The following table presents the implementation of Dijkstra's algorithm on the evaluated graph G with 8 vertices. a) What do the marks (0, {a}) and (∞, {x}) in the 1st row of the table mean? b) What do the marks marked in blue in the table mean? c) Reconstruct all edges of the graph G resulting from the first 5 rows of the table of Dijkstra's
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The following table presents the implementation of Dijkstra's
a) What do the marks (0, {a}) and (∞, {x}) in the 1st row of the table mean?
b) What do the marks marked in blue in the table mean?
c) Reconstruct all edges of the graph G resulting from the first 5 rows of the table of Dijkstra's algorithm.
d) How many different shortest paths exist in the graph G between the vertices a and g?
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- A = {1,2,3} B = {1,2,3} C = {5,6,7} D = {0,1,2,3,4,5} Is A = C?4. A={3,4}, B={4,5}. An B= AUB= A-B= A OB= AXB=Wooden FenceRecently, Vincent has just bought a farm. He plans to enjoy his retirement by raising horses and goats onhis new farm. In order to do that, he needs to build a fence to enclose his farm; otherwise, the horses andgoats may escape from his farm. Fortunately, he only needs to build a fence on one side of the farm; theremaining sides are naturally fenced.The fence must be exactly 2 unit high and form a perfect rectangle. Why a perfect rectangle? If the fencehas a hole on the upper part, then a horse might jump over it. On the other hand, if the fence has a hole onthe lower part, then a goat might crawl out of it.Vincent has N boards to be used to build the fence. Each board’s dimension is 1 × Li. Each board may beplaced horizontally (1 × Li) or vertically (Li × 1) as long as the resulting fence has a height of 2.Oh, have we told you that Vincent is infamous for his stinginess? Yes, he’s very stingy. He demands to useALL the available boards; he doesn’t care about the length of…
- Q11 Draw a DFA/NFA for the following: 1. L = (awbb: w (a,b)*} 2. L= (w1baw2: w1, w2e (a,b)* )T The information in DNA is stored as a code made up of four chemical bases which are represented by four upper case letters A, T, G, C. An example DNA sequence could be: ATGAG An interesting phenomena here is that when two DNA sequences are attempted to combine, A can only pair with T whereas G can only pair with C. Two DNA sequences for example ATGC and TACG are considered 'fully complementary' because the bases (letters) in every index position can be paired to each other (see the image). ATGC ATGC ATGC XX TACG Fully Complementary TACC SNP TTCA CA Non Complementary Two DNA sequences for example ATGC and TACC are considered 'SNP type' because there is exactly one index position (last position in this case) in which the bases(letters) can not be paired. Two DNA sequences for example ATGC and TTCA are considered "non complementary' because there are more than one index position (second and fourth in this case) in which the bases can not be paired. Write a program that will ask the user…INTRODUCTION: In chemistry, neutralization occurs when an acid and a base react with each other. Most chemistry occurs in water (that is, is aqueous); under these circumstances, neutralization leads to water with no excess hydrogen or hydroxide ions present. Neutralization can most simply be expressed as acid + base → salt + water For example, HCl + NaOH → NaCl + H2O The stoichiometry of the reaction depends on how much hydrogen ion and hydroxide ion each reactant provides. In this case, each molecule of HCl provides one hydrogen ion, and each molecule of NaOH provides one hydroxide ion. The one hydrogen and one hydroxide ion combine to form one molecule of water. For this assignment, suppose that you have been presented with several solutions of hydrochloric acid (HCl) and some of the most popular bases for wastewater treatment: magnesium hydroxide (Mg(OH)2), calcium carbonate (CaCO3), calcium oxide (CaO), sodium bicarbonate (NaHCO3), sodium hydroxide (NaOH), and ammonia…
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- Computer Science A tool is attached to link 3 of the manipulator. This tool is described by TTW, the tool frame relative to the wrist frame. Also, a user has described his work area, the station frame relative to the base of the robot, as TSB. Write the subroutine Procedure SOLVE(VAR trels: frame; VAR current, near, far: vec3; VAR sol: boolean); where “trels” is the {T} frame specified relative to the {S} frame. Other parameters are exactly as in the INVKIN subroutine. The definitions of {T} and {S} should be globally defined variables or constants. SOLVE should use calls to TMULT, TINVERT, and INVKINPercentVaR = function(r,alpha){ # This function returns the left tail value and displays a histogram # alpha = risk level. # r = a vector of stock returns # out = positively stated value or r at the 1-alpha percentile hist(r) out = # Get the lower tail value and return it's absolute value return(out) } Please finsh the function in R languageComputer Engineering HandsOn Lab: The Government of United States of America has decided to issue new currency notes with special protection features to so as to commemorate a great mathematician. They have decided to issue notes summing up to N and all the sums from 1 to N should only made by selecting some of the notes in only one unique way. With n = 5 the sets {1,1,1,1,1}, {1,2,2}, {1,1,3} are valid. Your task is to design a C++ code that output the solution in one line. Sample Input - 100 Sample Output - 3