std::cin >> s; return s;
        }
    };
    struct vec {
        int n;
        vec(int n) : n(n) {}
        template < class T > operator std::vector< T >() {
            std::vector< T > v(n);
            for(T& x : v) std::cin >> x;
            return v;
        }
    };
    struct mat {
        int h, w;
        mat(int h, int w) : h(h), w(w) {}
        template < class T > operator std::vector< std::vector< T > >() {
            std::vector m(h, std::vector< T >(w));
            for(std::vector< T >& v : m) for(T& x : v) std::cin >> x;
            return m;
        }
    };
    struct speedup {
        speedup() {
            std::cin.tie(0);
            std::ios::sync_with_stdio(0);
        }
    } speedup_instance;
}
scanner::sca in() { return scanner::sca(); }
scanner::vec in(int n) { return scanner::vec(n); }
scanner::mat in(int h, int w) { return scanner::mat(h, w); }

namespace printer {
    void precision(int d) { std::cout << std::fixed << std::setprecision(d); }
    void flush() { std::cout.flush(); }
}

template < class T >
ostream& operator<<(ostream& os, const std::vector< T > a) {
    int n = a.size();
    for(int i : rep(n)) { os << a[i]; if(i != n - 1) os << ' '; }
    return os;
}

int print() { std::cout << '\n'; return 0; }
template < class head, class... tail > int print(head&& h, tail&&... t) {
    std::cout << h; if(sizeof...(tail)) std::cout << ' ';
    return print(std::forward<tail>(t)...);
}
template < class T > int print_n(const std::vector< T > a) {
    int n = a.size();
    for(int i : rep(n)) std::cout << a[i] << "\n";
    return 0;
}


#line 2 "cp-library/src/utility/key_val.hpp"

template < class K, class V >
struct key_val {
    K key; V val;
    key_val() {}
    key_val(K key, V val) : key(key), val(val) {}
    template < std::size_t Index >
    std::tuple_element_t< Index, key_val >& get() {
        if constexpr (Index == 0) return key;
        if constexpr (Index == 1) return val;
    }
};

namespace std {

template < class K, class V > struct tuple_size < key_val< K, V > > : integral_constant< size_t, 2 > {};
template < class K, class V > struct tuple_element < 0, key_val< K, V > > { using type = K; };
template < class K, class V > struct tuple_element < 1, key_val< K, V > > { using type = V; };

}
#line 2 "cp-library/src/utility/vec_op.hpp"
template < class T > key_val< int, T > max_of(const vector< T >& a) {
    int i = std::max_element(a.begin(), a.end()) - a.begin();
    return {i, a[i]};
}
template < class T > key_val< int, T > min_of(const vector< T >& a) {
    int i = std::min_element(a.begin(), a.end()) - a.begin();
    return {i, a[i]};
}
template < class S, class T > S sum_of(const vector< T >& a) {
    S sum = 0;
    for(const T x : a) sum += x;
    return sum;
}
template < class S, class T > vector< S > freq_of(const vector< T >& a, T L, T R) {
    vector< S > res(R - L, S(0));
    for(const T x : a) res[x - L] += 1;
    return res;
}
template < class S, class T > struct prefix_sum {
    vector< S > s;
    prefix_sum(const vector< T >& a) : s(a) {
        s.insert(s.begin(), S(0));
        for(int i : rep(a.size())) s[i + 1] += s[i];
    }
    // [L, R)
    S sum(int L, int R) { return s[R] - s[L]; }
};
#line 3 "cp-library/src/utility/heap.hpp"

template < class T > using heap_min = std::priority_queue< T, std::vector< T >, std::greater< T > >;
template < class T > using heap_max = std::priority_queue< T, std::vector< T >, std::less< T > >;

#line 27 "cp-library/src/cp-template.hpp"

#line 1 "cp-library/src/algorithm/bin_search.hpp"
template < class T, class F >
T bin_search(T ok, T ng, F f) {
    while(abs(ng - ok) > 1) {
        T mid = (ok + ng) / 2;
        (f(mid) ? ok : ng) = mid;
    }
    return ok;
}

template < class T, class F >
T bin_search_real(T ok, T ng, F f, int step = 80) {
    while(step--) {
        T mid = (ok + ng) / 2;
        (f(mid) ? ok : ng) = mid;
    }
    return ok;
}
#line 2 "cp-library/src/algorithm/argsort.hpp"

template < class T > std::vector< int > argsort(const std::vector< T > &a) {
    std::vector< int > ids((int)a.size());
    std::iota(ids.begin(), ids.end(), 0);
    std::sort(ids.begin(), ids.end(), [&](int i, int j) {
        return a[i] < a[j] || (a[i] == a[j] && i < j);
    });
    return ids;
}
#line 1 "macro.hpp"
namespace macro {

using size_type = int;
template < class container > void  sort(container& a) { std::sort(std:: begin(a), std:: end(a)); }
template < class container > void rsort(container& a) { std::sort(std::rbegin(a), std::rend(a)); }
template < class container > void reverse(container& a) { std::reverse(std::begin(a), std::end(a)); }
template < class container > void unique(container& a) {
    std::sort(std::begin(a), std::end(a));
    a.erase(std::unique(std::begin(a), std::end(a)), std::end(a));
}
template < class container > container  sorted(const container& a) { container b = a;  sort(b); return std::move(b); }
template < class container > container rsorted(const container& a) { container b = a; rsort(b); return std::move(b); }
template < class container, class compare > void sort(container& a, const compare& cmp) { std::sort(std::begin(a), std::end(a), cmp); }
template < class container, class compare > container sorted(const container& a, const compare& cmp) { container b = a; sort(b, cmp); return std::move(b); }
template < class container, class value > size_type lower_bound(const container& a, const value& x) { return std::lower_bound(std::begin(a), std::end(a), x) - std::begin(a); }
template < class container, class value > size_type upper_bound(const container& a, const value& x) { return std::upper_bound(std::begin(a), std::end(a), x) - std::begin(a); }

const std::vector<std::pair<size_type, size_type>> dir4 = { {+1,  0}, {-1,  0}, { 0, +1}, { 0, -1} };
const std::vector<std::pair<size_type, size_type>> dir8 = { {-1, -1}, {-1,  0}, {-1, +1}, { 0, -1}, { 0, +1}, {+1, -1}, {+1,  0}, {+1, +1} };

#ifdef _DEBUG
#define debug(x) std::cout << "[" << __LINE__ << "] " << #x << ": " << x << std::endl
#else
#define debug(x)
#endif

template < class container > void concat(container& a, const container& b) {
    a.insert(std::end(a), std::begin(b), std::end(b));
}
std::vector<size_type> iota(const size_type n) {
    std::vector<size_type> I(n);
    std::iota(std::begin(I), std::end(I), 0);
    return I;
}
template < class container > std::vector<size_type> sort_idx(const container& a) {
    const size_type n = a.size();
    std::vector<size_type> I = iota(n);
    std::sort(std::begin(I), std::end(I), [&](size_type i, size_type j) { return a[i] < a[j] or (a[i] == a[j] and i < j); });
    return I;
}
template < class container, class compare > std::vector<size_type> sort_idx(const container& a, const compare& cmp) {
    const size_type n = a.size();
    std::vector<size_type> I = iota(n);
    std::sort(std::begin(I), std::end(I), [&](size_type i, size_type j) { return cmp(a[i], a[j]) or (a[i] == a[j] and i < j); });
    return std::move(I);
}

struct grid {
    using size_type = int;
    size_type H, W;
    grid(const size_type H, const size_type W) : H(H), W(W) {}
    bool contains(const size_type i, const size_type j) {
        return 0 <= i and i < H and 0 <= j and j < W;
    }
};

using f64 = long double;

template < class T > vector< T >& operator++(vector< T >& a) { for(T& x : a) x++; return a; }
template < class T > vector< T >& operator--(vector< T >& a) { for(T& x : a) x--; return a; }
template < class T > vector< T >  operator++(vector< T >& a, signed) { vector< T > res = a; for(T& x : a) x++; return res; }
template < class T > vector< T >  operator--(vector< T >& a, signed) { vector< T > res = a; for(T& x : a) x--; return res; }

} // namespace macro

using namespace macro;
#line 2 "cp-library/src/number/modint.hpp"
struct modinfo { uint mod, root, isprime; };
template < modinfo const &ref >
struct modint {
    static constexpr uint const &mod = ref.mod;
    static constexpr uint const &root = ref.root;
    static constexpr uint const &isprime = ref.isprime;
    uint v = 0;
    constexpr modint& s(uint v) { this->v = v < mod ? v : v - mod; return *this; }
    constexpr modint(ll v = 0) { s(v % mod + mod); }
    modint operator-() const { return modint() - *this; }
    modint& operator+=(const modint& rhs) { return s(v + rhs.v); }
    modint& operator-=(const modint& rhs) { return s(v + mod - rhs.v); }
    modint& operator*=(const modint& rhs) { v = ull(v) * rhs.v % mod; return *this; }
    modint& operator/=(const modint& rhs) { return *this *= inv(rhs); }
    modint operator+(const modint& rhs) const { return modint(*this) += rhs; }
    modint operator-(const modint& rhs) const { return modint(*this) -= rhs; }
    modint operator*(const modint& rhs) const { return modint(*this) *= rhs; }
    modint operator/(const modint& rhs) const { return modint(*this) /= rhs; }
    friend modint pow(modint x, ll n) { modint res(1); while(n > 0) { if(n & 1) res *= x; x *= x; n >>= 1; } return res; }
    friend modint inv(modint v) {
        if(isprime) {
            return pow(v, mod - 2);
        } else {
            ll a = v.v, b = modint::mod, x = 1, y = 0, t;
            while(b > 0) { t = a / b; swap(a -= t * b, b); swap(x -= t * y, y); }
            return modint(x);
        }
    }
    friend modint operator+(int x, const modint& y) { return modint(x) + y; }
    friend modint operator-(int x, const modint& y) { return modint(x) - y; }
    friend modint operator*(int x, const modint& y) { return modint(x) * y; }
    friend modint operator/(int x, const modint& y) { return modint(x) / y; }
    friend istream& operator>>(istream& is, modint& m) { ll x; is >> x; m = modint(x); return is; }
    friend ostream& operator<<(ostream& os, const modint& m) { return os << m.v; }
    bool operator==(const modint& r) const { return v == r.v; }
    bool operator!=(const modint& r) const { return v != r.v; }
    static uint get_mod() { return mod; }
    static int is_prime() { return isprime; }
};
constexpr modinfo base998244353 { 998244353, 3, 1 };
constexpr modinfo base1000000007 { 1000000007, 0, 1 };
using mint998244353 = modint< base998244353 >;
using mint1000000007 = modint< base1000000007 >;
#line 4 "A.cpp"

int main() {
    int N = in(), M = in(), K = in();
    vector<vector<int>> G(N);
    for(int i : rep(M)) {
        int u = in(), v = in(); u--, v--;
        G[u].push_back(v);
        G[v].push_back(u);
    }

    auto hash = [&](vector<int> s) {
        int x = 0;
        for(int i : rep(N)) x = x * (K + 1) + s[i];
        return x;
    };

    auto hash_inv = [&](int x) {
        vector<int> s(N);
        for(int i : revrep(N)) {
            s[i] = x % (K + 1);
            x /= (K + 1);
        }
        return s;
    };

    using mint = mint998244353;
    const int len = pow(K + 1, N);
    vector dp(len * N, mint(0));
    for(int v : rep(N)) {
        vector<int> c(N, 0);
        c[v] = 1;
        dp[hash(c) * N + v] = 1;
    }
    for(int x : rep(len * N)) {
        auto [v, s] = make_pair(x % N, x / N);
        vector<int> c = hash_inv(s);
        for(int to : G[v]) if(c[to] + 1 <= K) {
            c[to] += 1;
            dp[hash(c) * N + to] += dp[x];
            c[to] -= 1;
        }
    }

    mint ans = 0;
    for(int x : rep(len * N)) {
        auto [v, s] = make_pair(x % N, x / N);
        if(hash_inv(s) == vector<int>(N, K)) ans += dp[x];
    }
    print(ans);
}

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結果

テストケース

ソースコード