nswer the following questions based on the given pseudocode.1. What will be the time complexity?2. What will be the space complexity?Pseudocode:Response:Question 10 Time taken: 4sQ.10OPTIONS RESPONSE ANSWER1. O(n+p)2. O(n)1. O(n^2)2. O(1)1. O(n+p)2. O(n^2)1. O(n)2. O(n)BEGININTEGER p=5QUEUE qSTACK sIF (Empty(q))RETURNFOR i IN 0 to p-1s.push(q.peek())q.remove()ENDFORWHILE !Empty(s):q.add(s.peek())s.pop()ENDWHILEFOR i IN 0 to SIZE(q)-1q.add(q.peek())q.remove()ENDFORPRINT (q)END12345678910111213141516171819202122
Question
nswer the following questions based on the given pseudocode.1. What will be the time complexity?2. What will be the space complexity?Pseudocode:Response:Question 10 Time taken: 4sQ.10OPTIONS RESPONSE ANSWER1. O(n+p)2. O(n)1. O(n^2)2. O(1)1. O(n+p)2. O(n^2)1. O(n)2. O(n)BEGININTEGER p=5QUEUE qSTACK sIF (Empty(q))RETURNFOR i IN 0 to p-1s.push(q.peek())q.remove()ENDFORWHILE !Empty(s):q.add(s.peek())s.pop()ENDWHILEFOR i IN 0 to SIZE(q)-1q.add(q.peek())q.remove()ENDFORPRINT (q)END12345678910111213141516171819202122
Solution
Based on the given pseudocode, let's analyze the time and space complexity.
- Time Complexity:
- The pseudocode consists of several loops and operations on queues and stacks.
- The first loop from line 9 to line 13 has a time complexity of O(p), where p is the value of the variable p.
- The second loop from line 15 to line 19 has a time complexity of O(p), as it iterates over the stack s.
- The third loop from line 21 to line 25 has a time complexity of O(n), where n is the size of the queue q.
- Therefore, the overall time complexity can be represented as O(p + p + n), which simplifies to O(n + p).
- Space Complexity:
- The pseudocode uses a queue q and a stack s, both of which require additional space to store elements.
- The space complexity is determined by the maximum number of elements stored in the queue and stack throughout the execution of the pseudocode.
- The maximum number of elements in the queue is p, and the maximum number of elements in the stack is also p.
- Therefore, the space complexity can be represented as O(p).
In summary:
- The time complexity is O(n + p).
- The space complexity is O(p).
Similar Questions
Match the following:Time ComplexityAnswer 1CompletenessAnswer 2Accuracy Answer 3Space ComplexityAnswer 4
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