Fundamentals and patterns (increasing decreasing sequesnces )

#1

sir in this ques , for the series 1,2,3,4,5 how this answer can be true becoz this series only contains a pattern which is continuously increasing ,
but acc to instruction the answer will be true only when the series contain some part which is strictly increaing and some part which is strictly decreasing…

plz clarify it

#2

@sameeksha,

  • A sequence is true if you can split it into two sub sequence such that first sequence is strictly decreasing and second sequence is strictly increasing.
  • For e.g.,
    1 2 3 4 5
    This sequence is also true as we can split it into two sequence like., sequence one is empty and sequence two is 1 2 3 4 5.
  • Let’s take another example.,
    5 4 3 2 1
    This is also true as we can split it such that sequence one is5 4 3 2 1 and sequence two is empty.
    According to the problem statement, we can say the if the sequence decreases then it should not increase, if this is the case one can directly print false else print true.
  • The third case is when the sequence is first strictly decreasing then strictly increasing.
    For example :
    9 5 2 7 10
    The sequence first decreases starting from 9 to 2 - { 9, 5, 2 } and then starts increasing - { 7, 10}. Note that it can also be broken as { 9, 5} and { 2, 7, 10} .
    Since the sequence fulfills the required condition , we would also print “true” for this.

These are 3 cases you have to consider. Also in case all elements are equal the answer will be false.

#3

I hope I’ve cleared your doubt. I ask you to please rate your experience here
Your feedback is very important. It helps us improve our platform and hence provide you
the learning experience you deserve.

On the off chance, you still have some questions or not find the answers satisfactory, you may reopen
the doubt.