from bisect import bisect_right
from operator import itemgetter
 
 
def out_of_sequence(seq, key = None):
  if key is None: key = lambda x: x 
 
  lastoflength = [0] # end position of subsequence with given length
  predecessor = [None] # penultimate element of l.i.s. ending at given position
 
  for i in range(1, len(seq)):
    # find length j of subsequence that seq[i] can extend
    j = bisect_right([key(seq[k]) for k in lastoflength], key(seq[i]))
    # update old subsequence or extend the longest
    try: lastoflength[j] = i
    except: lastoflength.append(i)
    # record element preceding seq[i] in the subsequence for backtracking
    predecessor.append(lastoflength[j-1] if j > 0 else None)
 
  indices = set()
  i = lastoflength[-1]
  while i is not None:
    indices.add(i)
    i = predecessor[i]
 
  return [e for i, e in enumerate(seq) if i not in indices]
 
print(out_of_sequence([991, 992, 993, 1, 2, 3, 4, 5, 994, 995, 996, 997, 998, 999]))
 

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