結果

問題 No.194 フィボナッチ数列の理解(1)
ユーザー nvt4s
提出日時 2019-06-13 12:06:37
言語 C++14
(gcc 8.3.0)
結果
WA   .
実行時間 -
コード長 3,605 Byte
コンパイル時間 1,455 ms
使用メモリ 9,272 KB
最終ジャッジ日時 2019-08-23 00:16:59

テストケース

テストケース表示
入力 結果 実行時間
使用メモリ
sample1.txt AC 3 ms
6,872 KB
sample2.txt AC 3 ms
6,868 KB
sample3.txt AC 336 ms
6,872 KB
system_test1.txt AC 29 ms
6,868 KB
system_test2.txt AC 120 ms
6,872 KB
system_test3.txt AC 96 ms
6,868 KB
system_test4.txt AC 120 ms
6,872 KB
system_test5.txt AC 203 ms
6,872 KB
system_test6.txt AC 20 ms
6,868 KB
system_test7.txt AC 153 ms
6,868 KB
system_test8.txt AC 54 ms
6,872 KB
system_test9.txt AC 59 ms
6,872 KB
system_test10.txt AC 99 ms
8,912 KB
system_test11.txt AC 37 ms
8,916 KB
system_test12.txt AC 9 ms
6,868 KB
system_test13.txt AC 257 ms
6,868 KB
system_test14.txt AC 208 ms
6,872 KB
system_test15.txt AC 54 ms
6,868 KB
system_test16.txt AC 223 ms
6,872 KB
system_test17.txt AC 315 ms
6,872 KB
testcase01.txt AC 10 ms
6,872 KB
testcase02.txt AC 43 ms
9,272 KB
testcase03.txt AC 3 ms
6,868 KB
testcase04.txt WA -
testcase05.txt WA -
testcase06.txt WA -
testcase07.txt AC 20 ms
8,920 KB
testcase08.txt AC 24 ms
6,872 KB
testcase09.txt WA -
testcase10.txt WA -
testcase11.txt AC 319 ms
6,872 KB
testcase12.txt AC 2 ms
6,868 KB
testcase13.txt AC 86 ms
8,916 KB
testcase14.txt AC 133 ms
6,868 KB
testcase15.txt AC 106 ms
6,872 KB
testcase16.txt AC 86 ms
6,868 KB
testcase17.txt AC 239 ms
6,868 KB
testcase18.txt AC 19 ms
6,872 KB
testcase19.txt AC 275 ms
6,872 KB
testcase20.txt AC 100 ms
6,872 KB
テストケース一括ダウンロード

ソースコード

diff #
#ifndef _GLIBCXX_NO_ASSERT
#include <cassert>
#endif
#include <cctype>
#include <cerrno>
#include <cfloat>
#include <ciso646>
#include <climits>
#include <clocale>
#include <cmath>
#include <csetjmp>
#include <csignal>
#include <cstdarg>
#include <cstddef>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <ctime>

#if __cplusplus >= 201103L
#include <ccomplex>
#include <cfenv>
#include <cinttypes>
#include <cstdbool>
#include <cstdint>
#include <ctgmath>
#include <cwchar>
#include <cwctype>
#endif

// C++
#include <algorithm>
#include <bitset>
#include <complex>
#include <deque>
#include <exception>
#include <fstream>
#include <functional>
#include <iomanip>
#include <ios>
#include <iosfwd>
#include <iostream>
#include <istream>
#include <iterator>
#include <limits>
#include <list>
#include <locale>
#include <map>
#include <memory>
#include <new>
#include <numeric>
#include <ostream>
#include <queue>
#include <set>
#include <sstream>
#include <stack>
#include <stdexcept>
#include <streambuf>
#include <string>
#include <typeinfo>
#include <utility>
#include <valarray>
#include <vector>

#if __cplusplus >= 201103L
#include <array>
#include <atomic>
#include <chrono>
#include <condition_variable>
#include <forward_list>
#include <future>
#include <initializer_list>
#include <mutex>
#include <random>
#include <ratio>
#include <regex>
#include <scoped_allocator>
#include <system_error>
#include <thread>
#include <tuple>
#include <typeindex>
#include <type_traits>
#include <unordered_map>
#include <unordered_set>
#endif

using namespace std;

#define rep(i, n) for(int i = 0; i < n; i++)
#define revrep(i, n) for(int i = n-1; i >= 0; i--)
typedef long long ll;
typedef pair<int,int> Pint;
typedef pair<ll, ll> P;
typedef vector<ll> vec;
typedef vector<vec> mat;
//typedef pair<int, pair<int, int>> P;
//typedef tuple<int,int,int> T;
ll INFL = 1000000000000000010;//10^18 = 2^60
int INF = 1000000000;//10^9
ll MOD  = 1000000007;
//vector<int> dy = {0,0,1,-1};
//vector<int> dx = {1,-1,0,0};

mat mul_mat(mat &A, mat &B){
  mat res(A.size(), vec(B[0].size()));
  rep(i, A.size())rep(k, B.size())rep(j, B[0].size()){
    res[i][j] = (res[i][j] + (A[i][k] * B[k][j]) % MOD) % MOD;
  }
  return res;
}
mat pow_mat(mat &A, ll n){
  mat res(A.size(), vec(A.size()));
  rep(i, A.size()) res[i][i] = 1;
  while(n > 0){
    if(n&1) res = mul_mat(res, A);
    A = mul_mat(A, A);
    n >>= 1;
  }
  return res;
}

int main(void){
  ll N, K;
  cin >> N >> K;
  vec A(N);
  rep(i, N) cin >> A[i];

  if(K <= N){
    cout << A[K] << " ";
    ll S = 0;
    rep(i, K){
      S = (S + A[i]) % MOD;
    }
    cout << S << endl;
    return 0;
  }else if(N <= 50){
    mat a(N, vec(N, 0));
    rep(i, N) a[i][0] = 1;
    rep(i, N-1) a[i][i+1] = 1;
    mat a_ = a;
    a = pow_mat(a, K-N);
    ll F = 0;
    rep(i, N){
      F = (F + A[N-1-i] * a[i][0]) % MOD;
    }
    mat b(2*N, vec(2*N, 0));
    rep(i, N)rep(j, N){
      b[i][j] = a_[i][j];
      if(i == j){
        b[i+N][i] = 1;
        b[i+N][i+N] = 1;
      }
    }
    b = pow_mat(b, K-N+1);
    b[N][0]--;

    ll S = 0;
    rep(i, N){
      S = (S + A[N-1-i] * (b[i+N][0])) % MOD;
      S = (S + A[i]) % MOD;
    }
    S = (S + MOD) % MOD;
    cout << F << " " << S << endl;
  }else{
    vec F(K, 0);
    rep(i, N) F[i] = A[i];
    for(int i = 0; i < N; i++){
      F[N] += A[i];
      F[N] %= MOD;
    }
    for(int i = N+1; i < K; i++){
      F[i] = 2 * F[i-1] - F[i-N-1];
      F[i] %= MOD;
    }
    ll S = 0;
    rep(i, K){
      S += F[i];
      S %= MOD;
    }
    cout << (F[K-1] + MOD) % MOD << " " << S << endl;

  }
}
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