# Target Scores

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In the target game we have three darts in each turn. The score of each roll is added and we get the total that can be a maximum of 180 if the three dice fall in triple 20.

In case you do not know the game and its scoring method, you should know that each portion of the target is headed by a number that indicates the score of a dart that falls in that area. If the dart enters the innermost segment the score is doubled and if it falls in the outer segment the score is tripled. In addition, the center counts 50 points and the circle outside the center is worth 25 points. Darts that fall outside the target or beyond the doubles segment, in the area where the numbers appear, add zero points.

With this scoring system, not all values ​​between 0 and 180 can be achieved.

Can you tell me what values ​​between 0 and 180 cannot be achieved by rolling three dice?

#### Solution

Impossible values ​​are: 163, 166, 169, 172, 173, 175, 176, 178 and 179.