Scheme Interview Questions and Answers for 10 years experience
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What is the difference between `define` and `lambda` in Scheme?
- Answer: `define` creates a named procedure, binding a name to a piece of code. `lambda` creates an anonymous procedure, a function without a name that can be passed around or used immediately. `define` is for top-level definitions, while `lambda` allows for creating functions within other functions or expressions.
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Explain tail recursion and its importance in Scheme.
- Answer: Tail recursion occurs when a recursive call is the very last operation performed in a function. Scheme interpreters can optimize tail-recursive functions to avoid stack overflow errors, essentially turning recursion into iteration. This is crucial for handling large recursive computations efficiently.
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How does Scheme handle lists? Describe common list operations.
- Answer: Scheme represents lists as linked lists. Common operations include `car` (returns the first element), `cdr` (returns the rest of the list), `cons` (adds an element to the beginning), `append` (concatenates lists), `map` (applies a function to each element), `filter` (selects elements based on a predicate), and `fold` (accumulates a result from the list).
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Describe the concept of continuations in Scheme.
- Answer: Continuations represent the rest of the computation that needs to be performed after a particular point in the program. They capture the execution context, allowing for non-local control flow and features like exceptions and coroutines. Scheme's ability to manipulate continuations directly is a powerful, though potentially complex, feature.
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Explain the difference between `eq?`, `eqv?`, and `equal?`.
- Answer: `eq?` checks for object identity (whether two variables point to the same memory location). `eqv?` checks for equality of simple data types (numbers, characters, symbols) and checks for object identity for other objects. `equal?` performs a deep comparison, checking for structural equality of complex data structures like lists.
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How would you implement a factorial function in Scheme using iteration and recursion?
- Answer: Iterative: (define (factorial-iter n) (let loop ([n n] [acc 1]) (if (= n 0) acc (loop (- n 1) (* n acc))))) Recursive: (define (factorial-rec n) (if (= n 0) 1 (* n (factorial-rec (- n 1)))))
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What are macros in Scheme, and how are they useful?
- Answer: Macros are code transformers. They take code as input and produce modified code as output, extending the language's syntax. They're useful for creating domain-specific languages (DSLs) within Scheme, improving code readability, and implementing new control structures or syntactic sugar.
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Explain the concept of higher-order functions in Scheme and provide examples.
- Answer: Higher-order functions are functions that take other functions as arguments or return functions as results. Examples include `map`, `filter`, and `fold`, which all operate on functions and data.
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How would you implement a function to flatten a nested list in Scheme?
- Answer: (define (flatten lst) (cond ((null? lst) '()) ((pair? (car lst)) (append (flatten (car lst)) (flatten (cdr lst)))) (else (cons (car lst) (flatten (cdr lst))))))
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