input: Write a function to find the longest contiguous sequence of increasing numbers within an array. If the given array is empty, return an empty array.
  
  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]
  
  assert find_longest_increasing_sequence([3, 2, 1, 4, 5, 6, 7, 8]) == [4, 5, 6, 7, 8]
  assert find_longest_increasing_sequence([10, 20, 30, 1, 2, 3, 4, 5]) == [1, 2, 3, 4, 5]
  assert find_longest_increasing_sequence([1, 3, 5, 7]) == [1, 3, 5, 7]
  assert find_longest_increasing_sequence([5, 4, 3, 2, 1]) == [5]
  assert find_longest_increasing_sequence([]) == []
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]