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BCSE204L Design and Analysis of Algorithms (Theory) Winter 2025-26 (F1+TF1) [VL2025260501910]
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The recursive function sum(n) is defined as follows:
\text{sum}(n) =
\begin{cases}
0, & \text{if } n = 0 \\
n + \text{sum}(n-1), & \text{if } n > 0
\end{cases}
How many times is the function sum() called while evaluating sum(6)?
Which of the following are properties of a dynamic programming problem?
A knapsack has a capacity of 20 kg.The following items are available:
| Item | Weight (kg) | Profit |
|---|---|---|
| A | 10 | 60 |
| B | 5 | 30 |
| C | 15 | 45 |
Find the maximum profit using the Fractional Knapsack approach.
In Huffman coding, how are codes assigned to characters?
Find the maximum sum subarray for the given array:
{3, -2, 5, -1, 6, -3, 2}
Dynamic Programming is useful only when subproblems are independent.
In backtracking, a function is used to decide whether a partial solution can lead to a valid complete solution or should be pruned.
The number of distinct ways to place 8 queens on an 8×8 chessboard such that no two queens attack each other (no same row, column, or diagonal).