Question
What is the primary advantage of using a stack in
recursive algorithms?Solution
Stacks are crucial in recursive algorithms because they support backtracking by maintaining a history of function calls. Every recursive call is pushed onto the stack, and when a base condition is met, the stack unwinds (pops) the calls in reverse order. This property is integral for problems like solving mazes, tree traversal (DFS), or evaluating expressions. The Last-In-First-Out (LIFO) nature of stacks ensures that the most recent state is resumed first, making them perfect for backtracking scenarios. Why Other Options Are Incorrect · Option 1 (Efficient sorting): Stacks are not inherently used for sorting. Algorithms like Quick Sort and Merge Sort do not directly depend on stacks for sorting efficiency. · Option 2 (Memory allocation for variables): This is managed by the program's runtime stack, not the data structure itself. · Option 4 (Managing concurrent processes): This is more relevant to queues or process schedulers. · Option 5 (Sorting data): Stacks are used in algorithms like stack-based parsing but are not designed for general sorting.
- What will come in the place of question mark (?) in the given expression?
(15 - 19 + 10) ² + ? = 45 X 2 15 × 35 ÷7 + 60% of 300 =?
? = 2640 ÷ {(35% of 1240) – 170}
242 + 18 × 8 – ? = 356
(22² × 8²) ÷ (92.4 ÷ 4.2) =? × 32
3 √(432 – 13 + 9 × 32) = ?
25% of 250 + 32% of 200 = ? ÷ √ 16
17.5% of 400 – 24% of 150 = ?
(25.111 % of 200) × 26 ÷ 12.99 – 18.88 × 15.82 + 150.33% of 3√ 4917 = ? – 200
...{(522 – 482 ) ÷ (27 + 73)} × 35 = ?% of 17