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In Shamirs (k,n)-threshold scheme, you have n shares and you can interpolate a polynomial Q of degree k ? 1 using any k of these

In Shamirs (k,n)-threshold scheme, you have n shares and you can interpolate a polynomial Q of degree k ? 1 using any k of these shares. Knowing the polynomial Q, you can restore the secret number. Suppose that k = 2, n = 5, and you have five shares
(1, 13), (2, 17), (3, 21), (4, 25), (5, 29). What is the polynomial Q and what is the secret number?

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