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- 2. (20) Arrange the following functions in increasing order of big O, i.e., a function in your list must be big O of the next function. Give all justifications. nyn, 23 log log n, (log n)2, 2(log n), Vn3.1,nlcos nl, nlog n 2n, 3", n! to0)Write a C++ function, bool ok(int q[]), which takes an array q and returns true if the array represents a valid configuration of the eight queens and returns false otherwise.a) Given the following non-tail recursive function for determining whether a given number is even or not: (ns core-clj.core (:gen-class)) (defn even-num? [n] (if (= n 0) true (not (even-num? (dec n))))) (defn -main [] (println) (even-num? 8))) Rewrite the above clojure function (even-num?) so it can enforce the TCO condition: (b) Use the built-in higher ordered functions like (filter, map, take or reduce) to filter out the first three even numbers in given list like (4 7 9 6 19 8 21). Note: you need to call the even-num? function given in (a).
- In C program, Implement intArray_remove( intArray_t* ia, unsigned int indexToBeRemoved ) and intArray_append( intArray_t* ia, int newElement ) function below. All the information is given. /* * dataStructure.h * * Provides a bound-checked data structure made of an array of integers * in which duplicated elements are allowed. * * The interface of this data structure includes several utility * functions that operate on this array of integers as well as * file i/o functions: saving into and loading from json files. * * Do not change this dataStructure.h file. * * Author: RV + AL * Modified Date: July 2022 */ /* Data structure of "intArray_t" type that encapsulates our array of integers. */typedef struct { int* data; unsigned int size; unsigned int elementCount;} intArray_t; /* A type for returning status codes */typedef enum { INTARR_OK, INTARR_ERROR, INTARR_BADPARAM, INTARR_NOTFOUND} intArrayResult_t; /* * dataStructure.c * * Provides a bound-checked data structure made of…Let f,g:Z+⟶R, and f(n)=nlog2(n) forn∈Z+. For which function g(n)below is f∉O(g)def longest_unique_substring(s: str) -> str:"""Given a string <s>, return the longest unique substring that occurs within<s>.A unique substring is a substring within <s> which DOES NOT have anyrepeating characters. As an example, "xd" is unique but "xxd" is not.If there are two equal length unique substrings within <s>, return the onethat starts first (i.e., begins at a smaller index).tips:In order to get your function to run fast, consider using a dictionary tostore the indexes of previously seen characters, from there, you canfollow a set of rules based on each new character you see to determinethe length of the longest unique substring seen so far.>>> longest_unique_substring('aab')'ab' >>> longest_unique_substring('abcabcbb')'abc'"""
- def longest_unique_substring(s: str) -> str:"""Given a string <s>, return the longest unique substring that occurs within<s>.A unique substring is a substring within <s> which DOES NOT have anyrepeating characters. As an example, "xd" is unique but "xxd" is not.If there are two equal length unique substrings within <s>, return the onethat starts first (i.e., begins at a smaller index).tips:In order to get your function to run fast, consider using a dictionary tostore the indexes of previously seen characters, from there, you canfollow a set of rules based on each new character you see to determinethe length of the longest unique substring seen so far.>>> longest_unique_substring('aab')'ab' >>> longest_unique_substring('abcabcbb')'abc'""" RESTRICTIONS: - Do not add any imports and do it on python .Do not use recursion. Do not use break/continue.Do not use try-except statements.def longest_unique_substring(s: str) -> str:"""Given a string <s>, return the longest unique substring that occurs within<s>.A unique substring is a substring within <s> which DOES NOT have anyrepeating characters. As an example, "xd" is unique but "xxd" is not.If there are two equal length unique substrings within <s>, return the onethat starts first (i.e., begins at a smaller index).tips:In order to get your function to run fast, consider using a dictionary tostore the indexes of previously seen characters, from there, you canfollow a set of rules based on each new character you see to determinethe length of the longest unique substring seen so far.>>> longest_unique_substring('aab')'ab'""" RESTRICTIONS: - Do not add any imports and do it on python .Do not use recursion. Do not use break/continue.Do not use try-except statements.A triple (x, y, z) of positive integers is pythagorean if x2 + y2 = z2. Using the functions studied in class, define a function pyth which returns the list of all pythagorean triples whose components are at most a given limit. For example, function call pyth(10) should return [(3, 4, 5), (4, 3, 5), (6, 8, 10), (8, 6, 10)]. [Hint: One way to do this is to construct a list of all triples (use unfold to create a list of integers, and then a for-comprehension to create a list of all triples), and then select the pythagorean ones. def unfold[A, S](z: S)(f: S => Option[(A, S)]): LazyList[A] = f(z) match { case Some((h, s)) => h #:: unfold(s)(f) case None => LazyList() } code in scala
- You are to complete a partial program incorporating a function DelOddCopEven that is to delete all odd-valued nodes and copy each even-valued node of a given list: ● The original order in which the remaining (even-valued) nodes must be preserved, with each original node and its duplicate appearing together. Algorithm should: ○ NOT destroy any of the originally even-valued node. ♯ This means that the originally even-valued nodes should be retained as part of the resulting list. ○ Destroy ONLY nodes that are originally odd-valued. ○ Create new nodes and copy data between nodes ONLY when duplicating originally even-valued nodes. ♯ Only ONE new node should be created for each originally even-valued node. ♯ Creating pointer-to-node's (to provide temporary storage for node addresses) does not constitute creating new nodes or copying of items. ○ NOT make any temporary copies of any of…You are to complete a partial program incorporating a function DelOddCopEven that is to delete all odd-valued nodes and copy each even-valued node of a given list: ● The original order in which the remaining (even-valued) nodes must be preserved, with each original node and its duplicate appearing together. Algorithm should: ○ NOT destroy any of the originally even-valued node. ♯ This means that the originally even-valued nodes should be retained as part of the resulting list. ○ Destroy ONLY nodes that are originally odd-valued. ○ Create new nodes and copy data between nodes ONLY when duplicating originally even-valued nodes. ♯ Only ONE new node should be created for each originally even-valued node. ♯ Creating pointer-to-node's (to provide temporary storage for node addresses) does not constitute creating new nodes or copying of items. ○ NOT make any temporary copies of any of the…You are to complete a partial program incorporating a function DelOddCopEven that is to delete all odd-valued nodes and copy each even-valued node of a given list: ● The original order in which the remaining (even-valued) nodes must be preserved, with each original node and its duplicate appearing together. Algorithm should: ○ NOT destroy any of the originally even-valued node. ♯ This means that the originally even-valued nodes should be retained as part of the resulting list. ○ Destroy ONLY nodes that are originally odd-valued. ○ Create new nodes and copy data between nodes ONLY when duplicating originally even-valued nodes. ♯ Only ONE new node should be created for each originally even-valued node. ♯ Creating pointer-to-node's (to provide temporary storage for node addresses) does not constitute creating new nodes or copying of items. ○ NOT make any temporary copies of any of…