Computer Science solve the following recurrence equation by substitution. assume n is the power of 2. show your work. T(n) = 2, if n=1 T(n) = 4T(n/2)+2n, if n>1
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Computer Science
solve the following recurrence equation by substitution. assume n is the power of 2. show your work.
T(n) = 2, if n=1
T(n) = 4T(n/2)+2n, if n>1
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- Solve the following recurrences assuming that T(n) = Θ(1) for n ≤ 1. a) T (n) = 3T (n/π) + n/π b) T(n) = T(log n) + log nSolve the recurrence relation: T (n) = T (n/2) + T (n/4) + T (n/8) + n. Use the substitution method, guess that the solution is T (n) = O (n log n)Order the following from lowest to highest big O complexity. In other words, the slowest growing functions should be placed first and the fastest growing last. 2N-1 5 N5 9999 600 * N * log(N) N2
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- Use the Master Theorem to find the complexity class ( Θ notation ) of the following recurrences a) T(n) = 4T(n/2) + n3 b) T(n) = 4T(n/3) + n c) T(n) = 4T(n/3) + n2Solve the recurrence relation using the iteration method: T(n)=4T(n/2) + (n^2)log nSolve the recurrence below in the same style as done in lecture. Simplify any formula you get. T(1) = 4 T(n) = n - 3 + T(n-1) for any n > 1.
- Data Structures and Algorithms Solve the following recurrence relations. x(n) = x(n − 1) + 5 for n > 1, x(1) = 0 x(n) = x(n − 1) + n for n > 0, x(0) = 0 x(n) = x(n/2) + n for n > 1, x(1) = 1the value of factor(P/F,i,10) can be found by getting the factor values for(P/F,i,4) and(P/f,i,6)and adding it toSolve the following recurrence by method of backwards substitution A(n)=2A(n-1)+1 for n>1 , with A(1) = 2 Please show detailed workings thank you