\(T\)-Tetrominoes KenKen Puzzle!

Logic Level 3

4-by-4 puzzle, consisting of 4 Tetrominoes!

4-by-4 puzzle, consisting of 4 Tetrominoes!

The following are the rules of the \(4\times 4\) Kenken above:

  • Each row contains exactly one of each digit 1 through 4.
  • Each column contains exactly one of each digit 1 through 4.
  • Each colored group of cells is a cage containing digits which achieve the result \((K)\) using the specified operation \((+\) or \(\times)\).

First, solve the puzzle, where \(K\) is a strictly positive integer.

If there is a unique value of \(K\), determine whether or not \(x + y + z + w = K\).

Otherwise, i.e. if you believe there are more than one solutions with different values of \(K\) for the given puzzle, choose "Multiple solutions."

\(\)
Note: Unlike standard Sudoku, KenKen can have cage(s) with repeated digits.

Hint: Observe the structure of this puzzle carefully. What can be said about those tetrominoes and the numbers in each row and column?

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