Problem:
Score : 500 points

Problem Statement

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.

Sample Input 1

10

Sample Output 1

1
2
3
4
5
6
7
8
9
19

Solution in Python (3.4.3) (judge verdict: Runtime Error)

list1=[]
for i in range(1,200):
    if i<=9:
        list1.append(i)
    elif i%10==0:
        pass
    elif i<=19:
        a=(i-10)*10+9
        list1.append(a)
    elif i<=29:
        a=(i-20)*100+99
        list1.append(a)
    elif i<=39:
        a=(i-30)*1000+999
        list1.append(a)
    elif i<=49:
        a=(i-40)*10000+9999
        list1.append(a)
    elif i<=59:
        a=(i-50)*100000+99999
        list1.append(a)
    elif i<=69:
        a=(i-60)*1000000+999999
        list1.append(a)
    elif i<=79:
        a=(i-70)*10000000+9999999
        list1.append(a)
    elif i<=89:
        a=(i-80)*100000000+99999999
        list1.append(a)
    elif i<=99:
        a=(i-90)*1000000000+999999999
        list1.append(a)
    elif i<=109:
        a=(i-100)*10000000000+9999999999
        list1.append(a)
    elif i<=119:
        a=(i-110)*100000000000+99999999999
        list1.append(a)
    elif i<=129:
        a=(i-120)*1000000000000+999999999999
        list1.append(a)
    elif i<=139:
        a=(i-130)*10000000000000+9999999999999
        list1.append(a)
    elif i<=149:
        a=(i-140)*100000000000000+99999999999999
        list1.append(a)
    elif i<=159:
        a=(i-150)*1000000000000000+999999999999999
        list1.append(a)
    elif i<=169:
        a=(i-160)*10000000000000000+9999999999999999
        list1.append(a)
    elif i<=179:
        a=(i-170)*100000000000000000+99999999999999999
        list1.append(a)
#print(list1[143])
K=int(input())
for j in range(K):
    print(list1[j])