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Advanced Algorithms · End Term · 1 Sept 2024 · May 2024 term · Set QDB1

Question 11: Our approach will be to building a DP table of the same …

Question 11

+2 marksOne correct option

Our approach will be to building a DP table of the same length as the array of disks. Let did_i denote the ithi^{th} disk in the input array.

The value of DP[i]\text{DP}[i] will be the height of the tallest tower that can be created with did_i the bottom. We initialize the value of DP[i]\text{DP}[i] the height of did_i.

Consider the following approach. We process the DP array in increasing order of indices (i.e, i=1i = 1 to i=Ni = N). We look at all disks djd_j where j<ij < i and djd_j can be placed on top of did_i. If djd_j can be placed on top of did_i, then DP[i]\text{DP}[i] is updated to be the maximum of DP[i]\text{DP}[i] and DP[j]+H\text{DP}[j] + H, where HH is the height of the disk did_i. What can you say about this approach?

  1. A

    This approach is correct.

  2. B

    This approach is incorrect, because we might miss some disks that can be placed on top of di,as the given array may not be sorted by height.

  3. C

    This approach is incorrect because the values we are looking up may not be computed correctly when we need them.

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Correct answer

  • B

    This approach is incorrect, because we might miss some disks that can be placed on top of di,as the given array may not be sorted by height.

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Question 11 of 53 in the IIT Madras BS Advanced Algorithms (Advanced Algorithms) End Term paper sat on 1 Sept 2024, in the May 2024 term (IIT M DEGREE AN EXAM QDB3 01 Sep 2024). It carries 2 marks.

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