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Futoshiki is a game played on an N by N (usually 5 by 5) grid and uses the symbols 1 .. N. The objective of the game is to place each symbol on the grid so that it only occurs once in every row and every column. This is like Sudoku but with the added constraint that a less than < or greater than > symbol may be placed between any two cells in the grid and that the symbols placed in those cells must obey that constraint.
1. Ideally your solution should follow the object oriented design methodology to produce the Futoshiki game and should use common design patterns (separating style/content/business logic/data access) where appropriate.
2. You are to create a web site that allows a user to play a standard (5 x 5) game of Futoshiki. Any casual visitor to the site should be presented with a game chosen at random.
3. You should provide a means to allow the player to enter numbers into each cell of the game. And you should also allow a player to check the correctness of their progress in the game.
4. You should allow a player to register with the site and then log in if they wish. The player's registration details (username, password, contact info) should be saved into a database table and used to validate logins. When a player who is logged in completes a game, that fact should be time-stamped and recorded in a database table.
Prove the equations using the Boolean algebraic theorems that is given below A‾BC + AB‾C + ABC‾+ ABC = AB + BC + AC Ans. The equation given is A‾BC + AB‾C + ABC‾+ ABC = AB + BC +
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