def root(n, m):
    for i in range(int(n ** (1 / m)) + 5, -1, -1):
        if i**m <= n:
            return i
    return 0


N = int(input())
ans = []

for i in range(1, 3 * root(N, 2)):
    if (N - i * (i - 1) // 2) % i != 0:
        continue
    x = (N - i * (i - 1) // 2) // i
    ans.append((1, x, x + i))

for e in range(2, 41):
    curr = 0
    right = 1
    for left in range(1, root(N, e) + 1):
        while curr + right**e <= N:
            curr += right**e
            right += 1

        if left == right:
            break

        if curr == N:
            ans.append((e, left, right))

        curr -= left**e
        left += 1

print(len(ans))
for e, l, r in ans:
    print(e, l, r - 1)