_{This problem is a programming version of Problem 45 from projecteuler.net}

Triangle, pentagonal, and hexagonal numbers are generated by the following formulae:

It can be verified that

For this challenge you are given , , , where and
where represents triangular numbers, represents pentagonal numbers and is hexagonal. It can be observed that all hexagonal numbers are triangular numbers so we'll handle only 2 kinds of queries as
, find all numbers below N which are Triangular number as well as Pentagonal
, find all numbers below N which are Pentagonal number as well as Hexagonal

Input Format
Input contains three integers

Output Format
Print the answer corresponding to the test case. Print numbers in ascending oder.

Constraints

Sample Input #00

10000 3 5

Sample Output #00

1
210

Sample Input #01

100000 5 6

Sample Output #01

1
40755