→ Example 11: Write down an algorithm and draw a flowchart to find and print the largest of N (N can be any number) numbers. Read numbers one by one. Verify your result by a trace table. (Assume N to be 5 and the following set to be the numbers {1 4268})
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- Assume that a, b, c are numbers.Return 'increasing' if they are in increasing order, 'decreasing' if they are in decreasing order, 'both' if they are both increasing and decreasing, and 'neither' otherwise.Here, 'increasing' means that each value is at least as largeas its predecessor. Similarly for decreasing.The sequence 3, 4, 4 is increasing. whereasthe sequence 4, 4, 4 is both increasing and decreasing.For example,lenient(3, 4, 5) returns 'increasing'lenient(3, 4, 4) returns 'increasing'lenient(4, 4, 4) returns 'both'lenient(4, 3, 2) returns 'decreasing'lenient(4, 3, 3) returns 'decreasing'lenient(4, 2, 3) returns 'neither'Let A = {a, b, c} and B = {u, v}. Write a. A × B b. B × AGiven a string str and number n, write a program that recursively appends a copy of string str n times and returns the resulting string. For example: RecuriveCopy("a", 10) // -> "aaaaaaaaaaa" RecursiveCopy("blah", 5) // -> "blahblahblahblahblahblah" For this exercise, complete the following function. n is the number of copies to add to str: function RecursiveCopy(str, n) { // your code here } Part 2: Call RecursiveCopy Write another function that calls RecursiveCopy() and returns the following string output: "The resulting string [x] has [y] characters". [x] should be replaced by the result from RecursiveCopy) and [y] should be replaced by the number of characters in the resulting string. You may pick the arguments to RecursiveCopy in CountChars or have the user provide input. I will leave this up to you. function CountChars() { } // your code here // call RecursiveCopy(..) // returns a formatted string For example: console.log(CountChars()) // -> "The resulting string blahblahblahblah…
- “Rectangles” A rectangle can be specified in a 2-dimensional plane using the top left (north west) point and the bottom right (south east) point. Given n rectangles (using 2 points each), give an O(n log n) algorithm that tells if any two rectangles from the list overlap. Two rectangles are said to overlap, if there is a common point in both of them. [If a rectangle is entirely contained in another, they are still said to “overlap”, even though their lines don’t cross.]*Using Python The scientist has 500 cages in which to hold her rabbits. Each cage holds one pair of rabbits. Assuming that no rabbits ever die, when will she run out of cages? Your program must do the following: Print a table that contains the following information for each month. The number of months that have passed. The number adult rabbit pairs (those over 1 month old). The number of baby rabbits pairs produced this month. The total number of rabbit pairs in the lab. Calculate how many months it will take until the number of rabbits exceeds the number of available cages. Stop printing when you run out of cages. Print a message giving how many months it will take to run out of cages Output file should look like the following. Comments in the file begin with '#', and must appear as shown too: Code must contain def main(): #main function need in all programs for automated testing """ Program starts here """ #end of main program if __name__ == '__main__': main() #excucte main…[Fish Tank] You play with a clown fish that has an initial size so. The fish can eat other fish in a tank organized in m columns and n rows. The fish at column i and row j has a positive size si,j. When your fish eats another fish, it grows by that amount. For example, if your clown fish has a size of 10 and eats a fish of size 5, it becomes of size 15. You cannot eat a fish that is bigger than your size. The game starts by eating any fish in the first (left-most) column that is not bigger than yours. After that, you advance one column at a time by moving right. You have only three allowed moves. You either stay at the same row, move one row higher or one row lower. You will always move to the right. Thus, you will make exactly m moves to advance from left to right. Your goal is to exit the fish tank from the right with the biggest possible size. The figure below shows an example with the best answer highlighted. In this case, the final fish size is 71 (10+8+7+24+22). You are required…
- java: Run length coding is a method to represent a string in a more compact manner. Each character that occurs more than 2 times in a row is represented by the character and a number following it. Two examples are: "abba" → "abba""abcccbbbba" → "abc3b4a"Write a function that calculates how many characters the encoded string is shorter than the original.[Python Language] Using loops of any kind, lists, or Sets is not allowed. Sloan’s Book Collection Sloan loves reading books. She recently started reading an AI generated series called “Harry Trotter”. Sloan is collecting books from the series at her nearest bookstore. Since the series is AI generated, the publishers have produced an infinite collection of the books where each book is identified by a unique integer. The bookstore has exactly one copy of each book. Sloan wants to buy the books in the range [l,r], where l ≤ r. As an example, the range [−3,3] means that Sloan wants to buy the books − 3, − 2, − 1, 0, 1, 2, and 3. Pam also loves the series (or maybe annoying Sloan– who knows, really), and he manages to sneak into the bookstore very early to buy all of the books in the range [d,u], where d ≤ u. When Sloan later visits, sadly she will not find those books there anymore. For example, if Sloan tries to buy books [−2,3] and Pam has bought books [0,2], Sloan would only receive…Q3: Interplanetary Spaceflight Milan Tusk is the richest person in the universe. After devoting decades of his life to further our space exploration technologies, he’s finally ready to retire. Being a space enthusiast, the first thing he wants to do is visit n planets p1, p2, …, pn, in this order. He’s currently on planet p0. Milan knows that the distance between planets pi and pi + 1 (for 0 ≤ i < n) is d[i]light years. His spaceship uses 1 tonne of fossil fuels per light year. He starts with a full tank and can fill up his tank at any of the n planets (but he must not run out in between two planets). There’s a huge cost to set up the spaceship for refuelling. Due to financial constraints (he’s not THAT rich), he can fill up his tank at most ktimes. In order to save money and make his spaceship lighter, Milan is looking for the smallest possible fuel tank that enables him to complete his space travel and reach planet pn. What is the smallest tank capacity that enables him to do so?…
- LAB RESTRICTIONS, PLEASE READ: Do not add any imports, the ones that you need will be given to you. You may not use any lists or list methods, or any while loops. Within your loops, you MUST NOT use any break or continue statements. Please also do not use try-except statements, you should be able to anticipate or prevent any errors from happening at all!True or False: Asymptotically analyze the expression below. n²(1 +sqrt(n)) = O(n² log n) O True O Falseuse JAVA to write the code. : Euclid’s algorithm for finding the greatest common divisor (gdc) of two numbers The algorithm: given two numbers, n1 and n2: Divide n1 by n2 and let r be the remainder. If the remainder r is 0, the algorithm is finished and the answer is n2. (If the remainder is 1, the numbers are mutually prime and we are done-see below.) Set n1 to the value of n2, set n2 to the value of r, and go back to step 1. Entering 0 for one of the values is bad. It should work for the other value, but you have to figure out which is OK and which is bad. Catch this problem as it happens and make the user enter another value until they enter an acceptable one. Give an appropriate error message if this happens.