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Honorable Experts, could you please solve this with 100% accuracy? you have to solve this with questions instruction . please you have to show all

Honorable Experts,
could you please solve this with 100% accuracy? you have to solve this with questions instruction . please you have to show all your work .
Course - CSE 373 - Data Structure ( Theory Part ) Don't Need to Write unnecessary coding part .
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5. a) Define the following and show the relationship anong them: (i) Polynomial time problems (ii) NP Hard Problems (iii) NP-Completeness. b) Find a longest strictly increasing subsequence (not necessarily contiguous) from the following sequence.

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