I know that in Double Hashing,
h1(key) = key mod 11
h2(key) = 7 - (key mod 7)
The h1
represents starting at location h1(key), h2
represents the size of the step taken.
But I do not know how to solve for the probe sequence.
For example, if key is 14
.
Can you explain to me why the answer is 3,10,6,2,9,5,1,8,4,0
.
In your example, the size of the table is 11 (positions numbered 0 to 10). The size of the step is the number to add to the current position to get the next position (modulus the size of the table).
h1 = 14 mod 11 = 3
h2 = 7 - (14 mod 7) = 7 - 0 = 7
So, the first position, call it p
, is 3, as given by h1
. Each subsequent position, p'
is given by --
p' = (p + h2) mod table_size
for this example,
p' = (p + 7) mod 11
so, the second position is --
(3 + 7) mod 11 = 10 mod 11 = 10
and the third is --
(10 + 7) mod 11 = 17 mod 11 = 6
and so on.