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  1. /// HDM
  2. #include <bits/stdc++.h>
  3. #define ll long long
  4. #define F first
  5. #define S second
  6. #define pb push_back
  7. #define ld long double
  8. #define time cout << "\nTime: " << clock()/(double) 1000 << "s "
  9. #define fast ios_base::sync_with_stdio(false), cin.tie(NULL), cout.tie(NULL);
  10. #define inp freopen(duckman".inp", "r", stdin);
  11. #define out freopen(duckman".out", "w", stdout);
  12. const ll oo = 4557430888798830399;
  13.  
  14. #define duckman "seq"
  15.  
  16. const ll nmax = 10 + 5, mod = 1000000000;
  17. using namespace std;
  18.  
  19. ll N, n, u[nmax];
  20. struct Matrix {
  21.     ll m[13][13];
  22.  
  23.     void Base() {
  24.         memset(m, 0, sizeof(m));
  25.         for (ll i = 1; i <= N; ++i) {
  26.             m[i][N] = u[N - i + 1];
  27.         }
  28.         for (ll i = 2; i <= N; ++i) {
  29.             m[i][i - 1] = 1;
  30.         }
  31.     }
  32.  
  33.     Matrix operator * (Matrix b) {
  34.         Matrix c;
  35.         for (ll i = 1; i <= N; ++i) {
  36.             for (ll j = 1; j <= N; ++j) {
  37.                 c.m[i][j] = 0;
  38.                 for (ll k = 1; k <= N; ++k) {
  39.                     c.m[i][j] = (c.m[i][j] % mod + ((m[i][k] % mod) * (b.m[k][j] % mod))) % mod;
  40.                 }
  41.             }
  42.         }
  43.         return c;
  44.     }
  45. };
  46.  
  47. Matrix Pow(Matrix& mat, ll p) {
  48.     if (p == 1) {
  49.         return mat;
  50.     }
  51.     Matrix half = Pow(mat, p / 2);
  52.     Matrix ans = half * half;
  53.     if (p % 2 == 1) {
  54.         ans = ans * mat;
  55.     }
  56.     return ans;
  57. }
  58.  
  59. Matrix ans, p;
  60. void Solve() {
  61.     cin >> N;
  62.     for (ll i = 1; i <= N; ++i) {
  63.         cin >> ans.m[1][i];
  64.     }
  65.     for (ll i = 1; i <= N; ++i) {
  66.         cin >> u[i];
  67.     }
  68.     cin >> n;
  69.     if (n <= N) {
  70.         cout << ans.m[1][n] << endl;
  71.     }
  72.     else {
  73.         p.Base();
  74.         cout << (ans * Pow(p, n - N)).m[1][N] << endl;
  75.     }
  76. }
  77.  
  78. int main() {
  79.     fast;
  80.  
  81.     ll t;
  82.     cin >> t;
  83.     while (t-- > 0) {
  84.         Solve();
  85.     }
  86. }
  87. /*
  88.  
  89. */
  90.  
Runtime error #stdin #stdout 0.06s 4732KB
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https://ideone.com/Xi8MsX
language:
C++14 (gcc 8.3)
created:
3 years ago
visibility:
public

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