#854023 (C++17) No.1846 Good Binary Matrix

• 問題: No.1846 Good Binary Matrix
• ユーザー: noya2
• 提出日時: 2023-03-30 22:31:21
• 言語: C++17 (gcc 12.3.0 + boost 1.83.0)
• 結果: AC
• 実行時間: 122 ms / 2,000 ms
• コード長: 5,926 bytes
• コンパイル時間: 4,515 ms
• コンパイル使用メモリ: 271,864 KB
• 実行使用メモリ: 18,920 KB
• 最終ジャッジ日時: 2024-09-22 07:26:25
• 合計ジャッジ時間: 7,000 ms
• ジャッジサーバーID （参考情報）: judge5 / judge1

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	10 ms; 7,268 KB
testcase_01	AC	10 ms; 7,268 KB
testcase_02	AC	9 ms; 7,272 KB
testcase_03	AC	10 ms; 7,268 KB
testcase_04	AC	10 ms; 7,240 KB
testcase_05	AC	9 ms; 7,264 KB
testcase_06	AC	10 ms; 7,136 KB
testcase_07	AC	10 ms; 7,140 KB
testcase_08	AC	10 ms; 7,268 KB
testcase_09	AC	10 ms; 7,268 KB
testcase_10	AC	10 ms; 7,268 KB
testcase_11	AC	10 ms; 7,192 KB
testcase_12	AC	10 ms; 7,264 KB
testcase_13	AC	9 ms; 7,268 KB
testcase_14	AC	10 ms; 7,268 KB
testcase_15	AC	10 ms; 7,268 KB
testcase_16	AC	122 ms; 18,792 KB
testcase_17	AC	121 ms; 18,788 KB
testcase_18	AC	119 ms; 18,792 KB
testcase_19	AC	118 ms; 18,916 KB
testcase_20	AC	122 ms; 18,792 KB
testcase_21	AC	26 ms; 11,232 KB
testcase_22	AC	26 ms; 11,112 KB
testcase_23	AC	10 ms; 7,268 KB
testcase_24	AC	10 ms; 7,136 KB
testcase_25	AC	83 ms; 11,108 KB
testcase_26	AC	59 ms; 11,104 KB
testcase_27	AC	12 ms; 7,264 KB
testcase_28	AC	20 ms; 7,264 KB
testcase_29	AC	37 ms; 7,264 KB
testcase_30	AC	98 ms; 18,792 KB
testcase_31	AC	75 ms; 11,104 KB
testcase_32	AC	106 ms; 18,920 KB
testcase_33	AC	107 ms; 18,788 KB
testcase_34	AC	10 ms; 7,264 KB

ソースコード

#line 1 "c.cpp"
#include<bits/stdc++.h>
#include<atcoder/all>
#define rep(i,n) for (int i = 0; i < int(n); ++i)
#define repp(i,n,m) for (int i = m; i < int(n); ++i)
#define reb(i,n) for (int i = int(n)-1; i >= 0; --i)
#define all(v) v.begin(),v.end()
using namespace std;
using namespace atcoder;
using ll = long long;
using ull = unsigned long long;
using ld = long double;
using P = pair<int, int>;
using PL = pair<long long, long long>;
using pdd = pair<long double, long double>;
using pil = pair<int,ll>;
using pli = pair<ll,int>;
template<class T>istream &operator>>(istream &is,vector<T> &v){for(auto &e:v)is>>e;return is;}
template<typename T>bool range(T a,T b,T x){return (a<=x&&x<b);}
template<typename T>bool rrange(T a,T b,T c,T d,T x,T y){return (range(a,c,x)&&range(b,d,y));}
template<typename T> T rev(const T& str_or_vec){T res = str_or_vec; reverse(res.begin(),res.end()); return res; }
template<typename T>bool chmin(T &a,const T &b){if(a>b){a=b;return true;}return false;}
template<typename T>bool chmax(T &a,const T &b){if(a<b){a=b;return true;}return false;}
template<typename T>void uniq(vector<T> &v){sort(v.begin(),v.end());v.erase(unique(v.begin(),v.end()),v.end());}
template<typename T1, typename T2>void print(pair<T1,T2> a);
template<typename T>void print(vector<T> v);
template<typename T>void print(vector<vector<T>> v);
void print(){ putchar(' '); }
void print(bool a){ printf("%d", a); }
void print(int a){ printf("%d", a); }
void print(long a){ printf("%ld", a); }
void print(long long a){ printf("%lld", a); }
void print(char a){ printf("%c", a); }
void print(char a[]){ printf("%s", a); }
void print(const char a[]){ printf("%s", a); }
void print(long double a){ printf("%.15Lf", a); }
void print(const string& a){ for(auto&& i : a) print(i); }
void print(unsigned int a){ printf("%u", a); }
void print(unsigned long long a) { printf("%llu", a); }
template<class T> void print(const T& a){ cout << a; }
int out(){ putchar('\n'); return 0; }
template<class T> int out(const T& t){ print(t); putchar('\n'); return 0; }
template<class Head, class... Tail> int out(const Head& head, const Tail&... tail){ print(head); putchar(' '); out(tail...); return 0; }
template<typename T1,typename T2>void print(pair<T1,T2> a){print(a.first);print(),print(a.second);}
template<typename T>void print(vector<T> v){for(auto ite=v.begin();ite!=v.end();){print(*ite);if(++ite!=v.end())print();}}
template<typename T>void print(vector<vector<T>> v){for(auto ite=v.begin();ite!=v.end();){print(*ite);if(++ite!=v.end())out();}}
void yes(){out("Yes");}
void no (){out("No");}
void yn (bool t){if(t)yes();else no();}
void fast_io(){cin.tie(0); ios::sync_with_stdio(0); cout<<fixed<<setprecision(20);}
void o(){out("!?");}

namespace noya2{

const int INF = 1001001007;
const long long mod1 = 998244353;
const long long mod2 = 1000000007;
const long long inf = 2e18;
const long double pi = 3.14159265358979323;
const long double eps = 1e-7;
const vector<int> dx = {0,1,0,-1,1,1,-1,-1};
const vector<int> dy = {1,0,-1,0,1,-1,-1,1};
const string ALP = "ABCDEFGHIJKLMNOPQRSTUVWXYZ";
const string alp = "abcdefghijklmnopqrstuvwxyz";
const string NUM = "0123456789";

} // namespace noya2
using namespace noya2;

//using mint = modint998244353;
using mint = modint1000000007;
//using mint = modint;
void out(mint a){out(a.val());}
void out(vector<mint> a){vector<ll> b(a.size()); rep(i,a.size()) b[i] = a[i].val(); out(b);}
void out(vector<vector<mint>> a){for (auto v : a) out(v);}
istream &operator>>(istream &is,vector<mint> &v){for(auto &e:v){ll _x;is>>_x;e=_x;}return is;}

#line 2 "binom.hpp"

#line 4 "binom.hpp"

namespace noya2{

template<typename T>
struct Binom{
    Binom(int lim = 300000){ extend(lim); }
    static T fact(int x) {
        if (x < 0) return T(0);
        extend(x);
        return kaijo[x];
    }
    static T ifact(int x){
        if (x < 0) return T(0);
        extend(x);
        return kainv[x];
    }
    static T C(int n, int r){
        if (n < 0 || n < r || r < 0) return T(0);
        extend(n);
        return kaijo[n] * kainv[r] * kainv[n-r];
    }
    static T P(int n, int r){
        if (n < 0 || n < r || r < 0) return T(0);
        extend(n);
        return kaijo[n] * kainv[n-r];
    }
    static T H(int n, int r){
        if (n < 0 || r < 0) return T(0);
        return (r == 0 ? T(1) : C(n+r-1,r-1));
    }
    T operator()(int n, int r){ return C(n,r); }
    template<class... Cnts> static T M(const Cnts&... cnts){
        return multinomial(0,T(1),cnts...);
    }
  private:
    static T multinomial(const int& sum, const T& div_prod){
        if (sum < 0) return T(0);
        return fact(sum) * div_prod;
    }
    template<class... Tail> static T multinomial(const int& sum, const T& div_prod, const int& n1, const Tail&... tail){
        if (n1 < 0) return T(0);
        return multinomial(sum+n1,div_prod*ifact(n1),tail...);
    }
    static std::vector<T> kaijo, kainv;
    static void extend(int lim){
        if (kaijo.empty()){
            kaijo = {1,1};
            kainv = {1,1};
        }
        int siz = kaijo.size();
        if (siz > lim) return ;
        int nsiz = siz * 2;
        kaijo.resize(nsiz+1), kainv.resize(nsiz+1);
        for (int i = siz; i <= nsiz; i++) kaijo[i] = kaijo[i-1] * T(i);
        kainv[nsiz] = kaijo[nsiz].inv();
        for (int i = nsiz-1; i >= siz; i--) kainv[i] = kainv[i+1] * T(i+1);
        extend(lim);
    }
};
template<typename T>
std::vector<T>Binom<T>::kaijo = vector<T>(2,T(1));
template<typename T>
std::vector<T>Binom<T>::kainv = vector<T>(2,T(1));

} // namespace noya2
#line 78 "c.cpp"

void solve(){
    Binom<mint> bnm;
    int h, w; cin >> h >> w;
    mint ans = 0;
    mint ni = 1;
    for (int i = h; i >= 0; i--){
        ans += bnm(h,i) * (ni-1).pow(w) * (i % 2 == 0 ? 1 : -1);
        ni *= 2;
    }
    out(ans);
}

int main(){
    fast_io();
    int t = 1; //cin >> t;
    while(t--) solve();
}