#185588 (C++14) No.541 3 x N グリッド上のサイクルの個数

提出ソース

結果

問題	No.541 3 x N グリッド上のサイクルの個数
ユーザー	しらっ亭
提出日時	2017-07-01 03:02:41
言語	C++14 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	3 ms / 2,000 ms
コード長	7,334 bytes
コンパイル時間	1,784 ms
コンパイル使用メモリ	177,184 KB
実行使用メモリ	6,820 KB
最終ジャッジ日時	2024-10-05 02:56:48
合計ジャッジ時間	3,456 ms
ジャッジサーバーID （参考情報）	judge1 / 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	2 ms 6,816 KB
testcase_02	AC	2 ms 6,820 KB
testcase_03	AC	2 ms 6,816 KB
testcase_04	AC	2 ms 6,816 KB
testcase_05	AC	2 ms 6,816 KB
testcase_06	AC	2 ms 6,820 KB
testcase_07	AC	2 ms 6,816 KB
testcase_08	AC	2 ms 6,816 KB
testcase_09	AC	2 ms 6,820 KB
testcase_10	AC	2 ms 6,820 KB
testcase_11	AC	2 ms 6,816 KB
testcase_12	AC	2 ms 6,816 KB
testcase_13	AC	2 ms 6,820 KB
testcase_14	AC	2 ms 6,816 KB
testcase_15	AC	2 ms 6,816 KB
testcase_16	AC	2 ms 6,816 KB
testcase_17	AC	2 ms 6,820 KB
testcase_18	AC	2 ms 6,816 KB
testcase_19	AC	2 ms 6,816 KB
testcase_20	AC	2 ms 6,820 KB
testcase_21	AC	2 ms 6,820 KB
testcase_22	AC	2 ms 6,820 KB
testcase_23	AC	2 ms 6,816 KB
testcase_24	AC	2 ms 6,816 KB
testcase_25	AC	2 ms 6,816 KB
testcase_26	AC	2 ms 6,820 KB
testcase_27	AC	2 ms 6,816 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 6,820 KB
testcase_32	AC	2 ms 6,816 KB
testcase_33	AC	2 ms 6,816 KB
testcase_34	AC	2 ms 6,820 KB
testcase_35	AC	2 ms 6,816 KB
testcase_36	AC	2 ms 6,820 KB
testcase_37	AC	2 ms 6,816 KB
testcase_38	AC	2 ms 6,816 KB
testcase_39	AC	2 ms 6,816 KB
testcase_40	AC	2 ms 6,816 KB
testcase_41	AC	2 ms 6,820 KB
testcase_42	AC	2 ms 6,820 KB
testcase_43	AC	2 ms 6,820 KB
testcase_44	AC	2 ms 6,816 KB
testcase_45	AC	2 ms 6,816 KB
testcase_46	AC	2 ms 6,816 KB
testcase_47	AC	2 ms 6,816 KB
testcase_48	AC	2 ms 6,820 KB
testcase_49	AC	3 ms 6,816 KB
testcase_50	AC	2 ms 6,820 KB
testcase_51	AC	2 ms 6,820 KB
testcase_52	AC	2 ms 6,820 KB
testcase_53	AC	2 ms 6,820 KB
testcase_54	AC	2 ms 6,816 KB
testcase_55	AC	2 ms 6,816 KB
testcase_56	AC	3 ms 6,820 KB
testcase_57	AC	2 ms 6,820 KB
testcase_58	AC	2 ms 6,816 KB
testcase_59	AC	2 ms 6,816 KB
testcase_60	AC	2 ms 6,816 KB
testcase_61	AC	2 ms 6,816 KB

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ソースコード

raw source code

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

#define _p(...) (void)printf(__VA_ARGS__)
#define forr(x,arr) for(auto&& x:arr)
#define _overload3(_1,_2,_3,name,...) name
#define _rep2(i,n) _rep3(i,0,n)
#define _rep3(i,a,b) for(int i=int(a);i<int(b);++i)
#define rep(...) _overload3(__VA_ARGS__,_rep3,_rep2,)(__VA_ARGS__)
#define _rrep2(i,n) _rrep3(i,0,n)
#define _rrep3(i,a,b) for(int i=int(b)-1;i>=int(a);i--)
#define rrep(...) _overload3(__VA_ARGS__,_rrep3,_rrep2,)(__VA_ARGS__)
#define all(x) (x).begin(),(x).end()
#define bit(n) (1LL<<(n))
#define sz(x) ((int)(x).size())
#define TEN(n) ((ll)(1e##n))
#define fst first
#define snd second

string DBG_DLM(int &i){return(i++==0?"":", ");}
#define DBG_B(exp){int i=0;os<<"{";{exp;}os<<"}";return os;}
template<class T>ostream&operator<<(ostream&os,vector<T>v);
template<class T>ostream&operator<<(ostream&os,set<T>v);
template<class T>ostream&operator<<(ostream&os,queue<T>q);
template<class T>ostream&operator<<(ostream&os,priority_queue<T>q);
template<class T,class K>ostream&operator<<(ostream&os,pair<T,K>p);
template<class T,class K>ostream&operator<<(ostream&os,map<T,K>mp);
template<class T,class K>ostream&operator<<(ostream&os,unordered_map<T,K>mp);
template<int I,class TPL>void DBG(ostream&os,TPL t){}
template<int I,class TPL,class H,class...Ts>void DBG(ostream&os,TPL t){os<<(I==0?"":", ")<<get<I>(t);DBG<I+1,TPL,Ts...>(os,t);}
template<class T,class K>void DBG(ostream&os,pair<T,K>p,string delim){os<<"("<<p.first<<delim<<p.second<<")";}
template<class...Ts>ostream&operator<<(ostream&os,tuple<Ts...>t){os<<"(";DBG<0,tuple<Ts...>,Ts...>(os,t);os<<")";return os;}
template<class T,class K>ostream&operator<<(ostream&os,pair<T,K>p){DBG(os,p,", ");return os;}
template<class T>ostream&operator<<(ostream&os,vector<T>v){DBG_B(forr(t,v){os<<DBG_DLM(i)<<t;});}
template<class T>ostream&operator<<(ostream&os,set<T>s){DBG_B(forr(t,s){os<<DBG_DLM(i)<<t;});}
template<class T>ostream&operator<<(ostream&os,queue<T>q){DBG_B(for(;q.size();q.pop()){os<<DBG_DLM(i)<<q.front();});}
template<class T>ostream&operator<<(ostream&os,priority_queue<T>q){DBG_B(for(;q.size();q.pop()){os<<DBG_DLM(i)<<q.top();});}
template<class T,class K>ostream&operator<<(ostream&os,map<T,K>m){DBG_B(forr(p,m){os<<DBG_DLM(i);DBG(os,p,"->");});}
template<class T,class K>ostream&operator<<(ostream&os,unordered_map<T,K>m){DBG_B(forr(p,m){os<<DBG_DLM(i);DBG(os,p,"->");});}
#define DBG_OVERLOAD(_1,_2,_3,_4,_5,_6,macro_name,...)macro_name
#define DBG_LINE(){char s[99];sprintf(s,"line:%3d | ",__LINE__);cerr<<s;}
#define DBG_OUTPUT(v){cerr<<(#v)<<"="<<(v);}
#define DBG1(v,...){DBG_OUTPUT(v);}
#define DBG2(v,...){DBG_OUTPUT(v);cerr<<", ";DBG1(__VA_ARGS__);}
#define DBG3(v,...){DBG_OUTPUT(v);cerr<<", ";DBG2(__VA_ARGS__);}
#define DBG4(v,...){DBG_OUTPUT(v);cerr<<", ";DBG3(__VA_ARGS__);}
#define DBG5(v,...){DBG_OUTPUT(v);cerr<<", ";DBG4(__VA_ARGS__);}
#define DBG6(v,...){DBG_OUTPUT(v);cerr<<", ";DBG5(__VA_ARGS__);}
#define DEBUG0(){DBG_LINE();cerr<<endl;}
#ifdef LOCAL
#define out(...){DBG_LINE();DBG_OVERLOAD(__VA_ARGS__,DBG6,DBG5,DBG4,DBG3,DBG2,DBG1)(__VA_ARGS__);cerr<<endl;}
#else
#define out(...)
#endif

using ll=long long;
using pii=pair<int,int>;using pll=pair<ll,ll>;using pil=pair<int,ll>;using pli=pair<ll,int>;
using vs=vector<string>;using vvs=vector<vs>;using vvvs=vector<vvs>;
using vb=vector<bool>;using vvb=vector<vb>;using vvvb=vector<vvb>;
using vi=vector<int>;using vvi=vector<vi>;using vvvi=vector<vvi>;
using vl=vector<ll>;using vvl=vector<vl>;using vvvl=vector<vvl>;
using vd=vector<double>;using vvd=vector<vd>;using vvvd=vector<vvd>;
using vpii=vector<pii>;using vvpii=vector<vpii>;using vvvpii=vector<vvpii>;
template<class T>bool amax(T&a,const T&b){return a<b?a=b,1:0;}
template<class T>bool amin(T&a,const T&b){return a>b?a=b,1:0;}
ll ri(){ll l;cin>>l;return l;} string rs(){string s;cin>>s;return s;}

const int mod = 1e9+7;
template<int MOD>
struct Mint {
  int x;
  Mint() : x(0) {}
  Mint(int y) : x(y >= 0 ? y % MOD : MOD - (-y) % MOD) {}
  Mint(signed long long sll) : x(sll % MOD) { if (x < 0) x += MOD; }
  Mint &operator+=(const Mint &rhs){ if((x += rhs.x) >= MOD) x -= MOD; return *this; }
  Mint &operator-=(const Mint &rhs){ if((x += MOD - rhs.x) >= MOD) x -= MOD; return *this; }
  Mint &operator*=(const Mint &rhs){ x = 1LL*x*rhs.x % MOD; return *this; }
  Mint &operator/=(const Mint &rhs){ x = (1LL*x*rhs.inv().x) % MOD; return *this; }
  Mint operator-() const { return Mint(-x); }
  Mint operator+(const Mint &rhs) const { return Mint(*this) += rhs; }
  Mint operator-(const Mint &rhs) const { return Mint(*this) -= rhs; }
  Mint operator*(const Mint &rhs) const { return Mint(*this) *= rhs; }
  Mint operator/(const Mint &rhs) const { return Mint(*this) /= rhs; }
  bool operator<(const Mint &rhs) const { return x < rhs.x; }
  Mint inv() const {
    signed a = x, b = MOD, u = 1, v = 0, t;
    while(b){ t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); }
    return Mint(u);
  }
  Mint operator^(unsigned long long t) const {
    Mint e = *this, res = 1;
    for(; t; e *= e, t>>=1) if (t & 1) res *= e;
    return res;
  }
};
template<int MOD> ostream &operator<<(ostream &os, const Mint<MOD> &rhs) { return os << rhs.x; }
template<int MOD> istream &operator>>(istream &is, Mint<MOD> &rhs) { long long s; is >> s; rhs = Mint<MOD>(s); return is; };

using mint = Mint<mod>;
using vm=vector<mint>;using vvm=vector<vm>;using vvvm=vector<vvm>;

template<typename T, int N>
struct matrix_ {
  array<T, N*N> val;

  matrix_(vector<vector<T>> ini) {
    for (int i = 0; i < N; i++) for (int j = 0; j < N; j++)
      val[i * N + j] = ini[i][j];
  }

  // d=0: zero matrix, d=1: identity matrix
  matrix_(int d = 0) {
    for (int i = 0; i < N; i++) for (int j = 0; j < N; j++)
      val[i * N + j] = T((i == j) * d);
  }

  matrix_ operator+(const matrix_ &x) const {
    matrix_ ret;
    for (int i = 0; i < N; i++) for (int j = 0; j < N; j++) {
      ret.val[i * N + j] = val[i * N + j] + x.val[i * N + j];
    }
    return ret;
  }

  matrix_ operator*(const matrix_ &x) const {
    matrix_ ret;
    for (int i = 0; i < N; i++) for (int k = 0; k < N; k++) for (int j = 0; j < N; j++) {
      ret.val[i * N + j] += val[i * N + k] * x.val[k * N + j];
    }
    return ret;
  }

  matrix_ operator^(unsigned long long p) const {
    matrix_ ret(1);
    matrix_ x(*this);
    while (p) {
      if (p & 1) ret = ret * x;
      x = x * x;
      p >>= 1;
    }
    return ret;
  }

  T& at(int row, int col) {
    return val[row * N + col];
  }
};
using Mat = matrix_<mint, 10>;

mint solve(ll n) {
  Mat ini;

  vvi a = {
    {1, 0, 0, 0, 0, 0, 0, 0, 0, 0},
    {1, 1, 0, 0, 1, 0, 1, 0, 1, 0},
    {1, 0, 1, 0, 1, 1, 1, 0, 0, 0},
    {1, 0, 0, 1, 0, 1, 1, 0, 1, 0},
    {1, 1, 1, 0, 1, 1, 1, 0, 0, 0},
    {1, 0, 1, 1, 1, 1, 1, 0, 0, 0},
    {1, 1, 1, 1, 1, 1, 1, 1, 0, 0},
    {1, 1, 0, 1, 0, 0, 0, 1, 0, 0},
    {0, 0, 0, 0, 0, 0, 1, 0, 1, 0},
    {0, 1, 1, 1, 1, 1, 1, 0, 1, 1},
  };

  rep(i, 10) rep(j, 10) ini.at(i, j) = a[i][j];

  rep(i, 10) out(a[i]);

  Mat res = ini ^ n;

  mint ans = 0;

  for(int i : {1, 2, 3, 4, 5, 6, 8, 9}) {
    ans += res.at(i, 0);
  }

  return ans;
}

void Main() {
  ll n = ri();

  mint ans = solve(n);

  cout << ans << endl;
}

signed main() { cin.tie(nullptr); ios::sync_with_stdio(false); Main(); return 0; }

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結果

テストケース

ソースコード