from itertools import count, permutations def distinct_permutations(a: list): # -> Generator[list, None, None]: n = len(a) xs = a.copy() while 1: yield xs p = -1 for i in range(n-1): if xs[i] < xs[i+1]: p = i if p == -1: return q = -1 for i in range(p+1, n): if xs[p] < xs[i]: q = i xs[p], xs[q] = xs[q], xs[p] xs[p+1:] = reversed(xs[p+1:]) N = int(input()) s = set() if N == 1: s.add((0, 1, 1)) for x in count(): if 3*x*x > N: break for y in count(x): if x*x + y*y + y*x > N: break for z in count(y): if x == 0 and y == 0: break t = x*y + y*z + z*x if t > N: break if t == N: s.add((x, y, z)) ans = [] for e in s: for xs in distinct_permutations(list(e)): ans.append(xs[:]) print(len(ans)) for a in ans: print(*a)