The ISBN of a book is a unique 13-digit code', also known as ISBN-13, that encodes information about the publisher, registrant, place of publication, and so on. If the ISBN-13 of a book is Y1Y2Y3 •· * · Y13, then it must satisfy the following congruence: y1 + 3y2 + y3 + 3y4 + y5 + 3y6 + y7 + 3ys + yo + 3y10 + y11 + 3y12 + Y13 = 0 (mod 10). (a) Find a book at home and take a picture of it showing the 13-digit ISBN. Then show that its ISBN satisfies this congruence. (b) Suppose vou have another book whose ISBN is partially erased so that vou can't read the fifth digit

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