Farmer John has received an order for exactly $M$ units of milk ($1 \leq M \leq 200$) that he needs to fill right away. Unfortunately, his fancy milking machine has just become broken, and all he has are two milk pails of integer sizes $X$ and $Y$ ($1 \leq X, Y \leq 100$) with which he can measure milk. Both pails are initially empty. Using these two pails, he can perform up to $K$ of the following types of operations ($1 \leq K \leq 100$):

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