def almostIncreasingSequence(sequence):
    count_numb = 0
    bRemove = False

    if sequence.index(max(sequence)) < sequence.index(min(sequence)):
        count_numb += 1
        sequence.remove(max(sequence))

    for idx in range(len(sequence)-1):
        if sequence[idx] >= sequence[idx+1]:
            to_remove = idx
            bRemove = True
            count_numb += 1

   # if bRemove : sequence.remove(sequence[to_remove])

    if bRemove and len(sequence)-1-to_remove >= 2 and sequence[to_remove] < sequence[to_remove+2] :
        sequence.pop(to_remove+1)
    elif bRemove and sequence[to_remove+1] <= min(sequence) :
        sequence.pop(to_remove+1)
    elif bRemove : sequence.remove(sequence[to_remove])



    for idx in range(len(sequence)-1):
        if sequence[idx] >= sequence[idx+1]:
            count_numb += 1

    if count_numb <=1 :
        result = True
    else:
        result = False

    return result