結果

問題 No.243 出席番号(2)
ユーザー yukinon0808yukinon0808
提出日時 2020-04-14 17:26:01
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 160 ms / 2,000 ms
コード長 6,870 bytes
コンパイル時間 1,850 ms
コンパイル使用メモリ 182,372 KB
実行使用メモリ 6,820 KB
最終ジャッジ日時 2024-10-01 17:18:20
合計ジャッジ時間 3,518 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge5
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
6,816 KB
testcase_01 AC 1 ms
6,816 KB
testcase_02 AC 2 ms
6,820 KB
testcase_03 AC 5 ms
6,816 KB
testcase_04 AC 3 ms
6,820 KB
testcase_05 AC 3 ms
6,820 KB
testcase_06 AC 2 ms
6,820 KB
testcase_07 AC 4 ms
6,820 KB
testcase_08 AC 12 ms
6,820 KB
testcase_09 AC 6 ms
6,816 KB
testcase_10 AC 3 ms
6,820 KB
testcase_11 AC 3 ms
6,816 KB
testcase_12 AC 15 ms
6,820 KB
testcase_13 AC 27 ms
6,820 KB
testcase_14 AC 10 ms
6,816 KB
testcase_15 AC 6 ms
6,816 KB
testcase_16 AC 4 ms
6,816 KB
testcase_17 AC 41 ms
6,816 KB
testcase_18 AC 46 ms
6,820 KB
testcase_19 AC 17 ms
6,816 KB
testcase_20 AC 9 ms
6,816 KB
testcase_21 AC 6 ms
6,816 KB
testcase_22 AC 87 ms
6,816 KB
testcase_23 AC 72 ms
6,816 KB
testcase_24 AC 25 ms
6,820 KB
testcase_25 AC 12 ms
6,820 KB
testcase_26 AC 7 ms
6,816 KB
testcase_27 AC 160 ms
6,820 KB
testcase_28 AC 2 ms
6,816 KB
testcase_29 AC 2 ms
6,816 KB
testcase_30 AC 2 ms
6,820 KB
testcase_31 AC 2 ms
6,816 KB
testcase_32 AC 2 ms
6,820 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>
using namespace std;

template<class T>
bool chmax(T& a, const T& b) {
    if (a < b) { a = b; return true; }
    return false;
}
template<class T>
bool chmin(T& a, const T& b) {
    if (b < a) { a = b; return true; }
    return false;
}

// std::vector Declaration
template<typename T>
vector<T> make_v(size_t a) { return vector<T>(a); }
template<typename T, typename... Ts>
auto make_v(size_t a, Ts... ts) {
    return vector<decltype(make_v<T>(ts...))>(a, make_v<T>(ts...));
}

// std::vector Declaration and Initialization
template<typename T>
vector<T> make_vector(size_t a, T x) { return vector<T>(a, x); }
template<typename T, typename U, typename... Ts>
auto make_vector(size_t a, U b, Ts... ts) {
    return vector<decltype(make_vector<T>(b,ts...))>(a, make_vector<T>(b, ts...));
}

// std::vector Input
template<typename T>
istream& operator>>(istream& is, vector<T>& v) {
    for (auto &e : v) is >> e;
    return is;
}

// std::vector Debug
template<typename T>
ostream& operator<<(ostream& os, const vector<T>& v) {
    os << "[";
    bool a = 1;
    for (auto e : v) {
        os << (a ? "" : " ");
        os << e;
        a = 0;
    }
    os << "]";
    return os;
}

// std::array Debug
template<typename T, size_t n>
ostream& operator<<(ostream& os, const array<T, n>& v) {
    os << "[";
    bool a = 1;
    for (auto e : v) {
        os << (a ? "" : " ");
        os << e;
        a = 0;
    }
    os << "]";
    return os;
}

// std::deque Debug
template<typename T>
ostream& operator<<(ostream& os, const deque<T>& d) {
    os << "[";
    bool a = 1;
    for (auto e : d) {
        os << (a ? "" : " ");
        os << e;
        a = 0;
    }
    os << "]";
    return os;
}

// std::pair Debug
template<typename T, typename U>
ostream& operator<<(ostream& os, const pair<T, U>& p) {
    os << "(" << p.first << " " << p.second << ")";
    return os;
}

// std::set Debug
template<typename T>
ostream& operator<<(ostream& os, const set<T>& st) {
    os << "{";
    bool a = 1;
    for (auto e : st) {
        os << (a ? "" : " ");
        os << e;
        a = 0;
    }
    os << "}";
    return os;
}

// std::multiset Debug
template<typename T>
ostream& operator<<(ostream& os, const multiset<T>& st) {
    os << "{";
    bool a = 1;
    for (auto e : st) {
        os << (a ? "" : " ");
        os << e;
        a = 0;
    }
    os << "}";
    return os;
}

// std::map Debug
template<typename T, typename U>
ostream& operator<<(ostream& os, const map<T, U>& mp) {
    os << "{";
    bool a = 1;
    for (auto e : mp) {
        os << (a ? "" : " ");
        os << e.first << ":" << e.second;
        a = 0;
    }
    os << "}";
    return os;
}

// std::tuple Debug
template<int N, class Tuple>
void out(ostream& os, const Tuple& t){}
template<int N, class Tuple, class H, class ...Ts>
void out(ostream& os, const Tuple& t) {
    if (N) os << " ";
    os << get<N>(t);
    out<N+1,Tuple,Ts...>(os, t);
}
template<class ...Ts>
ostream& operator<<(ostream& os, const tuple<Ts...>& t) {
    os << "(";
    out<0,tuple<Ts...>,Ts...>(os, t);
    os << ")";
    return os;
}

// Debug
#define DUMP(x) cerr<<#x<<" = "<<(x)<<endl

// Weighted edge
template<typename T>
struct edge {
    int src, to;
    T cost;

    edge() {}
    edge(int to, T cost) : src(-1), to(to), cost(cost) {}
    edge(int src, int to, T cost) : src(src), to(to), cost(cost) {}

    friend ostream& operator<<(ostream& os, const edge& e) {
        return os << "(" << e.src << "->" << e.to << ":" << e.cost << ")";
    }
};

using LL = int64_t;

#define fs first
#define sc second


template<int64_t mod>
struct modint {
    using LL = int64_t;
    LL val;
    modint(LL val=0) : val(((val % mod) + mod) % mod) {}

    const modint operator+() const { return *this; }
    const modint operator-() const { return (-val + mod) % mod; }
    const modint inv() const { return pow(mod-2); }

    modint& operator+=(const modint& rhs) {
        (val += rhs.val) %= mod;
        return *this;
    }
    modint& operator-=(const modint& rhs) {
        return *this += -rhs;
    }
    modint& operator*=(const modint& rhs) {
        (val *= rhs.val) %= mod;
        return *this;
    }
    modint& operator/=(const modint& rhs) {
        return *this *= rhs.inv();
    }

    const modint operator+(const modint& rhs) const {
        return modint(*this) += rhs;
    }
    const modint operator-(const modint& rhs) const {
        return modint(*this) -= rhs;
    }
    const modint operator*(const modint& rhs) const {
        return modint(*this) *= rhs;
    }
    const modint operator/(const modint& rhs) const {
        return modint(*this) /= rhs;
    }

    const modint pow(LL n) const {
        modint ret = 1, tmp = val;
        while (n > 0) {
            if (n & 1) ret *= tmp;
            tmp *= tmp; n >>= 1;
        }
        return ret;
    }

    bool operator==(const modint& rhs) const { return val == rhs.val; }
    bool operator!=(const modint& rhs) const { return !(*this == rhs); }

    friend const modint operator+(const LL& lhs, const modint& rhs) {
        return modint(lhs) + rhs;
    }
    friend const modint operator-(const LL& lhs, const modint& rhs) {
        return modint(lhs) - rhs;
    }
    friend const modint operator*(const LL& lhs, const modint& rhs) {
        return modint(lhs) * rhs;
    }
    friend const modint operator/(const LL& lhs, const modint& rhs) {
        return modint(lhs) / rhs;
    }

    friend bool operator==(const LL& lhs, const modint& rhs) {
        return modint(lhs) == rhs;
    }
    friend bool operator!=(const LL& lhs, const modint& rhs) {
        return modint(lhs) != rhs;
    }

    friend ostream& operator<<(ostream& os, const modint& a) {
        return os << a.val;
    }
    friend istream& operator>>(istream& is, modint& a) {
        LL tmp; is >> tmp;
        a = tmp;
        return is;
    }
};

const int64_t MOD = 1e9+7;

using Int = modint<MOD>;

int main()
{
    cin.tie(0);
    ios::sync_with_stdio(false);
    cout << fixed << setprecision(10);

    int n; cin >> n;
    map<int,LL> cnt;
    for (int i = 0; i < n; ++i) {
        int a; cin >> a;
        if (a >= n) continue;
        ++cnt[a];
    }

    vector<LL> b;
    for (const auto& tp : cnt) b.push_back(tp.second);
    int m = b.size();

    auto dp = make_v<Int>(2, n+1);
    dp[0][0] = 1;
    for (int i = 0; i < m; ++i) {
        dp[(i+1) & 1].assign(n+1, 0);
        for (int j = 0; j <= n; ++j) {
            dp[(i+1) & 1][j] += dp[i & 1][j];
            if (j < n) dp[(i+1) & 1][j+1] += dp[i & 1][j] * b[i];
        }
    }

    vector<Int> fact(n+1);
    fact[0] = 1;
    for (int i = 1; i <= n; ++i) {
        fact[i] = fact[i-1] * i;
    }

    Int ans = 0;
    for (int k = 0; k <= n; ++k) {
        ans += dp[m & 1][k] * fact[n-k] * (k & 1 ? -1 : 1);
    }

    cout << ans << endl;

    return 0;
}
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