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Assume that multiplying a matrix G1 of dimension ? × ? with another matrix G2 of dimension ? × ? requires ??? scalar multiplications. Computing the product of n matrices G1G2G3…Gn can be done by parenthesizing in different ways. Define Gi Gi+1 as an explicitly computed pair for a given paranthesization if they are directly multiplied. For example, in the matrix multiplication chain G1G2G3G4G5G6 using parenthesization (G1(G2G3))(G4(G5G6)), G2G3 and G5G6 are the only explicitly computed pairs.Consider a matrix multiplication chain F1F2F3F4F5, where matrices F1, F2, F3, F4 and F5 are of dimensions 2 × 25, 25 × 3, 3 × 16, 16 × 1 and 1 × 1000, respectively. In the parenthesization of F1F2F3F4F5 that minimizes the total number of scalar multiplications, the explicitly computed pairs is/are
How is 'No' coded in the code language ? Statements : I. 'Ne Pa Sic Lo' means 'But No None And' and 'Pa Lo Le Ne' means 'If None And But'. II. 'Le Se Ne Sic' means 'If No None Will' and 'Le Pi Se Be' means 'Not None If All'.
Question : How is 'No' coded in the code language ?

Statements :
I. 'Ne Pa Sic Lo' means 'But No None And' and 'Pa Lo Le Ne' means 'If None And But'.
II. 'Le Se Ne Sic' means 'If No None Will' and 'Le Pi Se Be' means 'Not None If All'.
What is the default access modifier for class members in Java if no access modifier is specified?
What is the default access modifier for a class in Java if no access modifier is specified?
Nine individuals - Z, Y, X, W, V, U, T, S and R - are the only candidates, who can serve on three committees-K1, K2 and K3, and each candidate should serve on exactly one of the committees. Committee K1 should consist of exactly one member more than committee K2. It is possible that there are no members in committee K3. Among Z, Y and X none can serve on committee 10. Among W, V and U none can serve on committee K2. Among T, S and R none can serve on committee K3. In case committee K2 is served by T and Z only, how many of the nine individuals should serve on committee K3?  Of the nine individuals, the largest number that can serve together on committee K3 is:
Nine individuals - Z, Y, X, W, V, U, T, S and R - are the only candidates, who can serve on three committees-K1, K2 and K3, and each candidate should serve on exactly one of the committees. Committee K1 should consist of exactly one member more than committee K2. It is possible that there are no members in committee K3. Among Z, Y and X none can serve on committee 10. Among W, V and U none can serve on committee K2. Among T, S and R none can serve on committee K3. In case committee K2 is served by T and Z only, how many of the nine individuals should serve on committee K3? 
Which of the following statements is/are correct? A. Fraternity is a core value of the Indian Constitution. B. It is a core value because it is explicitly mentioned in Part III of the Indian Constitution. C. It is not a core value of the Indian Constitution because it is not mentioned in the Constitution of India. D. It is a core value because it is a part of the Preamble and has been held to be part of the basic structure of the Constitution.
In the following question, two columns are given, containing three phrases each. A phrase from the first column may or may not connect with a phrase from the second column to make a grammatically and contextually correct sentence. There are five options, four of which display the sequence(s) in which the phrases can be joined to form a correct sentence. If none of the phrases make a correct sentence, mark ‘None of these’ as your answer. Column (1) Column (2) (A) There are a variety of ways to solve math problems and (D)  a variety of tools to assist with the calculation process. (B) Like reading, the majority of people (E) which graphs to use, not how to construct them. (C) Math today requires decisions about  (F) are born with the ability to do math. 
In the following question, two columns are given containing three phrases each. In the first column, phrases are A, B, and C, and in the second column, the phrases are D, E, and F. A phrase from the first column may or may not connect with a phrase from the second column to make a grammatically and contextually correct sentence. There are five options, four of which display the sequence(s) in which the phrases can be joined to form a grammatically and contextually correct sentence. If none of the options forms a correct sentence after combination, select ‘None of these’ as your answer. Column 1) Column 2) (A) The Consumer Protection Act should be implemented more strictly (D) but there are many dark sides to it once you enter into this (B) The music industry is now saturated with too many singers  (E) so that the businessmen become alert and are compelled to stop the unfair practice C) The showbiz business is not all rosy as it seems (F) and the lifetime of a singer is hence reduced to one or two songs only