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CS502 Assignment No 1 Solution Fall 2023 – VU Assignment Solution – VU Fall Assignment Solution
The CS502 Assignment No 1 Solution Fall 2023Â of Virtual University (VU) course assignment, and I will share with you today the solution I came up with. Always come back to StudySolution for the most recent updates regarding the answers to your assignments.
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Assignment No. 1
Solution Fall 2023
CS502 Assignment 1
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| Solution:
·      Generate an AP having n terms Pseudo code: Generate Arthimatic Progression (a,d,n)
array = [] for i = 0 to (n-1) term = a + i *d add term to array return array
·      Find the nth term of the AP Pseudo Code: FindnthTerm of AP (a,d,n) nthtTerm = a + (n-1)* d return nthTerm ·      Calculate the sum of the n terms. Pseudo Code: Sumof AP (a,d,n) Sum = (n/2)*(2*a+(n-1)*d) return sum
Question No. 2Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Marks: 10 for i = 1 to n: for j = 1 to 4 for k =10; k >0 ; k -= 2 print(i , j , k)
·     The outermost loop increments i from 1 to 5. ·     The middle loop, which is inside the outermost loop, increments j from 1 to 3 for each value of i. ·     The innermost loop, which is inside both the outermost and middle loops, decrements k from 10 to 2 with a step size of -2 for each combination of i and j. Solution: From given pseudo code: The outer loop runs from 1 to n The middle loop run 4 times So, The inner loop runs 10 to 1, and decrementing k by 2 in each iteration Outer loop truns n times Middle loop runs 4 times Inner loop runs 10/2 +1 = 6 times Therefore, The total numbers of print statements executed = n*4*6 So, The time complexity (T(n)) is as follows: T(n) = n*4*6 T(n) = 24n Hence, Time complexity of the given code is O(n) |
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