Codeforces div.2 B. The Child and Set
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
2k where
k is the position of the first one in the binary representation of
x. For example, lowbit(100102)?=?102,?lowbit(100012)?=?12,?lowbit(100002)?=?100002
(binary representation).
was equal to
Can you help Picks and find any set S, that satisfies all the above conditions?
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