Consider a hash table of size m = 10000, and the hash function h(K) = oor (m(KA mod 1)) for A = ( √(5) – 1)/2. The key 123456is mapped to location ______*1 point46414348
Question
Consider a hash table of size m = 10000, and the hash function h(K) = oor (m(KA mod 1)) for A = ( √(5) – 1)/2. The key 123456is mapped to location ______*1 point46414348
Solution
To find the location where the key 123456 is mapped in the hash table, we need to use the given hash function.
First, we need to calculate the value of A, which is equal to (√(5) – 1)/2.
Next, we can substitute the value of A into the hash function: h(K) = floor(m(KA mod 1)).
Now, we can plug in the values of K (123456) and A into the hash function: h(123456) = floor(10000(123456((√(5) – 1)/2) mod 1)).
To simplify the calculation, we can evaluate (√(5) – 1)/2 and substitute it into the equation: h(123456) = floor(10000(123456(0.618033988749895 mod 1)).
Next, we can calculate the value inside the parentheses: 0.618033988749895 mod 1 = 0.618033988749895.
Now, we can substitute this value back into the equation: h(123456) = floor(10000(123456(0.618033988749895))).
To simplify the calculation further, we can multiply 123456 by 0.618033988749895: h(123456) = floor(10000(76440.073497)).
Next, we can multiply 76440.073497 by 10000: h(123456) = floor(764400734.97).
Finally, we can round down the result to the nearest integer: h(123456) = 764400734.
Therefore, the key 123456 is mapped to location 764400734 in the hash table.
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