結果

問題 No.140 みんなで旅行
ユーザー maimai
提出日時 2018-09-27 11:14:05
言語 C++17
(gcc 13.2.0 + boost 1.83.0)
結果
AC  
実行時間 100 ms / 5,000 ms
コード長 7,017 bytes
コンパイル時間 2,726 ms
コンパイル使用メモリ 209,936 KB
実行使用メモリ 6,528 KB
最終ジャッジ日時 2024-04-20 09:03:27
合計ジャッジ時間 4,235 ms
ジャッジサーバーID
（参考情報） 		judge4 / judge2
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
5,376 KB
testcase_02 AC 7 ms
5,376 KB
testcase_03 AC 2 ms
5,376 KB
testcase_04 AC 2 ms
5,376 KB
testcase_05 AC 2 ms
5,376 KB
testcase_06 AC 2 ms
5,376 KB
testcase_07 AC 2 ms
5,376 KB
testcase_08 AC 2 ms
5,376 KB
testcase_09 AC 2 ms
5,376 KB
testcase_10 AC 2 ms
5,376 KB
testcase_11 AC 98 ms
6,400 KB
testcase_12 AC 5 ms
5,376 KB
testcase_13 AC 3 ms
5,376 KB
testcase_14 AC 100 ms
6,528 KB
testcase_15 AC 97 ms
6,528 KB
testcase_16 AC 40 ms
5,376 KB
testcase_17 AC 20 ms
5,376 KB
testcase_18 AC 77 ms
6,144 KB
testcase_19 AC 83 ms
6,272 KB
testcase_20 AC 17 ms
5,376 KB
testcase_21 AC 2 ms
5,376 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 # 

#pragma GCC optimize ("O3")
#include "bits/stdc++.h"

using namespace std;
using ll = long long int;

#define debugos cout
#define debug(v) {printf("L%d %s > ",__LINE__,#v);debugos<<(v)<<endl;}
#define debugv(v) {printf("L%d %s > ",__LINE__,#v);for(auto e:(v)){debugos<<e<<" ";}debugos<<endl;}
#define debuga(m,w) {printf("L%d %s > ",__LINE__,#m);for(int x=0;x<(w);x++){debugos<<(m)[x]<<" ";}debugos<<endl;}
#define debugaa(m,h,w) {printf("L%d %s >\n",__LINE__,#m);for(int y=0;y<(h);y++){for(int x=0;x<(w);x++){debugos<<(m)[y][x]<<" ";}debugos<<endl;}}
#define ALL(v) (v).begin(),(v).end()
#define repeat(cnt,l) for(remove_reference<remove_const<decltype(l)>::type>::type cnt=0;(cnt)<(l);++(cnt))
#define rrepeat(cnt,l) for(auto cnt=(l)-1;0<=(cnt);--(cnt))
#define iterate(cnt,b,e) for(auto cnt=(b);(cnt)!=(e);++(cnt))
#define diterate(cnt,b,e) for(auto cnt=(b);(cnt)!=(e);--(cnt))
const ll MD = 1000000007ll; const long double PI = 3.1415926535897932384626433832795L;
inline void assert_call(bool assertion, function<void()> f) { if (!assertion) { cerr << "assertion fault:" << endl; f(); abort(); } }
template<typename T1, typename T2> inline ostream& operator <<(ostream &o, const pair<T1, T2> p) { o << '(' << p.first << ':' << p.second << ')'; return o; }
template<typename Vec> inline ostream& _ostream_vecprint(ostream& os, const Vec& a) {
    os << '['; for (const auto& e : a) os << ' ' << e << ' '; os << ']'; return os;
}
template<typename T> inline ostream& operator<<(ostream& o, const vector<T>& v) { return _ostream_vecprint(o, v); }
template<typename T, size_t S> inline ostream& operator<<(ostream& o, const array<T, S>& v) { return _ostream_vecprint(o, v); }
template<typename T> inline T& maxset(T& to, const T& val) { return to = max(to, val); }
template<typename T> inline T& minset(T& to, const T& val) { return to = min(to, val); }
void bye(string s, int code = 0) { cout << s << endl; exit(code); }
mt19937_64 randdev(8901016);
template<typename T> inline T rand(T l, T h) { return uniform_int_distribution<T>(l, h)(randdev); }
template<> inline double rand<double>(double l, double h) { return uniform_real_distribution<double>(l, h)(randdev); }
template<> inline float rand<float>(float l, float h) { return uniform_real_distribution<float>(l, h)(randdev); }

#if defined(_WIN32) || defined(_WIN64)
#define getchar_unlocked _getchar_nolock
#define putchar_unlocked _putchar_nolock
#elif defined(__GNUC__)
#else
#define getchar_unlocked getchar
#define putchar_unlocked putchar
#endif
namespace {
#define isvisiblechar(c) (0x21<=(c)&&(c)<=0x7E)
    class MaiScanner {
    public:
        template<typename T> void input_integer(T& var) noexcept {
            var = 0; T sign = 1;
            int cc = getchar_unlocked();
            for (; cc < '0' || '9' < cc; cc = getchar_unlocked())
                if (cc == '-') sign = -1;
            for (; '0' <= cc && cc <= '9'; cc = getchar_unlocked())
                var = (var << 3) + (var << 1) + cc - '0';
            var = var * sign;
        }
        inline int c() noexcept { return getchar_unlocked(); }
        inline MaiScanner& operator>>(int& var) noexcept { input_integer<int>(var); return *this; }
        inline MaiScanner& operator>>(long long& var) noexcept { input_integer<long long>(var); return *this; }
        inline MaiScanner& operator>>(string& var) {
            int cc = getchar_unlocked();
            for (; !isvisiblechar(cc); cc = getchar_unlocked());
            for (; isvisiblechar(cc); cc = getchar_unlocked())
                var.push_back(cc);
            return *this;
        }
        template<typename IT> void in(IT begin, IT end) { for (auto it = begin; it != end; ++it) *this >> *it; }
    };
    class MaiPrinter {
    public:
        template<typename T>
        void output_integer(T var) noexcept {
            if (var == 0) { putchar_unlocked('0'); return; }
            if (var < 0)
                putchar_unlocked('-'),
                var = -var;
            char stack[32]; int stack_p = 0;
            while (var)
                stack[stack_p++] = '0' + (var % 10),
                var /= 10;
            while (stack_p)
                putchar_unlocked(stack[--stack_p]);
        }
        inline MaiPrinter& operator<<(char c) noexcept { putchar_unlocked(c); return *this; }
        inline MaiPrinter& operator<<(int var) noexcept { output_integer<int>(var); return *this; }
        inline MaiPrinter& operator<<(long long var) noexcept { output_integer<long long>(var); return *this; }
        inline MaiPrinter& operator<<(char* str_p) noexcept { while (*str_p) putchar_unlocked(*(str_p++)); return *this; }
        inline MaiPrinter& operator<<(const string& str) {
            const char* p = str.c_str();
            const char* l = p + str.size();
            while (p < l) putchar_unlocked(*p++);
            return *this;
        }
        template<typename IT> void join(IT begin, IT end, char sep = ' ') { for (bool b = 0; begin != end; ++begin, b = 1) b ? *this << sep << *begin : *this << *begin; }
    };
}
MaiScanner scanner;
MaiPrinter printer;



template<int MaxN, long long Mod>
class Combinatorics {
    using value_type = long long;
    value_type fact_[MaxN + 1];
    // value_type inv_[MaxN + 1]; // iranai

public:
    value_type pow(value_type x, value_type p) {
        value_type y = 1; x = x % Mod;
        for (; 0 < p; p >>= 1) {
            if (p & 1) y = y * x % Mod;
            x = x * x % Mod;
        }
        return y;
    }

    Combinatorics() :fact_() {
        fact_[0] = 1;
        fact_[1] = 1;
        for (value_type n = 2; n <= MaxN; ++n)
            fact_[n] = (fact_[n - 1] * n) % Mod;
        // inv_[Max] := calculate;
        // iterate => inv_[i] = inv_[i+1] * (i+1) % MD;
    }
    inline value_type fact(int n) const {
        return fact_[n];
    }

    inline value_type inv(value_type n) {
        return pow(n, MD - 2);
    }

    inline value_type nPr(value_type n, value_type r) {
        if (r < 0 || n < r) return 0;
        return fact_[n] * inv(fact_[n - r]) % MD;
    }
    inline value_type nCr(value_type n, value_type r) {
        if (n < r) return 0;
        return ((fact_[n] * inv(fact_[n - r]) % MD) * inv(fact_[r])) % MD;
    }
    inline value_type nHr(value_type n, value_type r) {
        if (n == 0 && r == 0) return 1;
        if (n == 0) return 0;
        return nCr(n - 1 + r, n - 1);
    }
};
Combinatorics<600, MD> comb;


ll N;

// http://kmjp.hatenablog.jp/entry/2015/01/30/0930
// [同じグループに入るペア][全体のグループの数]
ll dp[666][666];


int main() {

    scanner >> N;
    
    dp[0][0] = 1;
    iterate(i, 1ll, N+1) {
        iterate(j, 1ll, N+1) {
            dp[i][j] = (dp[i - 1][j - 1] + j * dp[i - 1][j]) % MD;
        }
    }

    ll ans = 0;
    iterate(i, 0ll, N+1) {
        iterate(j, 0ll, N+1) {
            ans += ((comb.nCr(N, i)*dp[i][j])%MD * comb.pow(j * (j - 1), N-i)) % MD;
            ans %= MD;
        }
    }

    cout << ans << endl;


    return 0;
}
0