|시간 제한||메모리 제한||제출||정답||맞은 사람||정답 비율|
|0.5 초||256 MB||32||13||11||57.895%|
Write a program that takes a natural number N and decomposes it as a sum of the minimum number of exact natural cubes. The program should find m1, m2, …, mk, such that each mi is a natural number, m13 +m23 +… +mk3 = N, and k is minimal.
The only line of the input file contains the number N (1 ≤ N ≤ 44,777,444).
Your program should write exactly two lines. The first line contains the number k - the minimum number of natural cubes. The second line contains k space-separated natural numbers - that raised to the power of 3 sum to N.
7 2 2 2 2 2 1 1
3 3 2 2