#787352 (C++17) No.1615 Double Down

提出ソース

結果

問題	No.1615 Double Down
ユーザー	haruki_K
提出日時	2022-08-12 13:30:08
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	90 ms / 10,000 ms
コード長	11,443 bytes
コンパイル時間	2,667 ms
コンパイル使用メモリ	226,984 KB
実行使用メモリ	5,500 KB
最終ジャッジ日時	2023-10-23 23:02:31
合計ジャッジ時間	8,221 ms
ジャッジサーバーID （参考情報）	judge14 / judge12

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	31 ms 4,692 KB
testcase_01	AC	31 ms 4,692 KB
testcase_02	AC	45 ms 4,956 KB
testcase_03	AC	46 ms 4,956 KB
testcase_04	AC	28 ms 4,692 KB
testcase_05	AC	28 ms 4,956 KB
testcase_06	AC	45 ms 5,468 KB
testcase_07	AC	45 ms 5,468 KB
testcase_08	AC	45 ms 5,376 KB
testcase_09	AC	72 ms 5,220 KB
testcase_10	AC	76 ms 5,220 KB
testcase_11	AC	74 ms 5,352 KB
testcase_12	AC	47 ms 5,220 KB
testcase_13	AC	47 ms 5,220 KB
testcase_14	AC	49 ms 5,220 KB
testcase_15	AC	40 ms 5,220 KB
testcase_16	AC	41 ms 5,220 KB
testcase_17	AC	40 ms 5,220 KB
testcase_18	AC	85 ms 5,356 KB
testcase_19	AC	90 ms 5,220 KB
testcase_20	AC	80 ms 5,336 KB
testcase_21	AC	86 ms 5,352 KB
testcase_22	AC	82 ms 5,500 KB
testcase_23	AC	81 ms 5,316 KB
testcase_24	AC	76 ms 5,352 KB
testcase_25	AC	75 ms 5,220 KB
testcase_26	AC	77 ms 5,220 KB
testcase_27	AC	10 ms 4,348 KB
testcase_28	AC	10 ms 4,348 KB
testcase_29	AC	17 ms 4,348 KB
testcase_30	AC	16 ms 4,348 KB
testcase_31	AC	13 ms 4,348 KB
testcase_32	AC	13 ms 4,348 KB
testcase_33	AC	21 ms 4,348 KB
testcase_34	AC	20 ms 4,348 KB
testcase_35	AC	21 ms 4,348 KB
testcase_36	AC	3 ms 4,348 KB
testcase_37	AC	2 ms 4,348 KB
testcase_38	AC	3 ms 4,348 KB
testcase_39	AC	3 ms 4,348 KB
testcase_40	AC	3 ms 4,348 KB
testcase_41	AC	3 ms 4,348 KB
testcase_42	AC	4 ms 4,348 KB
testcase_43	AC	4 ms 4,348 KB
testcase_44	AC	4 ms 4,348 KB
testcase_45	AC	2 ms 4,348 KB
testcase_46	AC	2 ms 4,348 KB
testcase_47	AC	2 ms 4,348 KB
testcase_48	AC	2 ms 4,348 KB
testcase_49	AC	2 ms 4,348 KB
testcase_50	AC	2 ms 4,348 KB
testcase_51	AC	2 ms 4,348 KB
testcase_52	AC	2 ms 4,348 KB
testcase_53	AC	2 ms 4,348 KB
testcase_54	AC	2 ms 4,348 KB
testcase_55	AC	2 ms 4,348 KB
testcase_56	AC	2 ms 4,348 KB

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ソースコード

raw source code

// >>> TEMPLATES
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
using i32 = int32_t;
using i64 = int64_t;
using u32 = uint32_t;
using u64 = uint64_t;
#define int ll
using pii = pair<int, int>;
#define rep(i, n) for (int i = 0; i < (int)(n); i++)
#define rep1(i, n) for (int i = 1; i <= (int)(n); i++)
#define repR(i, n) for (int i = (int)(n)-1; i >= 0; i--)
#define rep1R(i, n) for (int i = (int)(n); i >= 1; i--)
#define loop(i, a, B) for (int i = a; i B; i++)
#define loopR(i, a, B) for (int i = a; i B; i--)
#define all(x) begin(x), end(x)
#define allR(x) rbegin(x), rend(x)
#define pb push_back
#define eb emplace_back
#define fst first
#define snd second
template <class Int> auto constexpr inf_ = numeric_limits<Int>::max()/2-1;
auto constexpr INF32 = inf_<int32_t>;
auto constexpr INF64 = inf_<int64_t>;
auto constexpr INF   = inf_<int>;
#ifdef LOCAL
#include "debug.hpp"
#define oj_local(x, y) (y)
#else
#define dump(...) (void)(0)
#define debug if (0)
#define oj_local(x, y) (x)
#endif
template <class T, class Comp> struct pque : priority_queue<T, vector<T>, Comp> { vector<T> &data() { return this->c; } void clear() { this->c.clear(); } };
template <class T> using pque_max = pque<T, less<T>>;
template <class T> using pque_min = pque<T, greater<T>>;
template <class T, class = typename T::iterator, enable_if_t<!is_same<T, string>::value, int> = 0>
ostream& operator<<(ostream& os, T const& a) { bool f = true; for (auto const& x : a) os << (f ? "" : " ") << x, f = false; return os; }
template <class T, size_t N, enable_if_t<!is_same<T, char>::value, int> = 0>
ostream& operator<<(ostream& os, const T (&a)[N]) { bool f = true; for (auto const& x : a) os << (f ? "" : " ") << x, f = false; return os; }
template <class T, class = decltype(begin(declval<T&>())), class = typename enable_if<!is_same<T, string>::value>::type>
istream& operator>>(istream& is, T &a) { for (auto& x : a) is >> x; return is; }
template <class T, class S> ostream& operator<<(ostream& os, pair<T, S> const& p) { return os << p.first << " " << p.second; }
template <class T, class S> istream& operator>>(istream& is, pair<T, S>& p) { return is >> p.first >> p.second; }
template <class... T> ostream& operator<<(ostream& os, tuple<T...> const& t)
{ bool f = true; apply([&](auto&&... x) { ((os << (f ? f = false, "" : " ") << x), ...); }, t); return os; }
template <class... T> istream& operator>>(istream& is, tuple<T...>& t) { apply([&](auto&&... x) { ((is >> x), ...); }, t); return is; }
struct IOSetup { IOSetup() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); } } iosetup;
template <class F> struct FixPoint : private F {
    constexpr FixPoint(F&& f) : F(forward<F>(f)) {}
    template <class... T> constexpr auto operator()(T&&... x) const { return F::operator()(*this, forward<T>(x)...); }
};
struct MakeFixPoint { template <class F> constexpr auto operator|(F&& f) const { return FixPoint<F>(forward<F>(f)); } };
#define def(name, ...) auto name = MakeFixPoint() | [&](auto &&name, __VA_ARGS__)
template <class T, size_t d> struct vec_impl {
    using type = vector<typename vec_impl<T, d-1>::type>;
    template <class... U> static type make_v(size_t n, U&&... x) { return type(n, vec_impl<T, d-1>::make_v(forward<U>(x)...)); }
};
template <class T> struct vec_impl<T, 0> { using type = T; static type make_v(T const& x = {}) { return x; } };
template <class T, size_t d = 1> using vec = typename vec_impl<T, d>::type;
template <class T, size_t d = 1, class... Args> auto make_v(Args&&... args) { return vec_impl<T, d>::make_v(forward<Args>(args)...); }
template <class T> void quit(T const& x) { cout << x << '\n'; exit(0); }
template <class T, class U> constexpr bool chmin(T& x, U const& y) { if (x > (T)y) { x = (T)y; return true; } return false; }
template <class T, class U> constexpr bool chmax(T& x, U const& y) { if (x < (T)y) { x = (T)y; return true; } return false; }
template <class It> constexpr auto sumof(It b, It e) { return accumulate(b, e, typename iterator_traits<It>::value_type{}); }
template <class T, class = decltype(begin(declval<T&>()))> constexpr auto min(T const& a) { return *min_element(begin(a), end(a)); }
template <class T, class = decltype(begin(declval<T&>()))> constexpr auto max(T const& a) { return *max_element(begin(a), end(a)); }
template <class T> constexpr T min(set<T> const& st) { assert(st.size()); return *st.begin(); }
template <class T> constexpr T max(set<T> const& st) { assert(st.size()); return *prev(st.end()); }
template <class T> constexpr T min(multiset<T> const& st) { assert(st.size()); return *st.begin(); }
template <class T> constexpr T max(multiset<T> const& st) { assert(st.size()); return *prev(st.end()); }
constexpr ll max(signed x, ll y) { return max<ll>(x, y); }
constexpr ll max(ll x, signed y) { return max<ll>(x, y); }
constexpr ll min(signed x, ll y) { return min<ll>(x, y); }
constexpr ll min(ll x, signed y) { return min<ll>(x, y); }
template <class T> int sz(T const& x) { return x.size(); }
template <class C, class T> int lbd(C const& v, T const& x) { return lower_bound(begin(v), end(v), x)-begin(v); }
template <class C, class T> int ubd(C const& v, T const& x) { return upper_bound(begin(v), end(v), x)-begin(v); }
constexpr ll mod(ll x, ll m) { assert(m > 0); return (x %= m) < 0 ? x+m : x; }
constexpr ll div_floor(ll x, ll y) { assert(y != 0); return x/y - ((x^y) < 0 and x%y); }
constexpr ll div_ceil(ll x, ll y) { assert(y != 0); return x/y + ((x^y) > 0 and x%y); }
constexpr int dx[] = { 1, 0, -1, 0, 1, -1, -1, 1 };
constexpr int dy[] = { 0, 1, 0, -1, 1, 1, -1, -1 };
auto four_nbd(int n, int m) {
    static vector<pair<int, int>> v;
    return [n, m](int i, int j) {
        const int dx[] = { 1, 0, -1, 0 }, dy[] = { 0, 1, 0, -1 };
        v.clear();
        rep (dir, 4) {
            int ni = i+dx[dir], nj = j+dy[dir];
            if (0 <= ni and ni < n and 0 <= nj and nj < m) {
                v.emplace_back(ni, nj);
            }
        }
        return v;
    };
};
template <class Comp> vector<int> iota(int n, Comp comp) {
    vector<int> idx(n);
    iota(begin(idx), end(idx), 0);
    stable_sort(begin(idx), end(idx), comp);
    return idx;
}
constexpr int popcnt(ll x) { return __builtin_popcountll(x); }
mt19937_64 seed_{random_device{}()};
template <class Int> Int rand(Int a, Int b) { return uniform_int_distribution<Int>(a, b)(seed_); }
i64 irand(i64 a, i64 b) { return rand<i64>(a, b); } // [a, b]
u64 urand(u64 a, u64 b) { return rand<u64>(a, b); } //
template <class It> void shuffle(It l, It r) { shuffle(l, r, seed_); }
template <class V> V &operator--(V &v) { for (auto &x : v) --x; return v; }
template <class V> V &operator++(V &v) { for (auto &x : v) ++x; return v; }
bool next_product(vector<int> &v, int m) {
    repR (i, v.size()) if (++v[i] < m) return true; else v[i] = 0;
    return false;
}
bool next_product(vector<int> &v, vector<int> const& s) {
    repR (i, v.size()) if (++v[i] < s[i]) return true; else v[i] = 0;
    return false;
}
template <class vec> int sort_unique(vec &v) {
    sort(begin(v), end(v));
    v.erase(unique(begin(v), end(v)), end(v));
    return v.size();
}
template <class It> auto prefix_sum(It l, It r) {
    vector<typename It::value_type> s = { 0 };
    while (l != r) s.emplace_back(s.back() + *l++);
    return s;
}
template <class It> auto suffix_sum(It l, It r) {
    vector<typename It::value_type> s = { 0 };
    while (l != r) s.emplace_back(*--r + s.back());
    reverse(s.begin(), s.end());
    return s;
}
template <class T> T pop(vector<T> &a) { auto x = a.back(); a.pop_back(); return x; }
template <class T> T pop_back(vector<T> &a) { auto x = a.back(); a.pop_back(); return x; }
template <class T, class V, class C> T pop(priority_queue<T, V, C> &a) { auto x = a.top(); a.pop(); return x; }
template <class T> T pop(queue<T> &a) { auto x = a.front(); a.pop(); return x; }
template <class T> T pop_front(deque<T> &a) { auto x = a.front(); a.pop_front(); return x; }
template <class T> T pop_back(deque<T> &a) { auto x = a.back(); a.pop_back(); return x; }
template <class T> T pop_front(set<T> &a) { auto x = *a.begin(); a.erase(a.begin()); return x; }
template <class T> T pop_back(set<T> &a) { auto it = prev(a.end()); auto x = *it; a.erase(it); return x; }
template <class T> T pop_front(multiset<T> &a) { auto it = a.begin(); auto x = *it; a.erase(it); return x; }
template <class T> T pop_back(multiset<T> &a) { auto it = prev(a.end()); auto x = *it; a.erase(it); return x; }
// <<<
// >>> bipartite matching
template <class E> struct csr {
    vector<int32_t> start;
    vector<E> edges;
    csr() : start(1) { }
    template <class Int>
    csr(int n, vector<pair<Int, E>> const& es) : start(n+1), edges(es.size()) {
        for (auto const& [x, y] : es) start[x+1]++;
        rep (i, n) start[i+1] += start[i];
        auto pos = start;
        for (auto const& [x, y] : es) edges[pos[x]++] = y;
    }
    struct range {
        using It = typename vector<int32_t>::iterator;
        It l, r;
        It begin() { return l; }
        It end() { return r; }
    };
    range operator[](int i) {
        auto l = edges.begin() + start[i];
        auto r = edges.begin() + start[i+1];
        return { l, r };
    }
};

struct BMatching {
    int L = 0, R = 0, match = -1;
    vector<int32_t> p, q, prev, root;
    vector<pair<int32_t, int32_t>> es;
    csr<int32_t> g;
    BMatching() {}
    BMatching(int L, int R) : L(L), R(R), p(L, -1), q(R, -1), prev(L, -1), root(L, -1) {}
    void add_edge(int x, int y) {
        assert(0 <= x and x < L);
        assert(0 <= y and y < R);
        es.emplace_back(x, y);
    }
    int run() {
        match = 0;
        g = csr<int32_t>(L, es);
        queue<int> que;
        while (true) {
            rep (x, L) if (p[x] < 0) root[x] = x, que.push(x);
            int add = 0;
            while (que.size()) {
                auto x = que.front(); que.pop();
                auto rx = root[x];
                if (p[rx] >= 0) continue;
                for (auto y : g[x]) {
                    auto nx = q[y];
                    if (nx < 0) {
                        do q[y] = x, swap(p[x], y), x = prev[x]; while (x >= 0);
                        add++;
                        break;
                    }
                    if (prev[nx] < 0) prev[nx] = x, root[nx] = rx, que.push(nx);
                }
            }
            if (add == 0) return match;
            match += add;
            fill(prev.begin(), prev.end(), -1);
            fill(root.begin(), root.end(), -1);
        }
    }
    vector<int> vcover() const {
        vector<int> ret(L+R);
        rep (x, L) {
            ret[x] = (root[x] < 0);
            ret[L+p[x]] = (prev[x] >= 0);
        }
        return ret;
    }
};
// <<<

int32_t main() {
    int L, R, K, m; cin >> L >> R >> K >> m;
    vector<tuple<int, int, int>> es;
    rep (i, m) {
        int x, y, z; cin >> x >> y >> z; --x, --y;
        es.eb(x, y, 1LL<<z);
    }

    int ans = 0;
    repR (k, K+1) {
        BMatching bm(L, R);
        for (auto [x, y, w] : es) {
            if (w == (1LL<<k)) {
                bm.add_edge(x, y);
            }
        }
        int d = (k == 0 ? 1 : 1LL<<(k-1));
        ans += d * bm.run();

        auto vcover = bm.vcover();
        for (auto &[x, y, w] : es) {
            w -= d * (vcover[x] + vcover[L+y]);
        }
    }
    cout << ans << '\n';
}

yukicoder

結果

テストケース

ソースコード