Every student who takes Algorithms also takes Graphics.
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Q: (time complexity)
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- Correct answer will be upvoted else Multiple Downvoted. Computer science. You are given a string s, consisting of brackets of two types: '(', ')', '[' and ']'. A string is called a regular bracket sequence (RBS) if it's of one of the following type empty strin '(' + RBS + ')' '[' + RBS + ']' RBS + RBS where plus is a concatenation of two strings In one move you can choose a non-empty subsequence of the string s (not necessarily consecutive) that is an RBS, remove it from the string and concatenate the remaining parts without changing the order What is the maximum number of moves you can perfor Input The first line contains a single integer t (1≤t≤1000) — the number of testcases Each of the next t lines contains a non-empty string, consisting only of characters '(', ')', '[' and ']'. The total length of the strings over all testcases doesn't exceed 2⋅10 Output For each testcase print a single integer — the maximum number of moves you can perform on a given string…Let the following statements be given. p= "You can vote." q = "You are under 18 years old." r = "You are from Mars." (a) Translate the following statement into symbols of formal logic. You can't vote if you are under 18 years old or you are from Mars. O (q vr) → p O¬p → (q^r) O (q^r) → p O (qvr) → p O¬p → (qVr) (b) Give the contrapositive of this statement in the symbols of formal logic. Op (q^r) O¬¬p → ¬(q V r) O¬p → ¬(q Vr) (q V r) → O(g ^r) → p p (c) Give the contrapositive in English. O If you are under 18, then you can't vote nor are you from Mars. O If you are not under 18 nor are you from Mars, then you can't vote. O If you can't vote, then you are not under 18 nor are you from Mars. O If you can vote, then you are not under 18 nor are you from Mars. O If you are not under 18 nor are you from Mars, then you can vote.A robot is placed at the origin of a 2D coordinate plane (i.e. position (0, 0)). The robot is given a string Scontaining N characters in {N, E, S, W} as its instructions. For each character from the beginning of the string,the robot has to move 1 unit to the following direction:• If the character is N, the robot has to move 1 unit to the positive y-axis direction.• If the character is E, the robot has to move 1 unit to the positive x-axis direction.• If the character is S, the robot has to move 1 unit to the negative y-axis direction.• If the character is W, the robot has to move 1 unit to the negative x-axis direction.You do not know the string S. However, you know another string P that is an anagram of S (i.e. P has thesame number of N, E, S, W characters as S). You also have M data points: T1...M, X1...M, and Y1...M. For alli, you know that the robot is at position (Xi, Yi) after moving exactly Ti units.You want to know the number of possible string S that satisfies all the…
- Given below are two statements: S1: If a Graph G is n colorable then it's also n+1 colorable. S2: Every Bipartite graph is 2 colorable Which of the above statement(s) is/are correct?Correct answer will be upvoted else downvoted. Computer science. You are given an integer n. Check if n has an odd divisor, more noteworthy than one (does there exist such a number x (x>1) that n is separable by x and x is odd). For instance, assuming n=6, there is x=3. Assuming n=4, such a number doesn't exist. Input The primary line contains one integer t (1≤t≤104) — the number of experiments. Then, at that point, t experiments follow. Each experiment contains one integer n (2≤n≤1014). If it's not too much trouble, note, that the input for some experiments will not squeeze into 32-cycle integer type, so you should use no less than 64-digit integer type in your programming language. Output For each experiment, output on a different line: "Indeed" if n has an odd divisor, more noteworthy than one; "NO" in any case. You can output "YES" and "NO" regardless (for instance, the strings yEs, indeed, Yes and YES will be perceived as certain).Factorial of a number is defined as: n! = n(n-1)(n-2)(n-3)...(2)(1) For example, 4! = 4*3*2*1 The n! can be written in terms of (n-1)! as: n! = n* (n-1)! (n-1)! = (n-1)*(n-2) ! and so forth. Thus, in order to compute n!, we need (n-1)!, to have (n-1)!, we need (n-2)! and so forth. As you may immediately notice, the base case for factorial is 1 because 1! = 1. Write a program that uses a recursive function called factorial that takes an integer n as its argument and returns n! to the main. C++ PLEASE
- A tile of a monkey puzzle has four monkey halves that can be labelled as north(N), east (E), south (S), and west (W) half. In addition to the shape of the borderrectangle, these halves determine which edges can be placed next one other. There isalso another way to define how the tiles can be placed: Each tile corner (i.e. compassdirections NE, SE, SW, and NW) has a monkey quarter. If we abstract this quarter, forexample, with a letter, only the tiles with the same letter in their touching corners canbe adjacent. illustrates one valid solution for this quarter monkey puzzle.Are the two monkey puzzle representations equivalent in the sense that if we have apile of ‘half monkey’ tiles H, it is possible to define a pile of ‘quarter monkey’ tilesQ that gives exactly the same set of solutions for the puzzle (and vice versa)?A perfect number is a positive integer that is equal to the sum of its proper positive divisors, that is, the sum of its positive divisors excluding the number itself. Equivalently, a perfect number is a number that is half the sum of all of its positive divisors. The first perfect number is 6, because 1, 2 and 3 are its proper positive divisors, and 1 + 2 + 3 = 6. Equivalently, the number 6 is equal to half the sum of all its positive divisors: (1 + 2 + 3 + 6) / 2 = 6. Write a program to display the of sum all perfect numbers found in the first 1000 integers.A perfect number is a positive integer that is equal to the sum of its proper positive divisors, that is, the sum of its positive divisors excluding the number itself. Equivalently, a perfect number is a number that is half the sum of all of its positive divisors. The first perfect number is 6, because 1, 2 and 3 are its proper positive divisors, and 1 + 2 + 3 = 6. Equivalently, the number 6 is equal to half the sum of all its positive divisors: (1 + 2 + 3 + 6) / 2 = 6.Write a program to display the of sum all perfect numbers found in the first 1000 integers in java
- A very known application in natural language processing is to extract information from a given text. In this lab, you will be able to extract some emotions (Sad and Happy) from a given string and calculate the score of each emotion. You will be given below the words that express sadness, anger, and happiness. For each word, you will be given weight as well, so that when you are calculating for example the score for sadness in the text (string), you can use this formula:AsapA 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…