Consider the following problem. You are given a list of words, each con- sisting of a sequence of one or more letters. The goal is to arrange the words in a sequence so that: ⚫the last letter of the first word is the same as the first letter of the second word ⚫the last letter of the second word is the same as the first letter of the third word .... and so on... ⚫the last letter of the next-to-last word is the same as the first letter of the last word 1 For a given sequence of words, we could ask the question, "is it possible to arrange the entire list of words into one such sequence?" Argue that this problem is in NP. Argue whether the problem posed in the question 2 above is in P.
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- Write in python programming language: The Longest Subsequence Problem is a well-studied problem in Computer Science, where given a sequence of distinct positive integers, the goal is to output the longest subsequence whose elements appear from smallest to largest, or from largest to smallest. For example, consider the sequence S= [9,7,4,10,6,8,2,1,3,5]. The longest increasing subsequence of S has length three ([4,6,8] or [2,3,5]), and the longest decreasing subsequence of S has length five([9,7,4,2,1] or [9,7,6,2,1]). And if we have the sequence S = [531,339,298,247,246,195,104,73,52,31], then the length of the longest increasing subsequence is 1 and the length of the longest decreasing subsequence is 10. Question: Find a sequence with nine distinct integers for which the length of the longest increasing subsequence is 3, and the length of the longest decreasing subsequence is 3. Briefly explain how youconstructed your sequence. Let S be a sequence with ten distinct integers. Prove by…A decreasing sequence of numbers is a sequence of integers where every integer in the sequence is smaller than all other previous integers in that sequence. For example, •35, 16, 7, 2, 0, -3, -9 is a decreasing sequence of numbers. The length of this sequence is 7 (total numbers in the sequence) and the difference of this sequence is 35 - (-9) -44. • 5 is a decreasing sequence of numbers with length 1 and difference 5-5 = 0 •99,-99 is a decreasing sequence of numbers with length 2 and difference 99-(-99) = 198 •17, 23, 11, 8, -5, -3 is not a decreasing sequence of %3D numbers. Write a program that contains a main() function. The main function repeatedly asks the user to enter an integer if the previously entered integers form a decreasing sequence of numbers. This process stops as soon as the latest user input breaks the decreasing sequence. Then your function should print the length and difference of the decreasing sequence. Finally, call the main() function such that the call will be…Correct answer will be upvoted else downvoted. Computer science. section grouping is a string containing just characters "(" and ")". A standard section succession is a section grouping that can be changed into a right number juggling articulation by embedding characters "1" and "+" between the first characters of the arrangement. For instance, section successions "()()" and "(())" are normal (the subsequent articulations are: "(1)+(1)" and "((1+1)+1)"), and ")(", "(" and ")" are not. You need to find a string b that comprises of n characters to such an extent that: b is a standard section grouping; in the event that for some I and j (1≤i,j≤n) ai=aj, bi=bj. As such, you need to supplant all events of 'A' with a similar kind of section, then, at that point, all events of 'B' with a similar sort of section and all events of 'C' with a similar sort of section. Your undertaking is to decide whether such a string b exists. Input The primary line contains a solitary…
- 1. Analyze the word finder with wild card characters scenario to form the algorithm and compute the time complexity. You are given a list of characters with size n, m. You need to read character data provided as input into this list. There is also a list of p words that you need to find in the given problem. You can only search in left, right, up and down direction from a position. There are two wild characters *' and '+' ,if there is any instance of wild card characters for example '+' appears you can match whatever character in your word that you are searching at this position (only one character). Similarly, if you got wildcard *' you can skip any number of characters ( A sequence of characters not necessary same in between the characters) but the last character should be matched in the given data. This means you are not allowed to match a first and last character with *' wildeard. Input: The first line of the input will give you two integers n and m. From the next line you will get…Correct answer will be upvoted else downvoted. Assume you are given two strings an and b. You can apply the accompanying activity quite a few times: pick any adjacent substring of an or b, and sort the characters in it in non-dropping request. Let f(a,b) the base number of activities you need to apply to make them equivalent (or f(a,b)=1337 in case it is difficult to make an and b equivalent utilizing these tasks). For instance: f(ab,ab)=0; f(ba,ab)=1 (in one activity, we can sort the entire first string); f(ebcda,ecdba)=1 (in one activity, we can sort the substring of the subsequent string beginning from the 2-nd character and finishing with the 4-th character); f(a,b)=1337. You are given n strings s1,s2,… ,sk having equivalent length. Compute ∑i=1n∑j=i+1nf(si,sj). Input :The principal line contains one integer n (1≤n≤2⋅105) — the number of strings. Then, at that point, n lines follow, each line contains one of the strings si, comprising of lowercase Latin…Consider again a list of fridge temperatures that should be kept within a certain range, as described in Question 9. Write a program that prints the percentage of readings that are outside the allowed range (0 to 5 degrees Celsius), as shown in the examples below. Note that the percentage is printed as an integer, rounded down, and that there is a space before the percentage sign. You need to decompose this problem into sub-problems and instantiate and combine the corresponding patterns. If you need to compute the length or sum of a list, you may use the list operations len() and sum() instead of programming them from scratch using the counting and aggregator patterns. Use variable names appropriate to the problem at hand instead of the generic names used by the patterns. Use the get_input() operation to get the input list. For example: Input Result [5, 4, 3, 2, -1, 0] 16 % of values are outside the range [4.7, 5.2] 50 % of values are outside the range…
- I need to write a recursive program to count the number of muck-free regions in a lagoon. The Lagoon is represented by a rectangle of N x M squares. Each square contains either muck ('M') or sand ('.'). A region is defined as a connected set of one of more squares with sand in it, where a square is considered to connect to all eight of its adjacent squares. Sample input/output is shown in picture attachedThe next question has to do with a bisection process, which is very common in mathematical software. For example, the bisection method for finding a root of a function starts with an interval, [a, b], where f(a) and f(b) have different signs. It then computes the midpoint of the interval, c = (a + b) / 2. It then replaces either a or b by c so that the signs of the new f(a) and f(b) are still different, thus guaranteeing that the new interval [a, b], which is either the left or right half of the previous interval, still brackets a root. In the next 2 questions, assume B = 2 and p = 24. 13. If a = 1 and b = 2, how many times can bisection occur before there are no floating-point numbers in the interval (a, b) (in other words, a and b are adjacent floating-point numbers)?Carl is sitting in a chair that is next to a table. Carl’s cell phone is on top of the table. Your task is to direct Carl to pick up his cell phone. Does the solution to this problem require a repetition structure? If so, what needs to be repeated?
- A robot moves in a 2D lattice. The robot can only move north (N), south (S), east (E), and west (W) by a certain number of steps. Assume that the robot always starts at (0,0), and that the x axis is oriented east, while the y axis is oriented north. Write a Python function that, given a set of moves, calculates the final position of the robot. For example, if the set of moves provided as input is: N 2 E 4 S 1 W 3 then the final position of the robot is (1,1). The integer that follows a move is always positive. Follow this code skeleton: def robot_move (moves): X = 0 y = 0 # your code here return (x,y) The moves are provided as an array of tuples. The array can have any number of moves in any order. The example above is passed as input as follows: [('N',2), ('E',4), ('S',1), ('W',3)]The puzzle called the Towers of Hanoi consists of three pegs, one of which contains several rings stacked in order of descending diameter from bottom to top. The problem is to move the stack of rings to another peg. You are allowed to move only one ring at a time, and at no time is a ring to be placed on top of a smaller one. Observe that if the puzzle involved only one ring, it would be extremely easy. Moreover, when faced with the problem of moving several rings, if you could move all but the largest ring to another peg, the largest ring could then be placed on the third peg, and then the problem would be to move the remaining rings on top of it. Using this observation, develop a recursive algorithm for solving the Towers of Hanoi puzzle for an arbitrary number of rings.Adam begins to master programming. The main undertaking is drawing a fox! Notwithstanding, that ends up being excessively hard for a novice, so she chooses to draw a snake all things being equal. A snake is an example on a n by m table. Mean c-th cell of r-th column as (r, c). The tail of the snake is situated at (1, 1), then, at that point, it's body reaches out to (1, m), then, at that point, goes down 2 lines to (3, m), then, at that point, goes left to (3, 1, etc. Your undertaking is to draw this snake for Adam: the unfilled cells ought to be addressed as speck characters ('.') and the snake cells ought to be loaded up with number signs ('#'). Consider test tests to comprehend the snake design for the programming concepts.