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- Draw a deterministic finite automaton (DFA) that recognizes the language consisting of strings overthe alphabet {a,b} which contain either exactly two a's (which need not be consecutive) and anynumber of b's, or exactly two b's (which need not be consecutive) and any number of a's (and containsonly such strings.) Use JFLAP and submit the saved file.Consider the following languages over {0, 1}: L3 = {w : w begins and ends with different symbols, |w| £ 3} L4 = {w : w = wR, |w| £ 3} Enumerate the first 6 strings in the L-ordering of the following. If there are fewer than 6 string, enumerate the entire language: L3 L4 L33 L4*A) If we use tree structured communication to distribute an array of 16 elements evenly across a set of 8 processes, how many elements will be held by each process? A 1 B 2 C 3 D 4 B) Super-linear speedup is most likely to happen in which of the following applications? A weather forecasting B modeling motion of astronomical bodies C search for an item in a search space D Monte Carlo method for computing definite integral C) The mechanism used to differentiate between different types of messages being sent in a point-to-point MPI communication routine is A the count parameter B the data type C the message tag D the communicator Solve all parts A B And C
- A finite sequence of symbols from a given alphabet will be called a string over the alphabet. A string that consists of a sequence a1, a2, a3, a4, … … … … , an of symbols will be denoted by the juxtaposition a1 a2 a3 a4 … … … … an. Given the strings: u = a2bab2and v = bab2, Evaluate the following operations for strings: (i) ԑu(ii) u + v(iii) u(u| v)(iv) v | (v | u)Given N = (Q, {a, b}, δ, q0, F) is an NFA that recognizes language L. Define a new language concatenate(L) that is formed by concatenating symbol a to the end of every string in L. That is, concatenatea(L) = {wa | w ∈ L(N)}. Please construct an NFA N′ with exactly one accepting state that recognizes language concatenate(L). All you need to do is fill in the missing parts in the definition below. N′ = (Q′ , {a, b}, δ′ , q′ 0 , F′ ) where (a) Q′ = (b) q ′ 0 = (c) F ′ = (d) δ ′ is defined as follows:Execute the given program in MARS and answer the following short questions..textmain:li $a0,5jal func1li $v0,1syscallj func3func1:addiu $sp, $sp, -8sw $ra, 4($sp)sw $a0, 0($sp)addi $a0,$a0,5jal func2lw $a0, 0($sp)lw $ra, 4($sp)jr $rafunc2:addi $a0,$a0,5jr $rafunc3:li $v0,10syscall----------------- i. What do we need to decrement $sp by 8 in the instruction addiu $sp,$sp,-8? ii. What is the value of $a0 at the end of func2? At the end of program, the value of $a0 is 5(printed on screen). Why? iii. func1 is supposed to free-up stack before it returns back to the caller. Write down theinstruction we must use to free-up stack. iv. The program will not terminate properly if we remove the instruction lw $ra, 4($sp). Why?v. Make changes in this program to use jalr instead of jal. Write down your changes here.
- The language must be in python. 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 that the last weight effectively operates as a threshold. Assuming that a sigmoid unit response >0.5 denotes a positive class and <0.5 is negative class, is example 1 positive or negative? is example 2 positive or negative? Create a single ReLU unit and provide the outputs for those examples. Calculate the derivative of the sigmoid with respect to net input for both examples Calculate the derivative of the ReLU with respect to net input for both examplescreate a 2 tape Turing machine (use JFLAP) that has on tape 1 the alphabet of a,b,null, on tape 2 the alphabet is 0,1,2,3, null. Tape 1 has initial content of (a+b)*, Tape 2 has initial content of (0+1)* Begin by processing tape 1, if the substring aa is found on tape 1, search tape 2 for the first 00 substring and replace it with 22 if the substring bb is found on tape 1, search tape 2 for the first 11 substring and replace it with 33. If at anytime aa does not have a matching 00 reject if at anytime bb does not have a matching 11 reject else accept after all of tape 1 has been processed.The language we are using here is in Racket. Please try tying each of the following (car '(11 12 13 14)) (car '(a b c d)) (cdr '(11 12 13 14)) (cdr '(a b c d)) (car (11 12 13 14)) (cdr (a b c d)) What do car and cdr do? That last line of the above should cause an error. Explain why the single quote necessary and what it does.
- Suppose that you want to implement an algorithm that will compete on a two-player deterministic game of perfect information. Your opponent is a supercomputer called DeepGreen. DeepGreen does not use Minimax. You are given a library function DeepGreenMove(S), that takes any state S as an argument, and returns the move that DeepGreen will choose for that state S (more precisely, DeepGreenMove (S) returns the state resulting from the opponent's move). Write an algorithm in pseudocode (following the style of the Minimax pseudocode) that will always make an optimal decision given the knowledge we have about DeepGreen. You are free to use the library function DeepGreenMove(S) in your pseudocode. What advantage would this algorithm have over Minimax? (if none, Justify).Given strings x = “Deep”, y = “Learning” and an empty string ε, the following are some operations undertaken on the strings: i) Lengths of x, y, ε are |x| = |“Deep”| = 4, |y| = |“Learning”| = 8 and |ε| = 0. ii) The concatenation operation applied over x, y and ε as follows yields the resulting strings and results: x + y = “DeepLearning” y + x = “LearningDeep” x + ε = “Deep” ε + y = “Learning” |x + y| = 12 | ε + y| = 8 iii) “Learn” is a prefix of string y, and “Deep” is a prefix of string x + y. iv) “earning” is a suffix of string y, and “Learning” is a suffix of string x + y. v) “earn” is a substring of string y. vi) x = y is false; x = x+ ε is true. vii) “Lenin” is a subsequence of string y. implement a program using given dataGiven strings x = “Deep”, y = “Learning” and an empty string ε, the following are some operations undertaken on the strings: i) Lengths of x, y, ε are |x| = |“Deep”| = 4, |y| = |“Learning”| = 8 and |ε| = 0. ii) The concatenation operation applied over x, y and ε as follows yields the resulting strings and results: x + y = “DeepLearning” y + x = “LearningDeep” x + ε = “Deep” ε + y = “Learning” |x + y| = 12 | ε + y| = 8 iii) “Learn” is a prefix of string y, and “Deep” is a prefix of string x + y. iv) “earning” is a suffix of string y, and “Learning” is a suffix of string x + y. v) “earn” is a substring of string y. vi) x = y is false; x = x+ ε is true. vii) “Lenin” is a subsequence of string y. make a program using given data: