title: Zeckendorfs Theorem Non Neighbouring Fibonacci Representation
signature: def zeckendorfs_theorem_non_neighbouring_fibonacci_representation(n):
source_py: def zeckendorfs_theorem_non_neighbouring_fibonacci_representation(n):
      if ((n == 0) or (n == 1)):
          return n
      (f1, f2, f3) = (0, 1, 1)
      while (f3 <= n):
          f1 = f2
          f2 = f3
          f3 = (f1 + f2)
      return f2
source_cpp: int zeckendorfs_theorem_non_neighbouring_fibonacci_representation(int n) {
    if ( n == 0 || n == 1 ) return n;
    int f1 = 0, f2 = 1, f3 = 1;
    while ( f3 <= n ) {
      f1 = f2;
      f2 = f3;
      f3 = f1 + f2;
    }
    return f2;
  }
question_info.test_code: import array
  import bisect
  import collections
  import datetime
  import functools
  import heapq
  import itertools
  import math
  import queue
  import re
  import string
  import sys
  from typing import Any, Dict, List, Optional, Set
  
  
  # SOLUTION CODE
  # ============================================
  PLACEHOLDER_CODE_BODY
  
  # TESTING CODE 
  # ============================================
  def validate_solution(actual, expected):
      return actual == expected
  
  def driver(n, expected):
      try:
          if validate_solution(PLACEHOLDER_FN_NAME(
              n),
              expected
          ):
              return "PASSED"
          return "FAILED"
      except Exception as exception_obj:
          return type(exception_obj).__name__
      
  if __name__ == "__main__":
      result = driver(54, 34)
      print(f"TEST-0...{result}")
  
      result = driver(71, 55)
      print(f"TEST-1...{result}")
  
      result = driver(64, 55)
      print(f"TEST-2...{result}")
  
      result = driver(71, 55)
      print(f"TEST-3...{result}")
  
      result = driver(96, 89)
      print(f"TEST-4...{result}")
  
      result = driver(43, 34)
      print(f"TEST-5...{result}")
  
      result = driver(70, 55)
      print(f"TEST-6...{result}")
  
      result = driver(94, 89)
      print(f"TEST-7...{result}")
  
      result = driver(95, 89)
      print(f"TEST-8...{result}")
  
      result = driver(69, 55)
      print(f"TEST-9...{result}")
  
      sys.exit(0)
question_info.test_case_ids: ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9']
question_info.entry_fn_name: zeckendorfs_theorem_non_neighbouring_fibonacci_representation
question_info.test_list: [{"idx": 0, "outputs": 34, "inputs": {"n": 54}}, {"idx": 1, "outputs": 55, "inputs": {"n": 71}}, {"idx": 2, "outputs": 55, "inputs": {"n": 64}}, {"idx": 3, "outputs": 55, "inputs": {"n": 71}}, {"idx": 4, "outputs": 89, "inputs": {"n": 96}}, {"idx": 5, "outputs": 34, "inputs": {"n": 43}}, {"idx": 6, "outputs": 55, "inputs": {"n": 70}}, {"idx": 7, "outputs": 89, "inputs": {"n": 94}}, {"idx": 8, "outputs": 89, "inputs": {"n": 95}}, {"idx": 9, "outputs": 55, "inputs": {"n": 69}}]
question_info.entry_cls_name: Solution