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



Sample input:
10


Sample output:
1
2
3
4
5
6
7
8
9
19

Submission status: Wrong Answer

Solution code:
print(*[1, 2, 3, 4, 5, 6, 7, 8, 9, 19, 29, 39, 49, 59, 69, 79, 89, 99, 199, 299, 399, 499, 599, 699, 799, 899, 999, 1099, 1199, 1299, 1399, 1499, 1599, 1699, 1799, 1899, 1999, 2999, 3999, 4999, 5999, 6999, 7999, 8999, 9999, 10999, 11999, 12999, 13999, 14999, 15999, 16999, 17999, 18999, 19999, 20999, 21999, 22999, 23999, 24999, 25999, 26999, 27999, 28999, 29999, 30999, 31999, 32999, 33999, 34999, 35999, 36999, 37999, 38999, 39999, 40999, 41999, 42999, 43999, 44999, 45999, 46999, 47999, 48999, 49999, 50999, 51999, 52999, 53999, 54999, 55999, 56999, 57999, 58999, 59999, 60999, 61999, 62999, 63999, 64999, 65999, 66999, 67999, 68999, 69999, 70999, 71999, 72999, 73999, 74999, 75999, 76999, 77999, 78999, 79999, 80999, 81999, 82999, 83999, 84999, 85999, 86999, 87999, 88999, 89999, 90999, 91999, 92999, 93999, 94999, 95999, 96999, 97999, 98999, 99999, 100999, 101999, 102999, 103999, 104999, 105999, 106999, 107999, 108999, 109999, 110999, 111999, 112999, 113999, 114999, 115999, 116999, 117999, 118999, 119999, 120999, 121999, 122999, 123999, 124999, 125999, 126999, 127999, 128999, 129999, 130999, 131999, 132999, 133999, 134999, 135999, 136999, 137999, 138999, 139999, 140999, 141999, 142999, 143999, 144999, 145999, 146999, 147999, 148999, 149999, 150999, 151999, 152999, 153999, 154999, 155999, 156999, 157999, 158999, 159999, 160999, 161999, 162999, 163999, 164999, 165999, 166999, 167999, 168999, 169999, 170999, 171999, 172999, 173999, 174999, 175999, 176999, 177999, 178999, 179999, 180999, 181999, 182999, 183999, 184999, 185999, 186999, 187999, 188999, 189999, 190999, 191999, 192999, 193999, 194999, 195999, 196999, 197999, 198999, 199999, 200999, 201999, 202999, 203999, 204999, 205999, 206999, 207999, 208999, 209999, 210999, 211999, 212999, 213999, 214999, 215999, 216999, 217999, 218999, 219999, 220999, 221999, 222999, 223999, 224999, 225999, 226999, 227999, 228999, 229999, 230999, 231999, 232999, 233999, 234999, 235999, 236999, 237999, 238999, 239999, 240999, 241999, 242999, 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