結果

問題 No.1846 Good Binary Matrix
ユーザー sten_san
提出日時 2022-02-19 06:00:25
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 350 ms / 2,000 ms
コード長 2,855 bytes
コンパイル時間 2,504 ms
コンパイル使用メモリ 199,016 KB
最終ジャッジ日時 2025-01-28 00:58:50
ジャッジサーバーID
(参考情報)
judge4 / judge5
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ファイルパターン 結果
other AC * 35
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ソースコード

diff #

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

struct iofast_t {
    iofast_t() {
        ios::sync_with_stdio(false);
        cin.tie(nullptr);
    }
} iofast;

struct uns_t {} uns;
template <typename Element, typename Head, typename ...Args>
auto vec(Element init, Head arg, Args ...args) {
    if constexpr (sizeof...(Args) == 0) return vector(arg, init);
    else return vector(arg, vec(init, args...));
}
template <typename Element, typename Head, typename ...Args>
auto vec(uns_t, Head arg, Args ...args) {
    return vec(Element(), arg, args...);
}

template <typename Container>
auto distance(const Container &c, decltype(begin(c)) iter) {
    return distance(begin(c), iter);
}

template <typename RIter, typename Compare = less<typename iterator_traits<RIter>::value_type>>
auto isort(RIter first, RIter last, Compare comp = Compare()) {
    vector<int> i(distance(first, last));
    iota(begin(i), end(i), 0);
    sort(begin(i), end(i), [&](auto x, auto y) {
        return comp(*(first + x), *(first + y));
    });
    return i;
}

template <typename, template <typename> typename, typename = void_t<>>
struct detect : false_type {};
template <typename T, template <typename> typename Check>
struct detect<T, Check, void_t<Check<T>>> : true_type {};
template <typename T, template <typename> typename Check>
constexpr inline bool detect_v = detect<T, Check>::value;

template <typename T>
using has_member_sort = decltype(declval<T>().sort());

template <typename Container, typename Compare = less<typename Container::value_type>>
auto sorted(Container c, Compare comp = Compare()) {
    if constexpr (detect_v<Container, has_member_sort>) {
        c.sort(comp);
        return c;
    }
    else {
        sort(begin(c), end(c), comp);
        return c;
    }
}

template <typename Container, typename Compare = equal_to<typename Container::value_type>>
auto uniqued(Container c, Compare comp = Compare()) {
    c.erase(unique(begin(c), end(c), comp), end(c));
    return c;
}

template <typename T, typename Compare = less<T>>
T &chmin(T &l, T r, Compare &&f = less<T>()) { return l = min(l, r, f); }
template <typename T, typename Compare = less<T>>
T &chmax(T &l, T r, Compare &&f = less<T>()) { return l = max(l, r, f); }

#include <atcoder/modint>
using mint = atcoder::modint1000000007;

int main() {
    int h, w; cin >> h >> w;

    auto f = vec<mint>(uns, w + 1);
    auto g = vec<mint>(uns, w + 1);

    f[0] = g[0] = 1;
    for (int i = 1; i <= w; ++i) {
        f[i] = f[i - 1] * i;
        g[i] = 1 / f[i];
    }

    auto comb = [&](int n, int r) {
        return f[n] * g[r] * g[n - r];
    };

    mint ans = 0;
    for (int i = 1; i <= w; ++i) {
        int sign = (i % 2) * 2 - 1;

        ans += sign * comb(w, i) * (mint(2).pow(w - i) - 1).pow(h);
    }

    cout << ((mint(2).pow(w) - 1).pow(h) - ans).val() << endl;
}

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