You are given an array A[1 : n] which includes the scores of n players in a game. You are additionally given an array B[1 : m] with the score of m new players. Design and analyze an algorithm that given both arrays A and B, can find the rank of each player B inside the array A, i.e., for each B[i], determines what would be the rank of B[i] in the array consisting of all elements of A plus B[i]. Your algorithm should run in O((n + m) ·log n) time.

You are given an array A[1 : n] which includes the scores of n players in a game. They are

ranked in the following way: Rank of a player is an integer r if there are exactly r −1 distinct scores strictly

smaller than the score of this player (irrespective of the number of players).

Question: Suppose you are additionally given an array B[1 : m] with the score of m new players. Design and

analyze an algorithm that given both arrays A and B, can find the rank of each player B inside the

array A, i.e., for each B[i], determines what would be the rank of B[i] in the array consisting of all

elements of A plus B[i]. Your algorithm should run in O((n + m) ·log n) time.

You are given an array A[1..n] of positive numbers where Ai] is the stock price on day i. You are allowed to buy the stock once and sell it at some point later. For each day you own the stock you pay S1 fee. Design a divide-and-conquer algorithm that will return a pair (i,j) such that buying the stock on day i and selling it on day j will maximize your gain The complexity of the algorithm has to be O(n log n) You are given an array A[1..n] of positive numbers where Ai] is the stock price on day i. You are allowed to buy the stock once and sell it at some point later. For each day you own the stock you pay S1 fee. Design a divide-and-conquer algorithm that will return a pair (i,j) such that buying the stock on day i and selling it on day j will maximize your gain The complexity of the algorithm has to be O(n log n)

You are given an array A[1..n] of positive numbers where Ai] is the stock price on day i. You are allowed to buy the stock once and sell it at some point later. For each day you own the stock you pay S1 fee. Design a divide-and-conquer algorithm that will return a pair (i,j) such that buying the stock on day i and selling it on day j will maximize your gain The complexity of the algorithm has to be O

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