Let x and y be unknown digits. The 200-digit number $89 252 525 . . . 2 525$ is multiplied by the number $\overline{444 x18 y27}$. It turns out that the 53-rd digit from the right of the product is 1, and the 54-th digit is 0. Please provide the value of x + y.

Let's think step by step and output the final answer within \boxed{}.
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