5_func.fc

{-
  TASK 5 - Fibonacci sequence
  Implement a function that generates the Fibonacci
  sequence from N to N+K terms (0<=N<=370; 0<=N+K<=370; 0<=K<=255).
  The first two terms of the Fibonacci sequence are F_0 = 0 and F_1 = 1,
  and the rest are defined as F_n = F_(n-1) + F_(n-2).
  The resulting Fibonacci sequence should be stored in a tuple.
  For example, a request with N = 1 and K = 3 should return a tuple [1, 1, 2],
  and a request with N = 201 and K = 4 should return a tuple
  [453973694165307953197296969697410619233826,
  734544867157818093234908902110449296423351,
  1188518561323126046432205871807859915657177,
  1923063428480944139667114773918309212080528]
-}

cell fibonacci_dict() asm 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B>boc PUSHREF";

() recv_internal() {
}

;; testable
(tuple) fibonacci_sequence (int n, int k) method_id {
  tuple answer = empty_tuple();
  if(k < 2) {
      if(k == 0) {
          return answer;
      }

      if(n == 370) {
          answer~tpush(94611056096305838013295371573764256526437182762229865607320618320601813254535);
          return answer;
      }

      if(k == 1) {
          (slice v, int f) = fibonacci_dict().udict_get?(9, n);
          answer~tpush(v.preload_uint(256));
          return answer;
      }
  }

  (slice v, int f) = fibonacci_dict().udict_get?(9, n);
  int F_0 = v~load_uint(256);
  int F_1 = v.preload_uint(256);
  answer~tpush(F_0);
  answer~tpush(F_1);
  k -= 2;
  repeat(k) {
    int t = F_0 + F_1;
    F_0 = F_1;
    F_1 = t;
    answer~tpush(F_1);
  }
  return answer;
}