Given that N person (numbered 1 to N) standing as to form a circle. They all have the gun in their hand which is pointed to their leftmost Partner.
Every one shoots such that 1 shoot 2, 3 shoots 4, 5 shoots 6 …. (N-1)the shoot N (if N is even otherwise N shoots 1).
Again on the second iteration, they shoot the rest of remains as above mentioned logic (now for n as even, 1 will shoot to 3, 5 will shoot to 7 and so on).
The task is to find which person is the luckiest(didn’t die)?
Input: N = 3
As N = 3 then 1 will shoot 2, 3 will shoot 1 hence 3 is the luckiest person.
Input: N = 8
Here as N = 8, 1 will shoot 1, 3 will shoot 4, 5 will shoot 6, 7 will shoot 8, Again 1 will shoot 3, 5 will shoot 7, Again 1 will shoot 5 and hence 1 is the luckiest person.
This problem has already been discussed in Lucky alive person in a circle | Code Solution to sword puzzle. In this post, a different approach is discussed.
- Take the Binary Equivalent of N.
- Find its 1’s compliment and convert its equal decimal number N`.
- find |N – N`|.
Below is the implementation of the above approach:
Alternate Shorter Implementation :
The approach used here is same.
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Improved By : khushboogarg659