1. Earlier, GATE CS Result has been released! Please provide the complete code for us to analyze and provide an answer. Which of the following is correct matching? t0 = i 1024 t1 = j 32 t2 = k 4 t3 = t1 + t0 t4 . 07: End Function, Question 2: Implementing a Recursive Function .Write recursive function, recursionprob(n), which takes a positive number as its argument and returns the output as shown below. } Browse other questions tagged, Where developers & technologists share private knowledge with coworkers, Reach developers & technologists worldwide. So you have n+n=2n and not n2 even in the worst case. .A positive integer is a serene number if and only if the sum of the numbers proper divisors equals the number. Can you explain this answer? 2) Automatic garbage collection is essential to implement recursion A: Actually, function is a group of statements. Enter a positive number or enter/return to quit: 2 The program's estimate is 1.4142135623746899 Python's estimate is 1.4142135623730951 Enter a positive number or enter/return to quit, Restructure Newton's method (Case Study: Approximating Square Roots) by decomposing it into three cooperating functions:newton,limitReached, andimproveEstimate. (iii) Queue, Which of the following statements are CORRECT? return function (y, x%y); Which of the following is correct post order traversal? Write Iterate, A: Array: A data object contained in contiguous memory locations is referred to as an array. And here the for loop takes n/2 since we're increasing by 2, and the recursion takes n/5 and since the for loop is called recursively, therefore, the time complexity is in. int midterm(int array[], int n, int x) { Preorder ABCEIFJDGHKL Thanks. Ways to find a safe route on flooded roads. Consider the following function. Besides giving the explanation of A: Due to the guidelines and time allotted to us, I can make only one program. We reviewed their content and use your feedback to keep the quality high. Let's move on to the code in the next step. What is the return value of the function rer when it is called as rer (513, 2)? printf(something); Site design / logo 2023 Stack Exchange Inc; user contributions licensed under CC BY-SA. And, O(n/5) = O(n) ). In the array. Download more important topics, notes, lectures and mock test series for Computer Science Engineering (CSE) Exam by signing up for free. Can you explain this answer?, a detailed solution for Consider the following C function:int f(int n){static int i = 1;if(n >= 5) return n;n = n+i; i++;return f(n);}The value returned by f(1) isa)5b)6c)7d)8Correct answer is option 'C'. I recently failed an interview question (and by extend the interview) that has to do with analyzing the time and space complexity of a recursive fibonacci function. Consider the following C function: C int f (int n) { static int i = 1; if (n >= 5) return n; n = n+i; i++; return f (n); } The value returned by f (1) is (A) 5 (B) 6 (C) 7 (D) 8 Answer: (C) Explanation: See Question 3 of http://www.geeksforgeeks.org/c-language-set-2/ Quiz of this Question rev2023.6.2.43474. (D) Read n integers in an array A. static int i = 50; Candidates mustcarry a GATE CS Admit card with them in the exam centre which is available from 9th January 2023. Please write comments if you find any of the answers/explanations incorrect, or you want to share more information about the topics discussed above. before calling the function so its O(log(n))(base 5), often called logarithmic and most often Big O notation and complexity analysis uses base 2. function convert($value, $unit) {if($value >= 0) { if($unit == "kg") {, A: Given: if (x<1) return 1; 576), AI/ML Tool examples part 3 - Title-Drafting Assistant, We are graduating the updated button styling for vote arrows. To subscribe to this RSS feed, copy and paste this URL into your RSS reader. ptrdata' is a pointer to a data type. Read n numbers and store them in an array named a A gap between two numbers is the absolutevalue of their difference. else return ( f(x-1) + g(x/2)); int element(int arr[], int num) One of the best ways I find for approximating the complexity of the recursive algorithm is drawing the recursion tree. ample number of questions to practice Consider the following C function:int f(int n){static int i = 1;if(n >= 5) return n;n = n+i; i++;return f(n);}The value returned by f(1) isa)5b)6c)7d)8Correct answer is option 'C'. Reference count Consider the PreviousDate() function. So the value of expression x^4 becomes 9^4 which is 6561. List II { c.This part provides you with an opportunity to demonstrate your understanding of the problem-solving approach taught in TM112 and Python functions. Write the sub-functions in the provided test case in text form and upload the same. Would love to hear feedback on this. int f (int j) { static int i = 50; int k; if (i == j) { printf ("something"); k = f (i); return 0; } else return 0; } Which one of the following is TRUE? 24 Colour composition of Bromine during diffusion? Choose the correct answer from the options given below: Consider the traversal of a tree 11, 10, 01, 001, 0001, 0000 28 is a serene number because 1 + 2 + 4 + 7 + 14 = 28 @BenForsrup: It will be 3^n because every node will have three child nodes. #if n is, A: Please refer below for your reference: int, A: Error will come due to the only, { Int function (int x, int y) { Don't have to recite korbanot at mincha? (IV) If (y <= 0) return x; Consider the following ANSI C function: Read m integers in anarray B. The function will exhaust the runtime stack or run into an infinite loop when j = 50. { How can I find the time complexity of an algorithm? By using our site, you You will be notified via email once the article is available for improvement. printf("\n\n%d of %d\n\n", num, f); Mechanism that enables designer to focus on essential details of a program component. static int I = 0; for(int j = i+1; j < n; j++) { if(arr[j] < arr[indexOfMin]) { indexOfMin = j; }. Assembler Suppose you have written the following function. I know how to solve simple cases, but I am still trying to learn how to solve these harder cases. (IV) for example. y=arr.array("i",[20,30,50,60]) 1) Static allocation of all data areas by a compiler makes it impossible to implement recursion. See the difference between your function and this (this is in O(n2) time complexity) -. else return f(x/2 + 1.5/x); Stores the squares of all integers from 1 to N in the array. int f(int n) { //function declaration if ((a >= b) && (c, A: Explanation: - Please, Determining complexity for recursive functions (Big O notation), Master theorem for analysis of algorithms, Complexity of factorial recursive algorithm. 1) The preorder traversal sequence of a binary search tree is 30, 20, 10, 15, 25, 23, 39, 35, 42. It should be approximated to n, For the third function, since n is being divided by 5 on every recursive call, length of recursive tree will be log(n)(base 5), and number of leaf nodes again 1 so complexity will be log(n)(base 5) * 1 = log(n)(base 5). else return 0; (iii) Queue, Which of the following statements are CORRECT? Here the number of children per node is C = 2, whilst L = n. Complexity of the rest of function is O(1). // Function that return average of an, A: #include Making statements based on opinion; back them up with references or personal experience. if ( (x== 1) I I (y == 1)) return 1; Rewrite n = 5q + r where q and r are integer and r = 0, 1, 2, 3, 4, We have q = (n - r) / 5, and since r < 5, we can consider it a constant, so q = O(n), Since r < 4, we can find some constant b so that b >= T(r). If the function is called using my_func(5), what will the function return? What is the purpose of the function f? Which one of the following is the postorder traversal sequence of the same tree? 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I'm not entirely sure the Big O complexity of this. Get Instant Access to 1000+ FREE Docs, Videos & Tests, Select a course to view your unattempted tests. In, A: In this Array of integer, That is, after }Show how to call the change function so, A: Here in sum() function we are adding variable a and b and store its result in variable total. C. Recursion is not useful for branching processes. The condition num! System.out.Rrintln(p); Can you explain this answer? (D) function salesTax(price, rate) { let tax =, A: The method float compute(int value1, int value2) has a return type of float and therefore it must, A: Hi. if (n > 0) return (n%r + rer (n/r, r)); return(integer*(myFactorial(integer-1); A positive integers proper divisor satisfies 3 conditions: The outer for loop . ++I; Consider the hash table of size 11 that uses open addressing with linear probing. class ArrayList : public List { int* array; int index; int capacity; void dyn_all_add(){ int cap = ceil(capacity * 1.5); array = (int*)realloc(array,cap * sizeof(int)); capacity = cap; } int c=a+b; You will need an individual number in order to answer this question part. By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. int f(int j) So, the inner loop runs at most n times. Mechanism that enables designer to focus on essential details of a program component. usual method of expanding it to find a pattern. else Please do explain and describe in details all possible answers for this function given below. The value returned by SomeFunction(15, 255) is _______. MTG: Who is responsible for applying triggered ability effects, and what is the limit in time to claim that effect? Since you never initialize j again once j=n the inner while loop will never iterate. To identify and retrieve elements from any data structure, search algorithms are, A: NOTE: Either your GetHashIndex() function is incomplete or this is a very easy question. 06: End If public: // CONSTRUCTOR ArrayList() { capacity = 4; array = (int*)malloc(capacity); index = 0; } Write and test a function that returns true if its parameter is a serene number and false if its parameter is not. The, A: Note: Since programming langauge is not mentioned. return (i) ; = 0) where is the source of truth for the formula that you share here? The number of nodes of height h in any n-element heap is atmost: How many rotations are required during the construction of an AVL tree if the following elements are to be added in the given sequence? Localization GATE CSE 2014 Set 2 | Question: 34. Perform the following steps with pen and paper you should not write code for these steps: 2003-2023 Chegg Inc. All rights reserved. #include #include int cmpfunc (const void * a, const void * b) { return ( *(int*)a - *(int*)b ); } int insert_function(int *data, int n, int p, int x) { /* input data: array, n: size of array, p: position of insertion, x: element to insert*/ /*output:-1 indication error or 0 if successful /* write the function for inserting element into a position*/ } int delete_function(int *data, int n, int p, int x) { /* input data: array, n: size of array, p: position of deletion, x: element to deletion*/ /*output:-1 indication error or 0 if successful /* write the function for delete element into a position*/ } int linear_search_function(int *data, int n, int x) { /*write the function to. (I) printf("%d",p); } Choose the correct answer from the options given below: Consider the traversal of a tree We have to check if the array of length is 1 or more than 1 To learn more, see our tips on writing great answers. The solution should clearly write the steps as shown in an example in slide number 59 and slide number 60 in lecture slides. When the recursive run 2 times, the loop is also run 2 times, so it takes 2m and so on. Further examples can be found in Block 2 Part 4. Track your progress, build streaks, highlight & save important lessons and more! }, 6. Consider the function f below. So, for instance, if your Open, Restructure Newton's method (Case Study: Approximating Square Roots) by decomposing it into three cooperating functions. 2 is less than the positive integer It is also useful to write the parameter passed to the sub-call as "value of the node". 0, 10, 110, 1110, 11110, 11111 To find the minimum number between a, b, and c. #include The newton function can use either the recursive strategy of Project 2 or the iterative strategy of the Approximating Square Roots Case Study. int get(int pos){ if (pos-1 < index){ return *(array + pos-1); } return -1; } int size(){ return index; }, Read in two integers n and m (n, m < 50). Defining the function void calc(), A: NOTE: - void sortDescending(int*, int); A: here have to give output of python code. GATE CS exam was conducted on 4th February 2023 in the Forenoon session from 9:30 am to 12:30 pm. List II Consider the following C function:int f(int n){static int i = 1;if(n & Static i is not created every time you call the function. answer is 7.as, f (1):n=2,i=2 f (2):n=4,i=3 f (4):n=7,i=4 The statement increases value of k by n/2. the j loop only runs once, hence the single pass O(n).. minor nitpick: it should read the time complexity is. in i, ele; Why is this screw on the wing of DASH-8 Q400 sticking out, is it safe? (A) None(B) 2 only(C) 3 and 4 only(D) 4 only. Ltd.: All rights reserved, Which of the following properties of the recursive function is/are correct? int fun1 (int n) { int g (int x) For No.4, even though the result is the same, shouldn't the induction be the following? A-143, 9th Floor, Sovereign Corporate Tower, Sector-136, Noida, Uttar Pradesh - 201305, We use cookies to ensure you have the best browsing experience on our website. Then do the following (write separate programs for each, only the reading part iscommon).a) Find if there are any two elements x, y in A and an element z in B, such that x + y = z.b) Copy in another array C all elements that are in both A and B (intersection).c) Copy in another array C all elements that are in either A and B (union).d) Copy in another array C all elements that are in A but not in B (difference).c programm please tell all the answer. The number of nodes of height h in any n-element heap is atmost: How many rotations are required during the construction of an AVL tree if the following elements are to be added in the given sequence? Consider the following C code segment Get the three double values and then get the product of, ASSIGNMENT #include Prints out all N values of the array. } When the function below is called, the ________ of the actual parameters is passed to the function definition. int f(int j) } Location counter the entire array is sorted? Consider the following function: int rec(int array[], int n) { int p; if (n < 0) if (array[n] < return 0; 0) return 10; else { System.out.println(array[n]); array[n] + rec (array,n-2); System.out.println(p); p = return p; } } A. else return ( f{x-1) + g(x) ); Each function expects the relevant arguments and returns an appropriate value. Each function expects the relevant arguments and returns an appropriate value. int main() Which one of the following is the postorder traversal sequence of the same tree? 35, 50, 40, 25, 30, 60, 78, 20, 28. printf("element of array is %d", element(arr[], n)); The call being made to recurse(num +1) in else statement is missing the semi-colon. (a) What is the asymptotic value of f(n)? So at maximum (it could be less depending on the second condition arr[i] < arr[j]) you have n iterations of inner while loop once. Therefore total complexity is L * O(1) = (n+1) * O(1) = O(n), Again C = 1, but L = n/5. Start your trial now! printf("/n"); Of the following, which is NOT a logical error? Would the presence of superhumans necessarily lead to giving them authority? } for(; i> recursionprob(1) 1 >> recursionprob(2) 1 4 >> recursionprob(3) 1 4 9 >>recrusionprob(4) 1 4 9 16, 3. First week only $4.99! GATE Computer Science Engineering(CSE) 2023 Mock Test Series, Crash Course: Computer Science Engineering (CSE), Question Bank for GATE Computer Science Engineering. a) Explain why f is in fact a sorting algorithm. Site design / logo 2023 Stack Exchange Inc; user contributions licensed under CC BY-SA. Therefore answering the question in C. What is the return value of the function rer when it is called as rer (513, 2)? int p; elements 1 through n-1, how does the code after that ensure that The algorithm ______ the array LA. Assume that p and q are non-zero positive integers, the following program segment will perform - Complexity of the rest of function is O(1). 3. Asking for help, clarification, or responding to other answers. What is printed? Suppose the letters a,b,c,d,e,f have probabilities of 1/2, 1/4, 1/8, 1/16, 1/32, 1/32 respectively. Noise cancels but variance sums - contradiction? By using our site, you Program4: { System.outRrintln(rec (arr,8)); (C) int k; So the value of k becomes n/2*(nLogn) which is (n^2Logn), 4) The number of elements that can be sorted in (logn) time using heap sort is(A) (1)(B) (sqrt(logn))(C) (Log n/(Log Log n))(d) (Log n), Answer (C)Time complexity of Heap Sort is (mLogm) for m input elements. What is printed? B. Recursion is effective where terms are generated successively to compute a value Find Relatively Prime Write a function to return a number that is relatively prime with the given number. rev2023.6.2.43474. We will consider the case n >= 0 in the part below. You can suggest the changes for now and it will be under the articles discussion tab. Implement the sortAscending Function #storingarray element in y, A: #include The candidates should have BTech (Computer Science). Copyright 2014-2022 Testbook Edu Solutions Pvt. int[] arr = a=a+1; An example of the program input and output is shown below: } Answer (B)Since c is passed by value and x is passed by reference, all functions will have same copy of x, but different copies of c. f(5, 5) = f(x, 4)*x = f(x, 3)*x*x = f(x, 2)*x*x*x = f(x, 1)*x*x*x*x = 1*x*x*x*x = x^4. Then do the following (write separate programs for each, only the reading part iscommon).a) Find if there are any two elements x, y in A and an element z in B, such that x + y = z.b) Copy in another array C all elements that are in both A and B (intersection).c) Copy in another array C all . main() However, we could also compute f(n) using dynamic programming or memoization. How to obtain your individual number Browse other questions tagged, Where developers & technologists share private knowledge with coworkers, Reach developers & technologists worldwide. I have a Computer Science Midterm tomorrow and I need help determining the complexity of these recursive functions. Can you explain this answer? } importarrayasarr Program in C Not the answer you're looking for? Program3: Assuming that the base address of array starts from 1000 and an integer takes 4 Bytes. (a) Recursion fun2 (n-1) ; I have a question on the fourth function. Consider the following function. 145 } (c) sorting By clicking Post Your Answer, you agree to our terms of service and acknowledge that you have read and understand our privacy policy and code of conduct. return 0; Here, it's O(2^n), or exponential, since each function call calls itself twice unless it has been recursed n times. (I) Read m integers in anarray B. Consider the following function so I'd try to clarify to the best of my knowledge. Write recursive function, recursionprob(n), which takes a positive number as its argument and returns the output as shown below. A: Code: A: - We uave to have a python code with the provided function. Linking Loader int rec (int array[], int n) { Identify the last three numerical digits that occur in your PI. The characters to be replaced are supplied in array oldc, while their respective replacement characters are supplied in array newc. ele = arr[0]; What is printed? { int p = 5; printf("%d", f (p, p)); } 1) The preorder traversal sequence of a binary search tree is 30, 20, 10, 15, 25, 23, 39, 35, 42. You should find your individual number as shown below before you start the question itself. To find the middle number between a, b, and c.c. *p = 20; This function is log(n) base 5, for every time we divide by 5 Activation record How does it differ from polynomial time? {60, 40, -20, 50, 90, 80, 30, 10, 70}; Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan. @KokHowTeh, I'll give it another try. 110, 100, 010, 000, 001, 111 int n = sizeof(arr)/sizeof(arr[0]); return 0;} Of the following, which best describes the growth of f(x) as a function of x ? Can you explain this answer? int k; So the statement "k = k + n/2;" runs (nLogn) times. int SomeFunction (int x, int y) } Connect and share knowledge within a single location that is structured and easy to search. -101 } Assuming that the base address of array starts from 1000 and an integer takes 4 Bytes. Which one of the following is TRUE? T(n) = a + 2T(n-1) = a + 2a + 4T(n-1) = 3a + 4a + 8T(n-1) = a * (2^n - 1) + 2^n * T(0) = a * (2^n - 1) + b * 2^n = (a + b) * 2^n - a = O(2^n). Just do numbers 5-7 Neural Network Units Implement a single sigmoid neural network unit with weights of [-1.2, -1.1, 3.3, -2.1] Calculate the outputs for two training examples:Example 1: [0.9, 10.0, 3.1, 1]Example 2: [0.9, 2.1, 3.7, 1] Note that you don't have to explicitly include a threshold or bias since the examples include a last element of 1 which means . Not the answer you're looking for? List I Complexity of the rest of function is O(n). None of the other statements. import array asarr (Actually called order of n/5 times. scanElements(arr, n); sortAscending(arr, n); { Read array size n How could a person make a concoction smooth enough to drink and inject without access to a blender? Can anyone explain? C++ Programming: From Problem Analysis to Program Design. if( abs(x*x 3) < 0.01) return x; Inorder EICFJBGDKHLA Hint: You'll have two else int[] arx {60, 40, 20, 50, 90, 80, 30, 10}; System.outprintln(rec (arr,7)); B. (c) sorting You can suggest the changes for now and it will be under the articles discussion tab. (b) Scheduling Consider the following program: #include <iostream> #include <string> using namespace std; int main () { string str = "This*is^a.45min test."; int i; for (i = 0; i < str.length( ); i++) { if (ispunct(str[i])) str[i] = ' '; // a blank str[i] = tolower (str[i]); } cout << str; } What is printed by the last line of the code ? Thanks. A-143, 9th Floor, Sovereign Corporate Tower, Sector-136, Noida, Uttar Pradesh - 201305, We use cookies to ensure you have the best browsing experience on our website. (I) A: here in given question ask for c++ program. Of the following, which is NOT a logical error? Calculating the complexity of the function, Calculating Big O complexity of Recursive Algorithms, Speed up strlen using SWAR in x86-64 assembly. (Assume that the second. Ltd.: All rights reserved, Which of the following properties of the recursive function is/are correct? Since x is incremented in every function call, it becomes 9 after f(x, 2) call. int gcd_helper(int x,int y){ if(y==0) return x; else return, A: - We need to highlight the code for the provided scenario of finding the sum and average of the, A: a. (D) 5. For m = (Log n/(Log Log n)), the value of (m * Logm) will be ( [Log n/(Log Log n)] * [Log (Log n/(Log Log n))] ) which will be ( [Log n/(Log Log n)] * [ Log Log n - Log Log Log n] ) which is (Log n), 5) The procedure given below is required to find and replace certain characters inside an input character string supplied in array A. a. else { c=c+1; In C, what are the various types of real data type (floating point data type)? Activation record The absolute value function abs is located in the ________ library. Now use the below logic to solve the, A: Theseprogramscan be asked from control statements, array, string, oops etc. Javabasicprograms, A: The objective is to write program code to read a two-dimensional array (A), and assign values to an, A: Note: As you have asked the multipart question, as per our policy we will solve the first three, A: Step-1: Start Living room light switches do not work during warm/hot weather. Is there liablility if Alice scares Bob and Bob damages something? (A) Only one(B) Only two(C) Only three(D) All four. { Following questions have been asked in GATE CS 2013 exam. return c; nums[i]=x; We are given python code in which array operations are executed. Values from the, A: The function called findLargestIndex is used to find the index of a row whose all element sums are. (b) Scheduling Study with Quizlet and memorize flashcards containing terms like A definition in which something is defined in terms of a smaller version of itself is called a(n) ____ definition., A function is called ____ if it calls itself., A recursive function in which the last statement executed is the recursive call is called a(n) ____ recursive function. Step-2: function isSpecialArray(array) Read n integers in an array A. three_mats function, A: The function isrectand it is accepting two parameters length and width and returns perimeter and, A: Here is the approach for the first part int f(int &a,int b) { Reference count Finish the function implement only. Design a method with one argument as a string. using namespace std; void swap(int*, int*);void scanElements(int*, int);void printElements(int*, int);void sortAscending(int*, int); (A) Function Output: >> recursionprob(1) 1 >> recursionprob(2) 1 4 >> recursionprob(3) 1 4 9 >>recrusionprob(4) 1 4 9 16. else return 0; due to Asymptotic behavior and worst-case scenario considerations or the upper bound that big O is striving for, we are only interested in the largest term so O(n^2). Int function (int x, int y) { Candidates must check their performance with the help of the GATE CS mock testsand GATE CS previous year papersfor the GATE 2024 Exam. A sequence of records with keys 43, 36, 92, 87, 11, 47, 11, 13, 14 is inserted into an initially empty hash table, the bins of which are indexed from 0 to 10. else return ( f{x-1) + g(x) ); (C) 4. } (A) Packaging or binding of a collection ofitems If the tester carries out this testing with the four test cases given above, how many test cases will be able to capture the flaw? If (y <= 0) return x; A: // As no language is mentioned, we write the code in C++ language. printf("%d",p); Consider the following C function:int f(int n){static int i = 1;if(n >= 5) return n;n = n+i; i++;return f(n);}The value returned by f(1) isa)5b)6c)7d)8Correct answer is option 'C'. In This doesn't happen in test cases (1) and (2), it happens only in cases (3) and (4). int num = 7, c; List I To get the remaining. Define functionmultiplierSum(n) which prints the sum of all multipliers of a. (III) if (x == y) return x; However, we could also compute f (n) using dynamic programming or The function, f(x, y, z) is used to calculate and return the value of p which based is based. k = f(i); IISc, Bangalore will released official notification for GATE CS 2024 exam. An example where this doesn't work: Making a min heap takes O(n) time, but it has O(n/2) leaves and O(log(n)) height. In your function the variable j is not initialized for each value of variable i. p; The solution should clearly write the steps as shown in an example in slide number 59 and slide number 60 in lecture slides. Edit 1-From j=0 to j=n is maximum n iterations of inner while loop. 3) Dynamic allocation of activation records is essential to implement recursion else return f(x/2 + 1.5/x); #include, A: Code: Candidates preparing for the exam can refer to the GATE CS Important Questions to improve their preparation. Write a function that returns an integer that appears most often with respect to an array of integers return (i) ; The value returned by SomeFunction(15, 255) is _______. 2. Every recursive function must have a valid terminating base, A: Actually, function is a group of statements. If you don't want to go through the analysis every time, there is a black box technique called the Master method. Is it possible? There are many more serene numbers. { Show your box trace. Imported array as arr and, A: //declaring an integer pointer variable, and an integer variable Given the list of tasks in Col-A and list of data structure in Col-2) Identify the best match The algorithm that is used here is called bubble sort,, A: Algorithm: int m,n; Therefore total complexity is L * O(1) = (n/5) * O(1) = O(n), Hence C = 1, L = log(n). Let h(k) = k mod 11 be the hash function. This function is called n-5 for each time, so we deduct five from n before calling the function, but n-5 is also O(n). Thus first we need to make, A: //note: since programming language is not specified we are providing answer in cpp Let h(k) = k mod 11 be the hash function. Subroutine Call (C) Program 5: } double sqrt (double value); 6.0. { Therefore total complexity is L * O(1) = (n/5) * O(n) = O(n^2). if (x > y) return SomeFunction(x - y, y); int g (int x) The key here is to visualise the call tree. Consider following algorithm - }, ISRO Scientist Computer Science Mock Test 2021-22. A: The given code is used for sorting an array int arr[n]; int f (int x) B. To describe 5 : O(f(n)) = T(n/2) T((n-5)/2) T((n-10)/2)1 so the height of the tree would be n/5. if(aj=1 aj=0) @Shubham: #4 doesn't seem right to me. Consider the following recursive C function that takes two arguments a=a+1; Is there anything called Shallow Learning? (B) Consider following algorithm - (A) 2. void printElements(int *arr, int n) { for(int i = 0; i < n; i++) { printf("%d ", arr[i]); } Assembler a=a+1; if ((a>b)&&(a<=c)) Information hiding return the last index is fine. donnez-moi or me donner? (A) List II Can you explain this answer? The task of testing for the limit is assigned to a function namedlimitReached, whereas the task of computing a new approximation is assigned to a function namedimproveEstimate. Best way to be sure about this is to draw the recursive tree yourselves with dummy values. Define two functions as print_array and, A: 1. { static int i = 1; if (n >= 5) return n; n = n+i; i++; return f (n); } The value returned by f (1) is a) 5 b) 6 c) 7 d) 8 Correct answer is option 'C'. using namespace std;int digit(int n ,int k){ int i=n; int x = n, c =, A: Python programming language is the high-level interpreted programming language, It's also used to, A: Searching In C++ The answer given is: variable j is not initialized for each value of variable i, so time complexity is O(n). (ii) stack Recall that a and n are relatively prime means that gcd(a,n)=1, i.e., theirgreatest common divisor is 1. in English & in Hindi are available as part of our courses for Computer Science Engineering (CSE). Subroutine Call Write down your PI (H5737055). Please show how is the Huffman tree, so that you can determine one of the options below. initially sorted in descending order. return 1; IN C++ } } Consider the following recursive function. Match List I with List II: } Repeat for K = LB to UB apply PROCESS to LA [K] What is the result after execution of the following code if 'a' is 10, 'b' is 5 and 'c' is 10? Note: Although gcd(n,n-1)=1, we don't want to return n-1*/int RelativelyPrime (int n) This time we use the full formula for the number of nodes in the call tree because C > 1. How to define your own functions is introduced in Block 2 Part 4 Section 4.1.3. } Thenewtonfunction can use either the recursive strategy of Project 2 or the iterative strategy of the Approximating Square Roots Case Study. } (A) 2(B) 3(C) 4(D) 5Answer: (B)Explanation: Look at the recursion stack of the given code in the below image. Start your trial now! #include else return 0; What is the result after execution of the following code if 'a' is 10, 'b' is 5 and 'c' is 10? (b) What is the asymptotic time complexity of the recursive computation of f(n)? By using our site, you } Calculate the time complexity of the following function. theory, EduRev gives you an Correct answer is option 'C'. Also, why is the base case correct and tests, examples and also practice Computer Science Engineering (CSE) tests. 300 int f(int n) { if ((a >= b) && (c < b)) return b; else if (a >= b) return f(a, c, b); else return f(b, a, c); } a. Excellent answer! acknowledge that you have read and understood our, Data Structure & Algorithm Classes (Live), Data Structures & Algorithms in JavaScript, Data Structure & Algorithm-Self Paced(C++/JAVA), Full Stack Development with React & Node JS(Live), Android App Development with Kotlin(Live), Python Backend Development with Django(Live), DevOps Engineering - Planning to Production, GATE CS Original Papers and Official Keys, ISRO CS Original Papers and Official Keys, ISRO CS Syllabus for Scientist/Engineer Exam, Interview Preparation For Software Developers, http://www.geeksforgeeks.org/c-language-set-2/. A: Increasing order 3 time pic the value in the array and for that code is below step. printf("\t\t\t\t"); A Give a value q (to 2 decimals) such that f(q) will return q:_____. Since you never initialize j again once j=n the inner while loop will never iterate. Building a safer community: Announcing our new Code of Conduct, Balancing a PhD program with a startup career (Ep. System.out.println(array[n]); float x = 36.0; Read n integers in an array A. Note: max(x,y) returns the maximum of x and y. #include. The given information is: Calculating the total run time, the for loop runs n/2 times for every time we call the recursive function. Truth for the formula that you can suggest the changes for now and it will be the. Us to analyze and provide an answer triggered ability effects, and c.c for improvement ;. Of DASH-8 Q400 sticking out, is it safe function ( y, x % y returns... As its argument and returns the maximum of x and y, C nums.: 1 hash table of size 11 that uses open addressing with linear probing RSS! Loop runs at most n times the Master method and time allotted to us, I 'll give another!, ISRO Scientist Computer Science Mock test 2021-22 down your PI ( H5737055 ) proper divisors equals the number recursive! Output as shown in an array int arr [ n ] ) ; Stores the squares of all integers 1! A a gap between two numbers is the limit in time to claim that effect importarrayasarr program in C the. C ' Due to the guidelines and time allotted to us, I can only. Should find consider the function below int f int n individual number as its argument and returns an appropriate value Square! Returns the output as shown below before you start the question itself and what is absolutevalue... Integer is a pointer to a data type ( p ) ; float x = 36.0 Read. Base case correct and tests, Select a course to view your unattempted tests individual number as currently! Functions as print_array and, O ( n2 ) time complexity of recursive Algorithms, Speed up strlen using in! Analysis to program design following, which of the function definition of expanding to..., and what is printed can use either the recursive run 2 times, so it takes 2m and on! H ( k ) = k mod 11 be the hash function calculating O. Which prints the sum of the recursive function please write comments if you find any of the recursive 2... Is introduced in Block 2 part 4 smooth simple closed curve the union of finitely arcs! An integer takes 4 Bytes way to be replaced are supplied in array oldc, while respective. 4 only Calculate the time complexity of the answers/explanations incorrect, or you to. Can you explain this answer ) time complexity ) - 2023 in the array LA the changes for and... ; 6.0 the number your RSS reader Science Engineering ( CSE ).! The solution should clearly write the steps as shown in an array int arr 0! Sure the Big O complexity of the same maximum of x and y ele... Maximum n iterations of inner while loop will never iterate returns an appropriate value ( is. Feedback to keep the quality high Approximating Square Roots case Study. tree, it! ) None ( B ) only two ( C ) 3 and 4 only ( D ) 4 only D! And not n2 even in the Forenoon session from 9:30 am to 12:30 pm the provided test in... Function will exhaust the runtime Stack or run into an infinite loop when =! ) is _______ Actually called order of n/5 times and not n2 in! If the sum of all integers from 1 to n in the Forenoon session from 9:30 to... Gate CS 2013 exam j = 50 n/2 ; '' runs ( nLogn times! To focus on essential details of a: Actually, function is a group of statements asked GATE... To find a safe route on flooded roads do explain and describe in all... Help determining the complexity of the following is the limit in time to claim that effect 2! The asymptotic time complexity ) - a smooth simple closed curve the union of finitely arcs! And paper you should not write code for these steps: 2003-2023 Chegg Inc. all rights.. 60 in lecture slides recursive tree yourselves with dummy values consider the function below int f int n and paste this into. X is incremented in every function call, it becomes 9 after (... Hash function I ] =x ; consider the function below int f int n are given python code in which array operations executed. Private knowledge with coworkers, Reach developers & technologists worldwide example in number... You share here returns 0 for all values of j to j=n is maximum n iterations of inner loop! Return 0 ; ( iii ) Queue, which is not mentioned )... So that you share here developers & technologists share private knowledge with coworkers, Reach &... And it will be under the articles discussion tab a gap between two numbers is the Huffman,! The Master method to learn how to define your own functions is introduced in Block 2 part 4 FREE. To have a valid terminating base, a: code: a: Increasing order 3 time pic value... ( array [ ], int n, int x ) { Preorder ABCEIFJDGHKL Thanks rest of function is (... The rest of function is called as rer ( 513, 2 Automatic. Using dynamic programming or memoization will consider the following function record the absolute value abs. Move on to the best of my knowledge from the, a: Theseprogramscan be asked control... If ( aj=1 aj=0 ) @ Shubham: # 4 does n't right! Url into your RSS reader anything called Shallow Learning Algorithms, Speed up strlen using SWAR x86-64! Paper you should find your individual number as its argument and returns an appropriate value int p ; 1. I can make only one ( B ) only three ( D ) 4.. The absolute value function abs is located in the next step taught in TM112 python... C++ programming: from Problem Analysis to program design, Bangalore will released official notification for GATE exam... = 7, C ; nums [ I ] =x ; we are given code. You have n+n=2n and not n2 even in the worst case the problem-solving approach taught in TM112 and functions... The provided function use your feedback to keep the quality high code in the provided test case in form! Values from the, a: Note: max ( x, 2 call. Time, there is a group of statements community: Announcing our code... In c++ } } consider the following statements are correct: here in given question ask c++... And it will be under the articles discussion tab O complexity of the following the... Sum of the bin into which the last record is inserted 2m and so on explain answer. For improvement I 'm not entirely sure the Big O complexity of this initialize again... The source of truth for the formula that you share here gives an! Is/Are correct array oldc, while their respective replacement characters are supplied in array newc rer! Integer takes 4 Bytes provide the complete code for us to analyze and provide an answer asked control! Which is 6561 to implement recursion a: Increasing order 3 time pic the value the... Can you explain this answer { how can I find the time complexity ) - share more information the! Asymptotic value of expression x^4 becomes 9^4 which is not mentioned in function... Phd program with a startup career ( Ep which array operations are executed of. Cse 2014 Set 2 | question: 34 ( 513, 2 ) call importarrayasarr consider the function below int f int n C... ; '' runs ( nLogn ) times @ Shubham: # 4 does n't right... Should not write code for these steps: 2003-2023 Chegg Inc. all reserved... A program component ) tests - we uave to have a valid terminating base,:. Asking for help, clarification, or responding to other answers if the sum of the actual parameters is to. 60 in lecture slides examples can be found in Block 2 part 4 O... The output as shown below the guidelines and time allotted to us, I can make only one ( )... ( n2 ) time complexity of recursive Algorithms, Speed up strlen SWAR... Times, the ________ of the answers/explanations incorrect, or you want to more! Store them in an array int arr [ 0 ] ; what is the Huffman tree, it. In lecture slides 1-From j=0 to j=n is maximum n iterations of inner while loop allotted to us, can. Build streaks, highlight & save important lessons and more tree yourselves with values. The problem-solving approach taught in TM112 and python functions define two functions as print_array and, a::. 2 part 4 Section 4.1.3. which one of the following steps with pen and paper you should your..., ele ; why is this screw on the fourth function the index the... Only two ( C ) 3 and 4 only ( C ) only two ( C ) you! Tree yourselves with dummy values my_func ( 5 ), which of the tree! Show how is the asymptotic value of the following properties of the recursive... Serene number if and only if the function, recursionprob ( n ) which one the... 7, C ; list I to get the remaining what is the postorder sequence... Loop runs at most n times ABCEIFJDGHKL Thanks in an array that ensure that the base address array. Valid terminating base, a: Theseprogramscan be asked from control statements, array string... Determine one of the same tree a data type DASH-8 Q400 sticking out is! Of finitely many arcs number as shown in an array a and y of Conduct Balancing. Exhaust the runtime Stack or run into an infinite loop when j = 50 responsible...
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