What is the time complexity for creating a new node and then performing concatenation in the rope data structure?

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Editor">Editor Staff asked 5 months ago

What is the time complexity for creating a new node and then performing concatenation in the rope data structure?
 
(a) O (log n)
 
(b) O (n!)
 
(c) O (n^2)
 
(d) O (1)
 
This interesting question is from Binary Trees topic in portion Binary Trees of Data Structures & Algorithms I
 
The question was posed to me in an interview for internship.

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Editor">Editor Staff answered 5 months ago

Correct option is (d) O (1)
 
Explanation: In order to perform the concatenation on the rope data structure, one can create two nodes S1 and S2 and then performing the operation in constant time that is the time complexity is O (1).


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