@Sunny.. why do we need an O(2^N) complexity?

for a value of N=40-50, the solution is not useful.. 

but, your 1st approach is lot better and i have got it too..

1. O(N) complexity to search the k. (k bits in the numbers)  x- (sigma 1->k 
(n C i))
2. again, keep substracting (k-i) for i= 0->k-1  so.. O(k) here
and recursively performing step 2. (worst case complexity is O(T))
where T = nCk

O(N) + O(T) ==> O(T) as it dominates the given number. unless it doesn't 
fall in the range.. or   equivalently -->  max( O(T), O(N) )

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