Codeforcesdiv.2B.TheChildandSet

At the children's day, the child came to Picks's house, and messed his house up. Picks was angry at him. A lot of important things were lost, in particular the favorite set of Picks. Fortunately, Picks remembers something about his set S :

At the children's day, the child came to Picks's house, and messed his house up. Picks was angry at him. A lot of important things were lost, in particular the favorite set of Picks.

Fortunately, Picks remembers something about his set S :

its elements were distinct integers from 1 to limit ; the value of was equal to sum ; here lowbit ( x ) equals 2 k where k is the position of the first one in the binary representation of x . For example, lowbit (10010 2 )?=?10 2 ,? lowbit (10001 2 )?=?1 2 ,? lowbit (10000 2 )?=?10000 2 (binary representation).

Can you help Picks and find any set S , that satisfies all the above conditions?

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