Question

h(k) = k mod 701 = 9 and 0\le k \le2000 , find two keys for which h(k) = 9

If k2= k1 +1 what can you say about h(k1) and h(k2)

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Answer #1

The given expression means that when you divide the number k by 701 you get 9 as the remainder.

So using the fact that 0<k<2000 , we can take the two keys of k as

K = 710 , 1411 as when we divide these numbers by 701 we get 9 as the remainder

Now, k2= k1+ 1.

For h(k2) , k1 can be taken as 709 and 1409 . So that we get k2= 710 and 1411 which satisfies the equation

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