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Inequality, or Futoshiki, is an exciting logic puzzle originated in Japan. Your goal in this game is to fill in all blanks with numbers as quickly as possible. In the first level of the game, you will be given a grid of 4x4 dimension. Some of the squares will be filled with numbers, while others are blank. You need to use numbers between 1 and the dimension of the grid, for example, numbers 1 to 4 will be used for filling in a 4x4 grid. Note that
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