Matrix-Chain Multiplication ProblemState and prove a theorem that establishes that the principle optimality holds for the Matrix-Chain Multiplication problem. (Input: p=(p0,p1,p2,...p)giving the sizes p0×p1,p1×p2,...p−1×pof the matrices in a Matrix-Chain product 1⋅2⋯. Output: a parenthesization of the product that minimizes the number of real number multiplications that must be performed to computethe product.)In other words, show how and why an optimal parenthesization is composed of optimal parenthesization of subproducts.

Write a modular program (no classes yet, just from what you learned last year), that allows two players to play a game of tic-tac-toe. use a two-dimensional char array with 3 rows and 3 columns as the game board. each element of the array should be initialized with an asterisk (*). the program should display the initial board configuration and then start a loop that does the following: allow player 1 to select a location on the board for an x by entering a row and column number. then redisplay the board with an x replacing the * in the chosen location. if there is no winner yet and the board is not yet full, allow player 2 to select a location on the board for an o by entering a row and column number. then redisplay the board with an o replacing the * in the chosen location. the loop should continue until a player has won or a tie has occurred, then display a message indicating who won, or reporting that a tie occurred. player 1 wins when there are three xs in a row, a column, or a diagonal on the game board. player 2 wins when there are three ox in a row, a column, or a diagonal on the game board. a tie occurs when all of the locations on the board are full, but there is no winner. input validation: only allow legal moves to be entered. the row must be 1, 2, or 3. the column must be 1, 2 3. the (row, column) position entered must currently be empty (i. e., still have an asterisk in it).

100 pts. first person gets brainliest

George is working as a programming team lead. which statements correctly describe the skills that he requires?