#785994 (C++17) No.1521 Playing Musical Chairs Alone

提出ソース

結果

問題	No.1521 Playing Musical Chairs Alone
ユーザー	recososo
提出日時	2022-08-07 18:26:22
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	82 ms / 2,000 ms
コード長	8,048 bytes
コンパイル時間	6,117 ms
コンパイル使用メモリ	304,604 KB
実行使用メモリ	6,944 KB
最終ジャッジ日時	2024-09-17 11:04:15
合計ジャッジ時間	7,895 ms
ジャッジサーバーID （参考情報）	judge4 / 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 6,812 KB
testcase_01	AC	2 ms 6,816 KB
testcase_02	AC	2 ms 6,816 KB
testcase_03	AC	2 ms 6,940 KB
testcase_04	AC	2 ms 6,940 KB
testcase_05	AC	23 ms 6,944 KB
testcase_06	AC	18 ms 6,940 KB
testcase_07	AC	30 ms 6,940 KB
testcase_08	AC	5 ms 6,940 KB
testcase_09	AC	3 ms 6,944 KB
testcase_10	AC	2 ms 6,944 KB
testcase_11	AC	52 ms 6,944 KB
testcase_12	AC	2 ms 6,944 KB
testcase_13	AC	2 ms 6,944 KB
testcase_14	AC	2 ms 6,944 KB
testcase_15	AC	57 ms 6,944 KB
testcase_16	AC	67 ms 6,940 KB
testcase_17	AC	64 ms 6,940 KB
testcase_18	AC	60 ms 6,940 KB
testcase_19	AC	58 ms 6,944 KB
testcase_20	AC	66 ms 6,944 KB
testcase_21	AC	64 ms 6,944 KB
testcase_22	AC	59 ms 6,940 KB
testcase_23	AC	52 ms 6,940 KB
testcase_24	AC	59 ms 6,940 KB
testcase_25	AC	82 ms 6,940 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

raw source code

#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
#define REP(i, n) for (int i = 0; i < (n); ++i)
#define REPR(i, n) for (int i = n - 1; i >= 0; --i)
#define FOR(i, m, n) for (int i = m; i < n; ++i)
#define FORR(i, m, n) for (int i = m; i >= n; --i)
#define ALL(v) (v).begin(),(v).end()
#define ALLR(v) (v).rbegin(),(v).rend()
#define SORT(v) sort(ALL(v))
#define RSORT(v) sort(ALLR(v))
#define REV(v) reverse(ALL(v))
#define UNIQUE(x) SORT(x), x.erase(unique(ALL(x)), x.end())
#define fi first
#define se second
#define PB push_back
#define EB emplace_back
using pii = pair<int, int>;
using pll = pair<ll, ll>;
template <typename T> using vc = vector<T>;
template <typename T> using vvc = vector<vc<T>>;
template <typename T> using vvvc = vector<vvc<T>>;
using vi = vc<int>;
using vl = vc<ll>;
using vpi = vc<pii>;
using vpl = vc<pll>;

// noimi
#define INT(...) int __VA_ARGS__;IN(__VA_ARGS__)
#define LL(...) ll __VA_ARGS__;IN(__VA_ARGS__)
#define STR(...) string __VA_ARGS__;IN(__VA_ARGS__)
#define DBL(...) double __VA_ARGS__;IN(__VA_ARGS__)
#define VEC(type, name, size) vector<type> name(size);IN(name)
#define VEC2(type, name1, name2, size) vector<type> name1(size), name2(size);for(int i = 0; i < size; i++) IN(name1[i], name2[i])
#define VEC3(type, name1, name2, name3, size) vector<type> name1(size), name2(size), name3(size);for(int i = 0; i < size; i++) IN(name1[i], name2[i], name3[i])
#define VEC4(type, name1, name2, name3, name4, size) vector<type> name1(size), name2(size), name3(size), name4(size); for(int i = 0; i < size; i++) IN(name1[i], name2[i], name3[i], name4[i]);
#define VV(type, name, h, w) vector<vector<type>> name(h, vector<type>(w));IN(name)
int scan() { return getchar(); }
void scan(int &a) { cin >> a; }
void scan(long long &a) { cin >> a; }
void scan(char &a) { cin >> a; }
void scan(double &a) { cin >> a; }
void scan(string &a) { cin >> a; }
template <class T, class S> void scan(pair<T, S> &p) { scan(p.first), scan(p.second); }
template <class T> void scan(vector<T> &);
template <class T> void scan(vector<T> &a) {for(auto &i : a) scan(i);}
template <class T> void scan(T &a) { cin >> a; }
void IN() {}
template <class Head, class... Tail> void IN(Head &head, Tail &...tail) {scan(head);IN(tail...);}

// tute7627
template<typename T> using PQ = priority_queue<T>;
template<typename T> using QP = priority_queue<T,vector<T>,greater<T>>;
template<typename T>void stout(const T &v,ll h,ll w){for(ll i=0;i<h;i++){for(ll j=0;j<w;j++)cout<<v[i][j]<<" \n"[j==w-1];}};
template<typename T>void stout(const T &v,ll n){for(ll i=0;i<n;i++)cout<<v[i]<<" \n"[i==n-1];};
template<typename T>void stout(const vector<T>&v){stout(v,v.size());}
template<typename T>void stout(const vector<vector<T>>&v){for(auto &vv:v)stout(vv,vv.size());}
template<typename T>void debug(const T &v,ll h,ll w){for(ll i=0;i<h;i++){for(ll j=0;j<w;j++)cerr<<v[i][j]<<" \n"[j==w-1];}};
template<typename T>void debug(const T &v,ll n){for(ll i=0;i<n;i++)cerr<<v[i]<<" \n"[i==n-1];};
template<typename T>void debug(const vector<T>&v){debug(v,v.size());}
template<typename T>void debug(const vector<vector<T>>&v){for(auto &vv:v)debug(vv,vv.size());}
template<typename T>void debug(stack<T> st){while(!st.empty()){cerr<<st.top()<<" ";st.pop();}cerr<<endl;}
template<typename T>void debug(queue<T> st){while(!st.empty()){cerr<<st.front()<<" ";st.pop();}cerr<<endl;}
template<typename T>void debug(deque<T> st){while(!st.empty()){cerr<<st.front()<<" ";st.pop_front();}cerr<<endl;}
template<typename T>void debug(PQ<T> st){while(!st.empty()){cerr<<st.top()<<" ";st.pop();}cerr<<endl;}
template<typename T>void debug(QP<T> st){while(!st.empty()){cerr<<st.top()<<" ";st.pop();}cerr<<endl;}
template<typename T>void debug(const set<T>&v){for(auto z:v)cerr<<z<<" ";cerr<<endl;}
template<typename T>void debug(const multiset<T>&v){for(auto z:v)cerr<<z<<" ";cerr<<endl;}
template<typename T,size_t size>void debug(const array<T, size> &a){for(auto z:a)cerr<<z<<" ";cerr<<endl;}
template<typename T,typename V>void debug(const map<T,V>&v){for(auto z:v)cerr<<"["<<z.first<<"]="<<z.second<<",";cerr<<endl;}
int popcount(ll x){return __builtin_popcountll(x);};
int poplow(ll x){return __builtin_ctzll(x);};
int pophigh(ll x){return 63 - __builtin_clzll(x);};

void OUT() {cout << "\n";}
template <class Head, class... Tail>void OUT(Head&& head, Tail&&... tail){cout << head;if(sizeof...(tail)) cout << " ";OUT(move(tail)...);}
void ERR() {cerr << "\n";}
template <class Head, class... Tail>void ERR(Head&& head, Tail&&... tail){cerr << head;if(sizeof...(tail)) cerr << " ";ERR(move(tail)...);}
void fsp(int n){cout << fixed << setprecision(n);}
template<class T>bool chmax(T &a, const T &b) { if (a<b) { a=b; return 1; } return 0; }
template<class T>bool chmin(T &a, const T &b) { if (b<a) { a=b; return 1; } return 0; }
const ll INF=1LL<<60;
const int inf=(1<<30)-1;
const int mod=998244353;
// const int mod=1e9+7;
int dx[8]={1,0,-1,0,-1,-1,1,1};
int dy[8]={0,1,0,-1,-1,1,-1,1};

#include<atcoder/all>
using namespace atcoder;
// using mint=modint998244353;
using mint=modint1000000007;

template< class T >
struct Matrix {
  vector< vector< T > > A;

  Matrix() {}

  Matrix(size_t n, size_t m) : A(n, vector< T >(m, 0)) {}

  Matrix(size_t n) : A(n, vector< T >(n, 0)) {};

  size_t height() const {
    return (A.size());
  }

  size_t width() const {
    return (A[0].size());
  }

  inline const vector< T > &operator[](int k) const {
    return (A.at(k));
  }

  inline vector< T > &operator[](int k) {
    return (A.at(k));
  }

  static Matrix I(size_t n) {
    Matrix mat(n);
    for(int i = 0; i < n; i++) mat[i][i] = 1;
    return (mat);
  }

  Matrix &operator+=(const Matrix &B) {
    size_t n = height(), m = width();
    assert(n == B.height() && m == B.width());
    for(int i = 0; i < n; i++)
      for(int j = 0; j < m; j++)
        (*this)[i][j] += B[i][j];
    return (*this);
  }

  Matrix &operator-=(const Matrix &B) {
    size_t n = height(), m = width();
    assert(n == B.height() && m == B.width());
    for(int i = 0; i < n; i++)
      for(int j = 0; j < m; j++)
        (*this)[i][j] -= B[i][j];
    return (*this);
  }

  Matrix &operator*=(const Matrix &B) {
    size_t n = height(), m = B.width(), p = width();
    assert(p == B.height());
    vector< vector< T > > C(n, vector< T >(m, 0));
    for(int i = 0; i < n; i++)
      for(int j = 0; j < m; j++)
        for(int k = 0; k < p; k++)
          C[i][j] = (C[i][j] + (*this)[i][k] * B[k][j]);
    A.swap(C);
    return (*this);
  }

  Matrix &operator^=(long long k) {
    Matrix B = Matrix::I(height());
    while(k > 0) {
      if(k & 1) B *= *this;
      *this *= *this;
      k >>= 1LL;
    }
    A.swap(B.A);
    return (*this);
  }

  Matrix operator+(const Matrix &B) const {
    return (Matrix(*this) += B);
  }

  Matrix operator-(const Matrix &B) const {
    return (Matrix(*this) -= B);
  }

  Matrix operator*(const Matrix &B) const {
    return (Matrix(*this) *= B);
  }

  Matrix operator^(const long long k) const {
    return (Matrix(*this) ^= k);
  }

  T determinant() {
    Matrix B(*this);
    assert(width() == height());
    T ret = 1;
    for(int i = 0; i < width(); i++) {
      int idx = -1;
      for(int j = i; j < width(); j++) {
        if(B[j][i] != 0) idx = j;
      }
      if(idx == -1) return (0);
      if(i != idx) {
        ret *= -1;
        swap(B[i], B[idx]);
      }
      ret *= B[i][i];
      T vv = B[i][i];
      for(int j = 0; j < width(); j++) {
        B[i][j] /= vv;
      }
      for(int j = i + 1; j < width(); j++) {
        T a = B[j][i];
        for(int k = 0; k < width(); k++) {
          B[j][k] -= B[i][k] * a;
        }
      }
    }
    return (ret);
  }
};

int main(){
    cin.tie(0);
    ios::sync_with_stdio(false);
    INT(n,k,l);
    Matrix<mint> a(n,n),b(n,1);
    b[0][0]=1;
    REP(i,n){
        FOR(j,1,l+1) a[(i+j)%n][i]=1;
    }
    Matrix<mint> res=(a^k)*b;
    REP(i,n) OUT(res[i][0].val());
}

yukicoder

結果

テストケース

ソースコード