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You and your eight-year-old nephew Elmo decide to play a simple card game. Atthe beginning of the game, the cards are dealt face up in a long row. Each card isworth a different number of points. After all the cards are dealt, you and Elmo taketurns removing either the leftmost or rightmost card from the row, until all the cardsare gone. At each turn, you can decide which of the two cards to take. The winner ofthe game is the player that has collected the most points when the game ends.Having never taken an algorithms class, Elmo follows the obvious greedy strategy-when it's his turn, Elmo always takes the card with the higher point value.Your task is to find a strategy that will beat Elmo whenever possible. (It might seemmean to beat up on a little kid like this, but Elmo absolutely hates it when grown-upslet him win.)(a) Prove that you should not also use the greedy strategy. That is, show that thereis a game that you can win, but only if you do not follow the same greedystrategy as Elmo.(b) Describe and analyze an algorithm to determine, given the initial sequence ofcards, the maximum number of points that you can collect playing against Elmo.(c) Five years later, Elmo has become a much stronger player. Describe andanalyze an algorithm to determine, given the initial sequence of cards, the maximum number of points that you can collect playing against a perfect opponent.
Use the Diffie-Hellman public-key algorithm to exchange secret keys.
"sort an array of 10,000 elements using quick sort algorithm as follows: sort the array using pivot as middle element of the array
Prove that 2n-1 comparisons are necessary in the worst case to merge two sorted lists containing n elements each.
Develop the pseudo code needed to find the average of ten 8-bit numbers. Use a loop.
If receiver A receives 101010010011100100011101 and another receiver, B, receives 101011111111100100011101 compute the result for each receiver after error detection algorithm is run?
Classical Towers of Hanoi problem starts with a stack of n > = 1disks on one of three pegs. Solving problem needs moving stack from peg A to peg B in such a way which only one disc is moved at time and no disc can be placed on top of a disc smalle..
Assume we have problem space where there is uniform branching factor b and there is single goal node at depth m. Determine the minimum number of nodes expanded and storage required for BFS and DFS?
Illustrate how output of the leaky bucket policer can be fed into second leaky bucket policer so that two leaky buckets in series police average rate, peak rate, and burst size.
Write the algorithm, by using pseudo code, to do the following task. Given string of numbers, identify all the substrings which form numbers that are divisible by 3.
Assume you were in a nation where each person was either a truth teller or a liar. Determine what single question could you ask a person that would permit you to detect whether that person was a truth teller or a liar?
Write specifications using UML notation for a function that computes the sum of the first five positive integers in an array of n arbitrary integers.
The tax authorities working for many governments are often confronted with challenge of detecting tax evasion and fraud. Suppose you work at income tax department.
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