Rashida purchases a house for $$330,000$ and takes a mortgage for the full amount. Her mortgage charges $8\%$ per year and interest is compounded monthly. She will repay the loan over $20$ years with equal monthly payments. How much of the $1st$ payment would be applied toward interest and how much of the $1$st payment would be principal?

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Interest $=$$

Principal $=$$

Carry all interim calculations to $5$ decimal places and then round your final answers to a whole number. The tolerance is $+-2.$