title: Count Fibonacci Numbers Given Range Log Time
signature: function count_fibonacci_numbers_given_range_log_time(low, high)
test_code: 
  
  -- SOLUTION CODE
  -- ============================================
  PLACEHOLDER_CODE_BODY
  
  -- TESTING CODE 
  -- ============================================
  function isCorrect(actual, expected)
      if type(expected) ~= type(actual) then
          return false
      end
      
      if type(expected) == 'table' then
          for k,v_expected in pairs(expected) do
              
              if actual[k] == nil then
                  return false
              end
              local v_actual = actual[k]
              if not isCorrect(v_actual, v_expected) then
                  return false
              end
              actual[k]=nil
          end
      
          if next(actual) then 
              return false
          end
          return true
      else
          return actual == expected
      end
  end
  
  function validateSolution(actual, expected)
      return isCorrect(actual,expected)
  end
  
  function driver(low, high, expected)
      local exec_result;
      local status, error_msg = pcall(function () 
          exec_result=PLACEHOLDER_FN_NAME(low, high) 
      end)
      if status then
          if validateSolution(exec_result,expected) then
              return "PASSED"
          end
          return "FAILED"
      else
          return string.format("ERROR=%s",string.gsub(error_msg,".*:[%d]+: ",""))
      end
  end
      
  function main()
      result = driver(76, 43, 0)
      print(string.format("TEST-0...%s",result))
  
      result = driver(96, 52, 0)
      print(string.format("TEST-1...%s",result))
  
      result = driver(19, 79, 3)
      print(string.format("TEST-2...%s",result))
  
      result = driver(36, 2, 0)
      print(string.format("TEST-3...%s",result))
  
      result = driver(60, 11, 0)
      print(string.format("TEST-4...%s",result))
  
      result = driver(20, 15, 0)
      print(string.format("TEST-5...%s",result))
  
      result = driver(76, 4, 0)
      print(string.format("TEST-6...%s",result))
  
      result = driver(63, 93, 1)
      print(string.format("TEST-7...%s",result))
  
      result = driver(2, 25, 6)
      print(string.format("TEST-8...%s",result))
  
      result = driver(41, 39, 0)
      print(string.format("TEST-9...%s",result))
  
  end
  
  main()
source_py: def count_fibonacci_numbers_given_range_log_time(low, high):
      (f1, f2, f3) = (0, 1, 1)
      result = 0
      while (f1 <= high):
          if (f1 >= low):
              result += 1
          f1 = f2
          f2 = f3
          f3 = (f1 + f2)
      return result
source_cpp: int count_fibonacci_numbers_given_range_log_time(int low, int high) {
    int f1 = 0, f2 = 1, f3 = 1;
    int result = 0;
    while ( f1 <= high ) {
      if ( f1 >= low ) result ++;
      f1 = f2;
      f2 = f3;
      f3 = f1 + f2;
    }
    return result;
  }