Note : i need the solution on paper proven.

Given the following $4$ documents retrieved from the collection of $10,000,000$ documents in response to query $"N{P}^{{?}^{?}}$ Turing ${?}^{{?}^{?}}$ circuits":

D$1=$"deterministic Turing machines are special non$-$deterministic Turing machines, it is easily observed that each problem in P is also member of the class NP$."$

$D2=$ "also known that if $P=NP,$ then EXPTIME $=$ NEXPTIME, the class of problems solvable in exponential time by a nondeterministic Turing machine"

D$3="$In computational complexity theory, an advice string is an extra input to a Turing machine. A circuit $A(n)$ is deciding the problem, or we can use a Turing machine that interprets the advice string as a description of the circuit"

D$4=$"The fact that Circuit$-$SAT is in NP is easy. Given a circuit C in the standard basis"

We know that document frequency of terms NP$,$ circuit and Turing in this collection are $100,000$ and $50,000$ and $200,000$ respectively.

Use sublinear scaling weighted term frequency $w{f}_{t,d},$ wf$-$idf metric and cosine similarity measure to compute ranking of each document w$.$r$.$t the query. Then order documents according to the rank.

Use the format of Table $6\mathrm{.}1$ from the text $($copied below$)$

$\backslash$table$[[,$query,document,$q_i*d_i$