Let S(n) denote the sum of the digits in the decimal notation of n. For example, S(123) = 1 + 2 + 3 = 6.

We will call an integer n a Snuke number when, for all positive integers m such that m > n, \frac{n}{S(n)} \leq \frac{m}{S(m)} holds.

Given an integer K, list the K smallest Snuke numbers.

Constraints

* 1 \leq K
* The K-th smallest Snuke number is not greater than 10^{15}.

Input

Input is given from Standard Input in the following format:


K


Output

Print K lines. The i-th line should contain the i-th smallest Snuke number.

Example

Input

10


Output

1
2
3
4
5
6
7
8
9
19
K = int(input())


def ns(n):
    ret, tmp = 0, n

    while tmp > 0:
        #        tmp, r = divmod(tmp, 10)
        r = tmp % 10
        tmp //= 10
        ret += r

    return ret


ans, base = 0, 1
for _ in range(K):
    ans += base
    print(ans)

    if (ans + base) / ns(ans + base) > (ans + 10 * base) / ns(ans + 10 * base):
        base *= 10