Virtual contest is a way to take part in past contest, as close as possible to participation on time. It is supported only ICPC mode for virtual contests.
If you've seen these problems, a virtual contest is not for you - solve these problems in the archive.
If you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.
Never use someone else's code, read the tutorials or communicate with other person during a virtual contest.
Santa Claus has n candies, he dreams to give them as gifts to children.
What is the maximal number of children for whose he can give candies if Santa Claus want each kid should get distinct positive integer number of candies. Santa Class wants to give all n candies he has.
The only line contains positive integer number n (1 ≤ n ≤ 1000) — number of candies Santa Claus has.
Print to the first line integer number k — maximal number of kids which can get candies.
Print to the second line kdistinct integer numbers: number of candies for each of k kid. The sum of k printed numbers should be exactly n.
If there are many solutions, print any of them.
2 2 3
3 3 5 1
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