input: Write a function that finds the longest contiguous sequence of increasing numbers within an array. The function should return this sequence. If the array is empty, the function should return an empty list.
  
  def find_longest_increasing_sequence(arr):
      if not arr:
          return []
      longest_start = 0
      longest_length = 1
      current_start = 0
      current_length = 1
      
      for i in range(1, len(arr)):
          if arr[i] > arr[i - 1]:
              current_length += 1
          else:
              if current_length > longest_length:
                  longest_start = current_start
                  longest_length = current_length
              current_start = i
              current_length = 1
      
      if current_length > longest_length:
          longest_start = current_start
          longest_length = current_length
      
      return arr[longest_start:longest_start + longest_length]
  
  arr = [3, 2, 1, 4, 5, 6, 7, 8]
  assert find_longest_increasing_sequence(arr) == [4, 5, 6, 7, 8]
  
  arr = [10, 20, 30, 1, 2, 3, 4, 5]
  assert find_longest_increasing_sequence(arr) == [1, 2, 3, 4, 5]
  
  arr = [5, 4, 3, 2, 1]
  assert find_longest_increasing_sequence(arr) == [5]
  
  arr = []
  assert find_longest_increasing_sequence(arr) == []
output: def find_longest_increasing_sequence(arr):
      if not arr:
          return []
      longest_start = 0
      longest_length = 1
      current_start = 0
      current_length = 1
      
      for i in range(1, len(arr)):
          if arr[i] > arr[i - 1]:
              current_length += 1
          else:
              if current_length > longest_length:
                  longest_start = current_start
                  longest_length = current_length
              current_start = i
              current_length = 1
      
      if current_length > longest_length:
          longest_start = current_start
          longest_length = current_length
      
      return arr[longest_start:longest_start + longest_length]