What is the runtime of a bottom approach for the following program of a fibonacci sequence
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What is the runtime of a bottom approach for the following program of a fibonacci sequence.
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- Use C++. Write a program that searches for a passage through the maze. The labyrinth is represented as a matrix consisting of squares. Each square is either open or closed. Entrance to the closed square is prohibited. If the square is open, the entrance to it is possible from the side, but not from the corner. Each square is determined by its coordinates in the matrix. The program finds a passage through the maze, moving from the specified entrance. After finding the passage, the program displays the found path in the form of quadratic coordinates. Use the stack to store the pathA palindrome is a sentence that contains the same sequence of letters reading it either forwards or backwards. A classic example is '1\.ble was I, ereI saw Elba." Write a recursive function that detects whether a string is apalindrome. The basic idea is to check that the first and last letters of thestring are the same letter; if they are, then the entire string is a palindromeif everything between those letters is a palindrome.There are a couple of special cases to check for. If either the first orlast character of the string is not a letter, you can check to see if the restof the string is a palindrome with that character removed. Also, when youcompare letters, make sure that you do it in a case-insensitive way.Use your function in a program that prompts a user for a phrase andthen tells whether or not it is a palindrome. Here's another classic fortesting: '1\. man, a plan, a canal, Panama!"Write C++ code. Write a recursive function, reverseDigits, that takes an integer as a parameter and returns the number with the digits reversed. Write output also.
- write algorithm or theory of the following problem. Dont write code, Narrative 2: We need to have a generic module which reads in file and gives the output in the format which would facilitate other programs to do comparison like the one we saw above to carry out analysis and comparison. Response Required: Write a program that reads a given text, outputs the text as is, and also prints the number of lines and the number of times each letter appears in the text. An uppercase letter and a lowercase letter are treated as being the same; that is, they are tallied together. Since there are 26 letters, we use an array of 26 components to perform the letter count. We also need a variable to store the line count. The text is stored in a file, which we will call textin.txt. The output will be stored in a file, which we will call textout.txt Input: A file containing the text to be processed. Output: A file containing the text, number of lines, and the number of times a letter appears in the…Construct recursive versions of the library functions that: a. calculate the "sum" of a list of numbers. b. "take" a given number of elements from the beginning of a list. c. select the "last" element of a non-empty list .A recursive function is a function defined in terms of itself via self-referential expressions. This means that the function will continue to call itself and repeat its behavior until some condition is met to return a result. a- Write a python recursive function prod that takes x as an argument, and returns the result where, result=1*1/2*1/3*….*1/n b- Include a screenshot that shows a python program that uses the above function and prints the rounded result to three decimal places after prompting the user to enter a number, x. Use x=3. N.B: The code should be included in your answer.
- I need the code from start to end with no errors and the explanation for the code ObjectivesJava refresher (including file I/O)Use recursionDescriptionFor this project, you get to write a maze solver. A maze is a two dimensional array of chars. Walls are represented as '#'s and ' ' are empty squares. The maze entrance is always in the first row, second column (and will always be an empty square). There will be zero or more exits along the outside perimeter. To be considered an exit, it must be reachable from the entrance. The entrance is not an exit.Here are some example mazes:mazeA7 9# # ###### # # ## # # #### # ## ##### ## ########## RequirementsWrite a MazeSolver class in Java. This program needs to prompt the user for a maze filename and then explore the maze. Display how many exits were found and the positions (not indices) of the valid exits. Your program can display the valid exits found in any order. See the examples below for exact output requirements. Also, record…Create a function that returns the nth catalan number. In combinatorial mathematics, the Catalan numbers form a sequence of natural numbers that occur in various counting problems, often involving recursively-defined objects. They are named after the Belgian mathematician Eugène Charles Catalan (1814-1894). For more info, check out the resource tab. Examples getCatalanNumber (0) → 1 getCatalanNumber (6) → 132 getCatalanNumber (8) 1430 Notes Inputs are zero and positive integers.Write a recursive C++ program that will output all the subsets of a set of n elements (without repeating any subsets).
- Write a C program for this problem: The partially initialized array "table" can be viewed as a primitive spreadsheet, in which the last column and bottom row have been left blank. Write the code to fill in this row and column with the totals of each column, each row, and the GRAND TOTAL. PS. Don't forget to add comments for every step you make.in this assignment i have to remove vowels from a string using a linked list. the linked list and link code is from a textbook and cannot be changed if the code alters the data structure. for some reason when i implement this code it gives me a logical error where the program only removes all instances of the first vowel in a string instead of moving through all vowels of the string and removing each one with all instances. i would appreciate if you could tell me the problem and solution in words and not in code. The code is in java. output please enter a string.researchhcraeserfalseList (first -->last): researchList (first -->last): researchList (first -->last): rsarch CODE MAIN FUNCTION import java.util.Scanner;/*** Write a description of class test here.** @author (your name)* @version (a version number or a date)*/public class test{// instance variables - replace the example below with your ownpublic static void main(String[] args){Scanner input = new…use The C Programming Language Online Compile for Recamán's Sequence Implement this in a program. Write two functions, one for solving it iteratively, one for solving it recursively. Take two arguments from the command-line: an "i" or "r", and the term number (how many terms to print). Print out which method executed (was selected) and all the terms (and the number of terms).