結果

問題 No.1595 The Final Digit
ユーザー hamrayhamray
提出日時 2021-07-09 21:46:59
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 2 ms / 2,000 ms
コード長 7,098 bytes
コンパイル時間 1,609 ms
コンパイル使用メモリ 169,088 KB
実行使用メモリ 6,944 KB
最終ジャッジ日時 2024-07-01 15:49:42
合計ジャッジ時間 2,281 ms
ジャッジサーバーID
（参考情報） 		judge4 / judge3
このコードへのチャレンジ
（要ログイン）

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
6,940 KB
testcase_02 AC 2 ms
6,940 KB
testcase_03 AC 2 ms
6,940 KB
testcase_04 AC 2 ms
6,940 KB
testcase_05 AC 2 ms
6,940 KB
testcase_06 AC 2 ms
6,944 KB
testcase_07 AC 2 ms
6,940 KB
testcase_08 AC 2 ms
6,944 KB
testcase_09 AC 2 ms
6,940 KB
testcase_10 AC 2 ms
6,944 KB
testcase_11 AC 2 ms
6,940 KB
testcase_12 AC 2 ms
6,940 KB
testcase_13 AC 2 ms
6,940 KB
testcase_14 AC 2 ms
6,940 KB
testcase_15 AC 2 ms
6,940 KB
testcase_16 AC 2 ms
6,940 KB
testcase_17 AC 2 ms
6,944 KB
testcase_18 AC 2 ms
6,944 KB
testcase_19 AC 2 ms
6,944 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>
//#include <atcoder/all>
//using namespace atcoder;
#pragma GCC target ("avx2")
#pragma GCC optimization ("O3")
#pragma GCC optimization ("unroll-loops")
 
using namespace std;
 
typedef vector<int> VI;
typedef vector<VI> VVI;
typedef vector<string> VS;
typedef pair<int, int> PII;
typedef pair<int, int> pii;
typedef pair<long long, long long> PLL;
typedef pair<int, PII> TIII;
 
typedef long long ll;
typedef long double ld;
typedef unsigned long long ull;
 
 
#define FOR(i, s, n) for (int i = s; i < (int)n; ++i)
#define REP(i, n) FOR(i, 0, n)
#define rep(i, a, b) for (int i = a; i < (b); ++i)
#define trav(a, x) for (auto &a : x)
#define all(x) x.begin(), x.end()
 
#define MOD 1000000007
 
template<class T1, class T2> inline bool chmax(T1 &a, T2 b) {if (a < b) {a = b; return true;} return false;}
template<class T1, class T2> inline bool chmin(T1 &a, T2 b) {if (a > b) {a = b; return true;} return false;}
const double EPS = 1e-12, PI = acos(-1);
const double pi = 3.141592653589793238462643383279;
//ここから編集    
typedef string::const_iterator State;
ll GCD(ll a, ll b){
  return (b==0)?a:GCD(b, a%b);
}
ll LCM(ll a, ll b){
  return a/GCD(a, b) * b;
}
template< int mod >
struct ModInt {
  int x;
 
  ModInt() : x(0) {}
 
  ModInt(int64_t y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {}
 
  ModInt &operator+=(const ModInt &p) {
    if((x += p.x) >= mod) x -= mod;
    return *this;
  }
 
  ModInt &operator-=(const ModInt &p) {
    if((x += mod - p.x) >= mod) x -= mod;
    return *this;
  }
 
  ModInt &operator*=(const ModInt &p) {
    x = (int) (1LL * x * p.x % mod);
    return *this;
  }
 
  ModInt &operator/=(const ModInt &p) {
    *this *= p.inverse();
    return *this;
  }
 
  ModInt operator-() const { return ModInt(-x); }
 
  ModInt operator+(const ModInt &p) const { return ModInt(*this) += p; }
 
  ModInt operator-(const ModInt &p) const { return ModInt(*this) -= p; }
 
  ModInt operator*(const ModInt &p) const { return ModInt(*this) *= p; }
 
  ModInt operator/(const ModInt &p) const { return ModInt(*this) /= p; }
 
  bool operator==(const ModInt &p) const { return x == p.x; }
 
  bool operator!=(const ModInt &p) const { return x != p.x; }
 
  ModInt inverse() const {
    int a = x, b = mod, u = 1, v = 0, t;
    while(b > 0) {
      t = a / b;
      swap(a -= t * b, b);
      swap(u -= t * v, v);
    }
    return ModInt(u);
  }
 
  ModInt pow(int64_t n) const {
    ModInt ret(1), mul(x);
    while(n > 0) {
      if(n & 1) ret *= mul;
      mul *= mul;
      n >>= 1;
    }
    return ret;
  }
 
  friend ostream &operator<<(ostream &os, const ModInt &p) {
    return os << p.x;
  }
 
  friend istream &operator>>(istream &is, ModInt &a) {
    int64_t t;
    is >> t;
    a = ModInt< mod >(t);
    return (is);
  }
 
  static int get_mod() { return mod; }
};
 
using modint = ModInt< 10 >;
template< typename T >
struct Combination {
  vector< T > _fact, _rfact, _inv;
 
  Combination(int sz) : _fact(sz + 1), _rfact(sz + 1), _inv(sz + 1) {
    _fact[0] = _rfact[sz] = _inv[0] = 1;
    for(int i = 1; i <= sz; i++) _fact[i] = _fact[i - 1] * i;
    _rfact[sz] /= _fact[sz];
    for(int i = sz - 1; i >= 0; i--) _rfact[i] = _rfact[i + 1] * (i + 1);
    for(int i = 1; i <= sz; i++) _inv[i] = _rfact[i] * _fact[i - 1];
  }
 
  inline T fact(int k) const { return _fact[k]; }
 
  inline T rfact(int k) const { return _rfact[k]; }
 
  inline T inv(int k) const { return _inv[k]; }
 
  T P(int n, int r) const {
    if(r < 0 || n < r) return 0;
    return fact(n) * rfact(n - r);
  }
 
  T C(int p, int q) const {
    if(q < 0 || p < q) return 0;
    return fact(p) * rfact(q) * rfact(p - q);
  }
 
  T H(int n, int r) const {
    if(n < 0 || r < 0) return (0);
    return r == 0 ? 1 : C(n + r - 1, r);
  }
};
 
ll modpow(ll x, ll n, ll mod) {
  ll res = 1;
  while(n) {
    if(n&1) res = (res * x) % mod;
    x = (x * x) % mod;
    n >>= 1;
  }
  return res;
} 
inline long long mod(long long a, long long m) {
    return (a % m + m) % m;
}
template<typename T>
struct Matrix{

  int row, col;

  std::vector<std::vector<T>> A;
  Matrix() { row = col = 1; }
  Matrix(int h, int w, T val = 0) : row(h), col(w), A(row, std::vector<T>(col, val)){}
  Matrix(const std::vector<std::vector<T>> &v) : row(v.size()), col(v[0].size()), A(v){}
  
  int GetRow() const { return row; }
  int GetCol() const { return col; }
  
  const std::vector<T>& operator[](int i) const { return A[i]; }
        std::vector<T>& operator[](int i)       { return A[i]; }

  Matrix E(int n) {
    Matrix M(n, n);
    for(int i=0; i<n; i++) M[i][i] = 1;
    return M;
  }

  Matrix& operator+=(const Matrix& B) {
    int n = GetRow(), m = GetCol();
    assert(n == B.size()); assert(m == B[0].size());
    Matrix C(n, m);
    for(int i=0; i<n; i++) {
      for(int j=0; j<m; j++) {
        C[i][j] = A[i][j] + B[i][j];
      }
    }
    return *this = C;
  }

  Matrix& operator-=(const Matrix& B) {
    int n = GetRow(), m = GetCol();
    assert(n == B.size()); assert(m == B[0].size());
    Matrix C(n, m);
    for(int i=0; i<n; i++) {
      for(int j=0; j<m; j++) {
        C[i][j] = A[i][j] - B[i][j];
      }
    }
    return *this = C;
  }

  Matrix& operator*=(const Matrix& B) {
    int k = GetRow(), l = GetCol(), n = B.GetRow(), m = GetCol();
    assert(l == n);
    Matrix C(k, m);
    for(int i=0; i<k; i++) {
      for(int j=0; j<m; j++) {
        for(int k=0; k<n; k++) {
          C[i][j] += A[i][k] * B[k][j];
        }
      }
    }
    return *this = C;
  }

  Matrix& operator^=(long long n) {
    Matrix B = Matrix::E(GetRow());
    while(n > 0) {
      if(n&1) B = B * (*this);
      *this = (*this) * (*this);
      n >>= 1;
    }
    return *this = B;
  }

  Matrix operator+(const Matrix& B){ return Matrix(*this) += B; }
  Matrix operator-(const Matrix& B){ return Matrix(*this) -= B; }
  Matrix operator*(const Matrix& B){ return Matrix(*this) *= B; }
  Matrix operator^(long long n){ return Matrix(*this) ^= n; }

  friend std::ostream& operator<< (std::ostream& os, const Matrix& m) {
    for(int i=0; i<m.GetRow(); i++) {
      for(int j=0; j<m.GetCol(); j++) {
        if(j != 0) os << ' ';
        os << m.A[i][j];
      }
      os << '\n';
    }
    return os;
  }
};

int dp[10][10][10];
int main() {  
  cin.tie(0);
  ios::sync_with_stdio(false);
  cout << fixed << setprecision(12);
  
  ll p, q, r, K; cin >> p >> q >> r >> K;

  p %= 10;
  q %= 10;
  r %= 10;
  if(K == 1) cout << p << endl;
  else if(K == 2) cout << q << endl;
  else if(K == 3) cout << r << endl;
  else{
  K -= 3;
  REP(i,10) REP(j,10) REP(k,10) dp[i][j][k] = 1e9;
  dp[p][q][r] = 0;
  while(K>0) {
    int nxt = (p+q+r)%10;
    if(dp[q][r][nxt] != 1e9) {

      int len = dp[p][q][r] - dp[q][r][nxt];
      K--;
      K %= len+1;
      int t1 = q, t2 = r, t3 = nxt;
      while(K > 0) {
        int nxt2 = (t1+t2+t3)%10;
        t1 = t2, t2 = t3, t3 = nxt2;
        K--;
      }
      cout << t3 << endl;
      return 0;
    }
    dp[q][r][nxt] = dp[p][q][r] + 1;
    p = q, q = r, r = nxt;
    K--;
  }

  cout << r << endl;
  }
  return 0;
}
0