Comments (1)
Was it the same as 17.4 in the 6th edition?
Missing Number: An array A contains all the integers from 0 to n, except for one number which
is missing. In this problem, we cannot access an entire integer in A with a single operation. The
elements of A are represented in binary, and the only operation we can use to access them is "fetch
the jt h bit of A[ i]," which takes constant time. Write code to find the missing integer. Can you do
it in 0( n) time?
I had the same thought, but it actually works.
The explanation for MSB is invalid though - the number of bits at MSB won't be the same if the N
is different than 2^k - 1
It works at MSB, because at this point we basically have 2 options to choose from.
We have established a pattern: X010101010...01101
and here MSB can be 0 or 1.
There're only 2 numbers with this pattern.
If one with 0
is missing, then (count of 0s) < (count of 1s = 1)
If one with 1
is missing, then (count of 0s = 1) > (count of 1s = 0)
It seems that it accidentally worked :D
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