How to check a sequence is strictly monotonically or there is one turning point where both sides are strictly monotonically?

Input

l1=[1,3,5,6,7]
l2=[1,2,2,3,4]
l3=[5,4,3,2,1]
l4=[5,5,3,2,1]
l5=[1,2,3,4.1,3,2]
l6=[3,2,1,0.4,1,2,3]
l7=[1,2,10,4,8,9,2]
l8=[1,2,3,4,4,3,2,1]
l9=[-0.05701686,  0.57707936, -0.34602634, -0.02599778]
l10=[ 0.13556905,  0.45859   , -0.34602634, -0.09178798,  0.03044908]
l11=[-0.38643975, -0.09178798,  0.57707936, -0.05701686,  0.00649252]

Notice: The value in sequence is float.

Expected

• Write a function find_targeted_seq that returns a sequence whether is strictly monotonically or there is one turning point where both sides are strictly monotonically.For example, l1,l3,l5,l6 are expected.

Try

• Pandas API could solve strictly monotonically.,but I don't know how to solve there is one turning point, especially excluding l8.

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