#143046 (C++14) No.194 フィボナッチ数列の理解(1)

• 問題: No.194 フィボナッチ数列の理解(1)
• ユーザー: 0w1
• 提出日時: 2017-01-05 16:43:46
• 言語: C++14 (gcc 13.3.0 + boost 1.89.0)
• 結果: CE (最新)
  AC
  (最初)
• 実行時間: -
• コード長: 3,127 bytes
• コンパイル時間: 2,244 ms
• コンパイル使用メモリ: 180,624 KB
• 最終ジャッジ日時: 2025-11-07 23:02:17
• 合計ジャッジ時間: 3,033 ms
• ジャッジサーバーID （参考情報）: judge3 / judge5

コンパイルメッセージ

In file included from /usr/include/c++/13/string:43,
                 from /usr/include/c++/13/bitset:52,
                 from /usr/include/x86_64-linux-gnu/c++/13/bits/stdc++.h:52,
                 from main.cpp:6:
/usr/include/c++/13/bits/allocator.h: In destructor ‘std::_Vector_base<int, std::allocator<int> >::_Vector_impl::~_Vector_impl()’:
/usr/include/c++/13/bits/allocator.h:184:7: error: inlining failed in call to ‘always_inline’ ‘std::allocator< <template-parameter-1-1> >::~allocator() noexcept [with _Tp = int]’: target specific option mismatch
  184 |       ~allocator() _GLIBCXX_NOTHROW { }
      |       ^
In file included from /usr/include/c++/13/vector:66,
                 from /usr/include/c++/13/queue:63,
                 from /usr/include/x86_64-linux-gnu/c++/13/bits/stdc++.h:157:
/usr/include/c++/13/bits/stl_vector.h:133:14: note: called from here
  133 |       struct _Vector_impl
      |              ^~~~~~~~~~~~

ソースコード

#pragma GCC optimize ("O3")
// #pragma GCC optimize ("O2") 以下で自動ベクトル化を行う場合は、#pragma GCC optimize ("tree-vectorize") も合わせて記述してください。
#pragma GCC target ("avx") // ターゲットの変更 sse4, avx, avx2 など
#pragma GCC optimize ("fast-math")

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

typedef long long ll;
typedef vector< int > vi;
typedef vector< vi > vvi;
typedef vector< ll > vl;
typedef vector< vl > vvl;
typedef pair< int, int > pii;
typedef vector< pii > vp;
typedef vector< double > vd;
typedef vector< vd > vvd;
typedef vector< string > vs;

template< class T1, class T2 >
int upmin( T1 &x, T2 v ){
  if( x > v ){
    x = v;
    return 1;
  }
  return 0;
}

template< class T1, class T2 >
int upmax( T1 &x, T2 v ){
  if( x < v ){
    x = v;
    return 1;
  }
  return 0;
}

const int INF = 0x3f3f3f3f;

const int MOD7 = ( int ) 1e9 + 7;

int N;
ll K;
vi A;

void init(){
  cin >> N >> K;
  A = vi( N );
  for( int i = 0; i < N; ++i ){
    cin >> A[ i ];
  }
}

void preprocess(){
  
}

vvi mat_mul( vvi a, vvi b ){
  vvi c( a.size(), vi( b[ 0 ].size() ) );
  for( int i = 0; i < a.size(); ++i ){
    for( int j = 0; j < a[ 0 ].size(); ++j ){
      for( int k = 0; k < b[ 0 ].size(); ++k ){
        ( c[ i ][ k ] += 1LL * a[ i ][ j ] * b[ j ][ k ] % MOD7 ) %= MOD7;
      }
    }
  }
  return c;
}

vvi mat_pow( vvi a, ll p ){
  vvi res = vvi( a.size(), vi( a[ 0 ].size() ) );
  for( int i = 0; i < a.size(); ++i ){
    res[ i ][ i ] = 1;
  }
  while( p ){
    if( p & 1LL ){
      res = mat_mul( res, a );
    }
    p >>= 1;
    a = mat_mul( a, a );
  }
  return res;
}

void solve(){
  if( K <= ( ll ) 1e6 ){
    deque< int > dq;
    int cur_val = 0;
    int sum_val = 0;
    for( int i = 0; i < N; ++i ){
      dq.emplace_back( A[ i ] );
      ( cur_val += A[ i ] ) %= MOD7;
      ( sum_val += A[ i ] ) %= MOD7;
    }
    ( sum_val += cur_val ) %= MOD7;
    dq.emplace_back( cur_val );
    for( int i = 0; i < K - 1 - N; ++i ){
      ( cur_val += cur_val ) %= MOD7;
      ( cur_val -= dq.front() ) %= MOD7;
      ( sum_val += cur_val ) %= MOD7;
      dq.pop_front();
      dq.emplace_back( cur_val );
    }
    if( cur_val < 0 ){
      cur_val += MOD7;
    }
    if( sum_val < 0 ){
      sum_val += MOD7;
    }
    cout << cur_val << " " << sum_val << endl;
  } else{
    vvi feature( N + 1, vi( N + 1 ) );
    for( int i = 0; i < N; ++i ){
      feature[ 0 ][ i ] = 1;
    }
    for( int i = 0; i + 1 < N; ++i ){
      feature[ i + 1 ][ i ] = 1;
    }
    for( int i = 0; i <= N; ++i ){
      feature[ N ][ i ] = 1;
    }
    vvi a( N + 1, vi( 1 ) );
    for( int i = 0; i < N; ++i ){
      a[ i ][ 0 ] = A[ N - 1 - i ];
    }
    for( int i = 0; i < N; ++i ){
      ( a[ N ][ 0 ] += A[ i ] ) %= MOD7;
    }
    a = mat_mul( mat_pow( feature, K - N ), a );
    int cur_val = a[ 0 ][ 0 ] < 0 ? a[ 0 ][ 0 ] + MOD7 : a[ 0 ][ 0 ];
    int sum_val = a[ N ][ 0 ] < 0 ? a[ N ][ 0 ] + MOD7 : a[ N ][ 0 ];
    cout << cur_val << " " << sum_val << endl;
  }
}

signed main(){
  ios::sync_with_stdio( 0 );
  init();
  preprocess();
  solve();
  return 0;
}