self doubt -DLD

Question

what will be the simplified expression of the following ?

1-$\bar{P}\bar{Q}+\bar{Q}\bar{R}+\bar{R}\bar{S}+\bar{T}\bar{S}+\bar{T}\bar{R}+S$

My answer is this please me if its wrong $\bar{P}\bar{Q}+\bar{T}+\bar{R}+S$

Comments

A+A'B=A+B

Apply this several time you will get my expression

=P'Q'+Q'R'+R'S'+T'R'+T'S'+S                              [S+T'S'=S+T']

=P'Q'+Q'R'+R'S'+T'R'+S+T'                                 [R'S'+S=S+R'  &  T'R'+T'=T']

=P'Q'+Q'R'+S+R'+T'                                            [Q'R'+R'=R']

=P'Q'+R'+T'+S                      this is the expression  I have got.....

correct me if I am wrong...

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I get $\bar{P}\bar{Q}+\bar{R}+\bar{T}+S$
5 variable function $k-$map is bit difficult.

So, we can solve using some theorems.

But this type of method can not give always the unique solution.

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thanks for correcting me I have corrected my comment