Problem:
Score : 300 points

Problem Statement

Let f(n) be the number of triples of integers (x,y,z) that satisfy both of the following conditions:

1 \leq x,y,z

x^2 + y^2 + z^2 + xy + yz + zx = n

Given an integer N, find each of f(1),f(2),f(3),\ldots,f(N).

Constraints

All values in input are integers.

1 \leq N \leq 10^4

Input

Input is given from Standard Input in the following format:

N

Output

Print N lines. The i-th line should contain the value f(i).

Sample Input 1

20

Sample Output 1

0
0
0
0
0
1
0
0
0
0
3
0
0
0
0
0
3
3
0
0

For n=6, only (1,1,1) satisfies both of the conditions. Thus, f(6) = 1.

For n=11, three triples, (1,1,2), (1,2,1), and (2,1,1), satisfy both of the conditions. Thus, f(6) = 3.

For n=17, three triples, (1,2,2), (2,1,2), and (2,2,1), satisfy both of the conditions. Thus, f(17) = 3.

For n=18, three triples, (1,1,3), (1,3,1), and (3,1,1), satisfy both of the conditions. Thus, f(18) = 3.

Solution in C (Clang 10.0.0) (judge verdict: Accepted)

#include <stdio.h>
int main() {
  int n;
  scanf("%d", &n);
  int aa[]={0,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,3,3,0,0,0,0,0,1,6,0,3,0,0,0,0,0,3,3,6,0,0,3,0,0,0,0,3,3,6,0,6,0,0,0,3,0,0,1,6,0,6,6,0,0,6,0,0,0,0,3,3,3,6,0,6,3,6,0,0,0,6,0,0,0,3,3,9,0,6,3,6,0,3,6,0,0,0,0,6,1,6,0,6,6,0,3,12,0,6,0,0,3,6,0,0,0,3,3,12,0,6,3,6,0,3,6,9,0,6,0,0,0,3,6,3,3,6,0,6,3,12,0,3,6,6,0,6,0,6,3,6,0,0,1,6,3,12,6,0,0,12,0,6,0,6,6,12,0,0,6,0,0,6,0,12,3,6,0,6,3,9,6,3,6,6,0,6,0,6,0,15,6,0,0,6,0,3,3,12,0,12,6,6,0,3,6,6,3,12,0,6,0,9,6,0,0,6,3,12,1,6,6,6,6,0,0,18,0,12,0,3,6,12,0,0,6,3,6,12,0,12,0,0,0,9,3,9,6,12,3,12,0,3,6,6,0,12,0,12,0,9,9,0,0,6,3,6,3,12,6,9,3,6,0,12,3,6,3,9,6,12,6,6,0,6,0,9,6,6,0,12,3,6,0,9,6,6,1,6,0,21,12,6,0,12,0,12,0,0,6,15,6,0,6,12,0,12,0,12,0,0,0,12,0,12,12,3,3,18,3,6,3,6,6,9,9,18,0,6,0,12,0,9,6,0,3,12,3,6,6,12,6,6,0,0,0,15,3,18,3,18,3,12,6,3,6,9,0,12,0,12,0,18,12,0,0,12,3,6,0,6,6,9,6,0,0,18,1,18,3,12,6,6,6,12,0,15,6,12,6,18,0,0,6,0,9,12,0,18,0,6,3,12,0,12,12,0,0,12,0,3,6,12,6,18,9,18,0,9,6,18,0,6,0,6,3,27,6,6,6,6,3,6,0,12,6,9,0,6,0,18,0,9,9,15,3,12,6,6,3,9,6,12,12,18,0,18,0,6,6,21,6,0,0,6,3,15,6,12,6,18,0,0,0,12,6,6,3,6,4,18,6,12,6,3,9,30,0,18,0,6,6,12,6,6,9,12,0,18,6,18,0,6,0,12,0,6,12,6,3,18,0,6,6,6,6,15,3,24,0,6,3,18,0,12,6,12,6,24,0,15,18,9,6,0,0,18,3,6,0,15,12,12,6,6,0,18,0,6,3,12,0,12,6,6,9,9,6,24,3,24,0,9,12,6,6,12,0,12,0,21,9,15,6,12,3,18,3,12,6,12,6,0,0,12,0,12,6,24,0,6,12,6,1,9,6,12,6,24,0,18,3,12,6,6,12,24,0,12,6,15,6,18,0,18,0,0,0,18,9,21,12,0,6,18,0,9,6,6,6,12,0,12,0,9,9,27,6,6,3,18,6,21,6,6,12,12,0,12,0,24,12,0,0,24,3,24,6,12,12,18,0,0,0,12,0,18,3,15,6,12,9,6,0,15,6,9,12,24,0,12,3,6,6,21,6,18,3,18,0,21,12,15,6,6,0,12,3,12,9,18,9,12,6,6,6,24,0,18,3,24,0,6,6,0,6,9,6,6,4,30,0,18,12,9,6,24,0,18,0,9,12,21,6,6,12,12,0,18,0,21,15,12,0,12,6,12,12,18,0,18,0,6,0,9,12,18,6,30,0,0,0,24,6,9,3,12,6,30,3,6,12,6,12,12,0,36,0,6,3,27,12,12,6,6,6,24,0,12,6,12,0,18,0,18,15,18,3,18,6,12,6,6,12,3,6,6,0,12,3,39,3,12,12,12,3,18,0,21,12,21,6,18,0,12,0,9,9,12,9,24,9,12,6,12,6,33,0,6,0,18,0,9,15,12,6,24,6,6,3,15,6,15,12,18,0,18,1,18,6,12,6,6,0,24,6,24,12,18,6,24,0,6,6,12,15,24,0,24,6,6,0,18,0,15,18,12,0,24,0,12,6,12,12,18,6,24,0,0,6,24,3,12,0,12,6,30,9,6,12,24,12,12,0,15,18,12,0,18,0,24,6,15,6,18,3,18,3,12,6,24,12,12,12,6,0,36,0,18,3,6,12,6,9,12,0,3,12,36,0,30,0,12,0,18,6,12,9,12,6,24,3,18,12,15,9,24,0,18,6,18,9,18,12,6,6,24,3,24,0,12,12,12,0,6,0,27,12,18,3,30,3,18,6,0,12,15,6,18,0,24,0,9,6,9,12,18,7,24,0,24,12,15,12,24,0,24,0,6,9,30,9,6,6,0,9,33,12,36,0,12,0,18,0,6,21,12,6,36,6,0,3,18,6,12,6,24,0,12,3,24,6,9,12,6,6,30,6,18,12,9,9,12,0,30,3,18,3,27,6,30,12,12,0,24,0,27,12,6,0,24,3,18,18,9,6,18,0,12,3,33,18,12,9,6,0,12,6,30,0,24,12,12,0,30,6,6,6,0,6,24,0,12,0,18,15,33,6,30,15,18,0,9,12,24,9,12,0,18,6,27,18,15,6,18,3,24,0,6,6,36,12,18,0,12,3,30,3,12,6,12,15,6,0,18,12,15,9,30,0,18,6,12,12,18,6,6,3,24,1,27,12,18,6,18,0,24,0,18,15,15,21,30,6,12,12,18,0,30,6,24,0,6,0,18,6,36,12,6,6,36,0,6,12,12,12,24,0,30,0,9,6,18,0,18,12,12,6,24,6,9,15,12,0,12,6,30,9,18,0,42,3,18,6,12,18,33,12,12,0,18,0,21,12,12,12,24,6,30,0,27,18,6,12,6,0,24,0,18,15,30,0,18,12,6,0,21,6,21,12,24,0,30,0,6,6,6,12,24,0,30,12,9,12,21,3,24,0,12,3,21,18,9,18,18,6,30,3,42,6,21,6,30,0,6,3,24,9,36,6,6,9,12,6,18,12,33,9,12,0,24,9,9,6,3,18,36,6,18,0,24,6,6,6,18,0,12,0,30,3,39,12,12,7,18,0,15,18,18,9,36,0,24,6,6,18,30,0,18,9,18,3,24,6,21,12,24,0,30,3,33,24,12,6,18,6,6,6,18,6,18,12,18,0,24,6,36,3,18,6,0,12,30,0,9,24,18,0,24,0,18,0,0,12,30,15,30,6,18,3,30,0,24,18,12,0,36,3,24,12,15,18,18,6,24,3,24,12,18,12,24,0,0,6,39,6,24,3,18,3,42,6,12,12,15,9,30,0,12,0,18,6,18,12,24,15,12,0,12,12,30,12,12,0,18,0,15,15,18,18,30,3,24,12,9,6,48,0,18,0,30,0,21,6,12,12,24,12,18,3,48,24,6,6,18,0,36,0,12,15,27,6,12,12,18,6,27,6,12,9,18,0,24,6,18,18,21,0,36,0,12,0,18,12,21,18,24,0,12,1,18,9,21,18,6,9,42,3,36,12,12,12,30,0,12,6,21,12,36,6,24,9,12,6,12,12,24,12,18,0,42,0,15,6,15,15,42,6,30,6,12,12,18,12,18,0,6,6,36,0,30,18,6,0,6,0,30,18,18,0,42,0,18,6,15,18,24,0,12,6,36,9,33,12,12,12,18,0,36,0,21,21,15,18,18,15,18,0,18,6,42,6,24,0,18,3,42,6,18,12,12,12,18,0,15,12,18,12,36,0,30,12,3,21,18,0,30,6,24,0,27,12,18,12,6,0,12,0,36,15,15,3,36,12,18,6,30,6,33,12,12,0,12,6,24,6,54,18,12,3,36,9,9,12,12,18,36,0,6,0,21,15,27,9,24,12,30,6,24,6,27,18,12,0,30,0,21,12,18,6,30,0,18,0,21,18,21,6,30,0,24,3,6,6,15,27,12,10,42,6,36,12,12,6,24,0,24,6,12,12,48,6,18,12,0,3,51,6,30,6,24,0,24,0,30,21,15,12,24,9,18,6,18,12,30,9,24,0,18,0,27,18,9,6,18,9,54,0,18,24,21,18,12,0,24,0,12,0,30,9,30,12,6,9,24,6,15,15,18,0,30,3,33,18,21,12,42,3,30,6,6,24,27,6,12,0,24,3,42,6,42,9,12,6,18,6,24,12,12,12,54,0,6,12,18,6,18,18,30,12,30,0,18,0,27,18,24,0,18,0,15,24,21,6,24,3,36,6,6,6,45,21,18,0,18,6,33,3,18,0,24,15,30,0,30,24,12,6,36,0,24,3,21,24,18,15,30,3,12,6,42,12,12,12,6,0,54,6,30,15,24,18,24,6,12,0,9,6,30,0,48,0,24,0,15,12,39,12,24,6,24,6,15,30,12,6,24,0,24,3,24,12,24,6,6,18,12,4,54,6,21,18,18,0,36,6,24,9,30,12,24,9,36,6,12,18,42,3,30,0,6,9,21,6,12,30,30,6,30,0,27,12,9,18,30,0,36,0,18,9,42,6,24,12,0,6,51,12,24,12,12,0,18,6,
  12,18,6,6,36,3,54,9,18,6,27,12,18,0,30,0,39,9,18,18,12,9,30,6,21,12,27,18,24,0,12,0,42,18,42,6,24,15,18,0,24,12,45,12,6,0,54,0,15,21,6,6,30,6,18,12,24,18,30,6,36,0,12,3,24,12,18,18,18,12,24,0,33,12,27,6,42,0,18,6,9,15,30,6,30,6,12,6,18,6,33,15,30,0,36,3,27,21,33,24,30,9,24,0,12,18,33,6,6,0,18,3,57,12,24,18,30,9,18,0,18,12,27,12,36,0,36,6,12,6,27,12,30,9,24,6,39,18,12,24,12,0,30,0,30,6,15,15,18,3,24,18,9,12,30,9,30,0,18,6,42,18,30,0,6,10,48,0,24,12,12,18,48,0,30,3,30,15,18,6,24,18,18,0,42,6,36,15,24,0,42,12,21,24,12,12,24,0,12,6,18,18,60,6,30,0,12,0,24,0,12,18,30,15,42,0,33,30,6,6,12,0,42,3,27,6,33,12,36,12,18,0,30,6,18,12,12,0,18,6,15,27,27,6,42,6,36,9,18,30,33,9,30,0,6,6,54,6,36,24,24,0,30,3,12,6,21,24,30,0,24,0,24,12,42,9,42,21,12,12,27,12,27,6,12,0,48,6,12,18,12,12,36,6,30,0,24,0,42,12,12,0,36,0,24,15,21,21,18,6,12,9,36,18,18,15,42,0,18,6,9,18,48,12,30,9,24,3,33,6,18,18,18,0,36,3,54,24,3,12,36,9,36,6,30,12,36,12,24,0,18,6,24,6,42,0,24,18,18,0,9,30,39,12,42,0,36,0,12,12,21,12,18,12,24,6,45,6,18,24,18,0,36,0,42,15,18,6,24,6,12,12,18,12,30,6,18,0,30,1,30,9,57,9,12,9,48,6,21,24,18,12,66,0,18,6,9,24,24,24,30,12,18,0,48,6,24,18,18,0,24,3,27,18,24,12,36,6,48,6,15,18,42,6,24,0,12,12,36,6,6,24,12,3,48,0,48,18,0,12,18,0,36,6,18,9,54,15,12,12,6,6,39,6,24,18,42,0,30,0,33,18,24,18,18,9,18,0,15,18,54,0,36,0,24,0,48,24,15,18,18,12,42,9,24,12,36,21,30,0,36,12,24,3,30,0,48,15,12,6,15,18,18,18,24,0,30,0,24,24,18,9,72,0,30,6,21,18,30,6,24,0,0,6,24,18,42,12,6,15,36,0,30,18,30,12,24,0,6,0,18,12,54,9,36,9,36,9,30,6,27,27,24,0,54,6,21,18,21,6,36,15,36,3,30,12,6,18,30,0,18,6,54,0,30,21,36,9,30,6,30,24,24,6,30,0,36,12,9,24,24,12,18,9,30,0,48,12,24,12,12,0,48,0,18,12,24,24,30,6,18,12,21,12,24,0,66,0,12,0,30,9,24,24,18,13,42,3,18,18,27,24,24,0,30,6,15,18,39,12,12,9,36,12,54,12,42,18,6,0,36,0,51,18,12,0,66,12,24,0,6,24,51,12,24,0,24,0,33,6,18,18,30,6,42,3,18,30,15,15,30,0,30,6,30,12,48,12,24,12,12,9,36,6,36,6,12,0,30,0,24,21,24,15,42,12,24,6,9,18,15,9,42,0,24,12,66,12,30,24,6,9,54,0,36,12,21,12,36,0,24,3,24,15,36,6,30,24,12,6,33,6,39,21,30,0,42,6,12,30,30,18,36,0,48,3,36,12,30,18,18,0,24,0,30,6,33,21,24,6,18,12,24,12,12,15,48,0,24,6,21,21,60,6,24,12,18,0,30,12,15,12,24,0,24,3,60,27,18,12,30,3,24,9,21,12,60,18,24,0,24,9,33,6,36,12,24,15,42,6,27,36,27,6,42,0,42,6,12,15,15,24,42,18,12,0,33,6,21,18,24,0,48,3,36,9,24,24,30,6,36,0,39,18,60,6,18,0,12,6,21,27,30,0,18,6,42,6,42,18,24,9,48,0,6,6,18,18,18,6,18,15,30,4,60,12,30,30,18,0,36,0,27,18,30,18,48,9,30,12,18,6,42,9,48,0,18,6,42,6,30,24,12,3,36,0,36,36,15,18,30,0,66,0,12,18,42,9,24,15,18,12,54,6,18,21,36,0,30,6,24,24,12,6,24,9,36,12,6,12,45,12,36,0,36,0,48,3,24,18,12,24,36,0,30,12,30,21,30,0,6,15,18,15,66,12,42,3,12,0,39,12,30,12,18,0,54,6,30,24,9,12,60,12,30,12,30,24,24,18,30,0,36,0,27,9,45,18,24,12,24,0,36,24,12,6,60,0,18,0,24,15,51,9,24,12,30,12,27,18,51,18,24,0,36,6,27,27,12,30,36,6,30,0,12,6,42,0,18,0,18,0,48,12,45,24,6,15,42,6,12,18,27,9,54,0,42,3,33,12,15,12,54,18,30,6,36,18,21,30,18,0,48,3,30,18,36,6,18,0,18,12,57,24,42,6,24,0,18,12,36,18,30,12,36,3,78,0,24,6,6,36,42,0,24,0,21,15,33,6,42,18,12,3,30,12,30,27,24,0,42,12,39,12,30,12,30,15,30,6,12,24,54,6,24,0,18,6,33,12,18,24,24,7,30,0,60,24,21,12,30,0,48,6,18,15,39,12,18,18,18,0,48,12,54,18,42,0,30,0,15,30,27,18,72,0,30,15,12,12,30,18,36,0,6,3,60,15,24,18,6,18,54,6,21,24,24,12,30,0,30,6,30,15,54,6,48,12,30,12,36,0,24,3,24,0,54,6,18,30,15,6,42,9,36,0,21,30,15,12,12,0,24,3,72,0,51,39,24,12,30,3,33,18,15,12,42,0,30,12,27,24,51,12,42,12,18,3,42,12,39,18,12,0,30,0,24,21,21,21,30,6,66,12,12,6,69,21,30,0,24,6,45,12,12,18,42,12,18,0,39,30,33,12,54,0,12,0,12,18,36,9,30,9,24,9,60,12,30,12,12,0,42,9,42,18,45,24,42,6,12,9,24,6,30,12,42,0,30,6,15,15,30,12,18,12,54,6,21,30,12,33,60,0,48,0,30,15,42,6,24,24,30,0,36,18,33,18,12,0,60,0,72,15,12,9,30,12,24,15,21,24,51,12,24,0,24,6,12,6,33,24,36,9,54,6,27,24,30,6,48,0,24,3,36,27,42,15,18,18,12,6,54,6,30,15,36,0,12,12,18,24,21,18,30,3,60,0,33,12,36,18,48,0,24,1,39,12,24,18,24,9,66,6,48,24,12,12,42,0,24,6,18,12,63,6,36,24,18,0,39,12,39,24,24,0,54,6,15,24,15,24,48,3,36,12,12,24,39,18,36,0,42,6,42,6,60,24,12,18,18,0,45,6,6,6,72,0,30,6,24,9,36,12,24,9,30,15,36,18,33,24,6,0,54,0,33,36,18,24,36,6,18,6,24,18,75,6,18,0,18,0,48,9,36,18,42,9,30,0,27,36,24,15,42,0,42,18,36,12,18,12,72,9,24,0,54,18,21,24,12,0,60,0,24,24,39,12,42,18,30,6,9,12,48,12,30,0,18,12,36,15,48,18,18,3,42,6,42,18,18,24,54,0,36,0,24,36,42,0,12,27,30,6,60,6,30,24,12,0,36,3,42,12,18,12,36,9,30,0,15,18,33,12,54,0,30,6,33,21,27,30,42,12,54,9,42,24,27,6,36,0,24,12,24,12,45,24,12,6,30,12,69,12,42,12,30,0,24,0,42,18,24,15,60,9,48,18,18,24,27,12,36,0,30,0,54,9,30,18,24,15,48,0,24,24,45,24,24,0,18,6,36,9,54,15,24,12,12,6,18,12,54,18,12,0,60,3,48,30,12,18,60,6,24,3,36,12,33,12,36,0,36,6,36,3,33,24,12,13,42,12,27,18,30,12,54,0,30,12,21,39,54,6,54,18,18,0,33,12,36,36,36,0,30,0,42,33,18,18,36,12,30,3,30,12,66,6,30,0,18,12,63,18,24,6,30,12,48,9,6,24,30,12,42,0,72,0,30,12,48,3,24,15,12,12,66,18,9,36,12,0,54,0,54,18,15,30,36,6,12,0,21,18,54,12,30,0,6,0,36,1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  54,36,30,12,42,9,60,18,12,24,69,6,60,0,54,6,33,15,60,36,30,18,90,3,72,24,54,54,42,0,18,9,60,30,84,18,48,24,12,6,66,36,24,27,24,0,42,12,39,42,27,18,108,9,78,0,48,12,54,30,30,0,36,0,48,12,75,39,30,6,42,9,66,30,33,18,96,0,48,18,39,36,102,12,54,18,24,9,45,24,72,30,36,0,78,6,63,36,36,21,60,9,36,12,54,24,78,27,42,0,42,18,60,9,24,24,54,39,84,0,27,36,39,12,84,0,66,0,21,30,30,42,66,18,18,18,78,12,48,42,36,0,90,6,48,33,39,24,48,15,54,15,54,24,48,18,60,0,24,0,48,24,78,24,36,9,90,12,42,24,30,45,54,0,66,12,24,12,60,6,48,33,48,0,60,6,51,54,12,0,30,0,69,21,42,15,72,15,48,21,33,36,96,6,30,0,54,6,87,30,42,30,36,13,42,6,84,48,18,18,72,0,54,12,30,30,75,24,36,24,42,18,78,12,36,30,72,0,48,6,33,36,57,36,66,6,54,0,27,36,66,12,90,0,24,3,96,24,27,24,18,24,108,12,42,48,24,18,30,0,54,18,48,12,75,18,90,21,36,12,72,12,45,24,24,0,114,0,27,30,39,33,48,12,54,12,18,42,45,27,48,0,48,6,90,9,60,42,36,12,48,0,36,42,42,18,78,0,30,6,24,33,78,9,84,30,18,15,63,18,51,30,48,0,72,6,36,51,24,30,48,21,96,6,24,6,93,12,48,0,18,6,69,18,36,18,24,18,24,6,54,36,51,33,96,0,36,15,27,30,54,30,42,12,36,0,117,36,54,36,24,0,96,3,72,36,57,27,54,6,54,21,36,12,66,33,60,0,30,24,24,15,63,30,42,24,78,9,39,30,24,24,138,0,42,0,54,24,57,12,30,24,42,18,54,6,60,33,24,0,72,6,84,24,42,6,66,15,36,0,42,48,51,18,66,0,60,3,60,12,60,57,42,9,72,12,60,42,27,24,60,0,42,18,24,30,48,30,36,18,30,9,78,12,51,18,30,0,60,0,12,57,51,18,78,6,102,12,30,24,48,27,36,0,30,12,126,6,27,36,30,18,66,0,60,30,48,36,48,0,24,6,39,24,96,12,90,33,36,6,39,6,90,27,36,0,60,12,45,42,30,30,72,12,36,9,39,36,69,24,48,0,36,6,66,15,72,39,36,27,54,18,57,30,42,12,60,0,84,24,36,27,72,12,48,21,60,0,51,30,27,30,90,0,78,0,42,57,12,30,48,18,42,6,48,24,90,15,42,0,12,15,84,24,72,18,48,21,66,3,54,42,30,24,48,0,36,18,27,12,42,9,108,18,36,12,96,24,21,30,24,0,96,9,54,18,75,30,54,18,36,0,39,18,84,18,42,0,24,6,54,18,57,42,24,9,84,18,48,42,27,30,78,0,60,0,30,48,36,6,30,36,6,10,78,12,51,48,48,0,90,0,75,9,42,24,48,15,72,12,33,42,108,12,54,0,54,18,51,42,36,48,48,12,72,0,42,18,45,30,66,0,78,3,36,15,78,30,30,30,30,15,102,12,54,18,30,0,36,6,81,48,12,24,108,6,78,18,24,36,33,18,30,0,30,0,108,21,54,42,18,18,90,6,30,48,69,36,48,0,24,15,24,15,84,24,114,6,30,0,48,6,60,42,24,0,102,12,42,42,27,21,78,9,42,24,51,24,42,12,48,0,60,12,66,6,42,24,30,24,42,0,78,24,54,12,66,0,30,6,24,51,99,18,60,24,42,18,54,6,45,60,36,0,54,6,39,39,39,30,66,18,72,0,51,24,102,12,54,0,24,0,102,12,48,24,42,36,60,0,12,48,18,12,54,0,84,18,39,9,84,30,66,18,48,15,72,48,39,42,48,0,60,0,84,30,45,33,54,6,54,30,33,30,90,6,54,0,24,6,72,27,78,12,24,15,66,0,54,36,21,42,114,0,60,3,30,33,54,27,30,33,60,6,54,12,48,33,36,0,42,12,45,39,24,36,96,18,24,12,33,18,99,18,66,0,36,0,51,24,30,30,36,15,84,6,102,48,48,18,60,0,72,12,36,42,60,12,24,21,30,0,54,18,60,18,42,0,66,6,24,24,54,15,78,12,42,27,27,30,51,27,78,0,48,6,120,27,48,42,24,12,54,6,54,24,48,36,66,0,78,9,57,21,48,18,54,33,24,30,84,18,45,33,30,0,126,9,36,30,27,30,66,18,54,0,36,42,48,6,42,0,54,6,57,12,84,54,48,6,60,6,63,18,42,36,78,0,24,24,33,24,105,24,66,27,48,0,48,30,60,30,54,0,42,3,75,48,24,12,66,12,96,6,30,12,87,21,36,0,30,24,69,12,57,30,48,24,54,0,42,54,24,24,72,0,60,0,48,24,69,24,42,18,36,12,66,24,36,42,18,0,78,9,48,36,42,42,36,12,36,21,78,18,48,12,102,0,18,12,54,24,45,27,42,13,108,12,39,24,42,27,102,0,60,6,39,24,54,12,54,24,24,0,114,24,63,48,30,0,48,6,69,36,18,12,72,6,48,18,33,54,117,12,42,0,66,12,48,6,54,36,42,21,102,6,48,54,33,30,48,0,72,0,30,24,75,24,84,30,30,0,72,18,30,42,54,0,60,12,36,45,42,12,96,6,66,0,12,36,78,36,42,0,36,0,78,24,48,24,18,30,90,15,96,18,27,21,54,0,24,21,48,27,84,18,48,42,36,6,66,12,108,12,42,0,48,9,27,60,21,36,84,6,36,18,42,18,54,18,60,0,60,15,72,9,99,42,12,12,60,0,57,42,18,18,78,0,42,6,36,36,63,9,42,15,30,18,78,6,24,48,42,0,102,12,75,45,42,30,84,24,66,9,24,30,90,24,42,0,24,3,84,21,84,33,66,24,36,6,36,48,51,18,72,0,66,18,54,30,24,18,48,18,30,0,102,12,45,36,24,0,102,3,42,15,42,54,54,21,66,24,66,30,102,3,66,0,48,12,24,30,45,36,54,6,78,9,48,24,39,36,96,0,66,6,27,27,60,30,18,30,48,12,90,24,60,36,6,0,42,12,78,36,36,24,114,6,60,0,18,6,69,18,84,0,36,6,48,6,39,24,42,24,54,6,72,48,36,42,60,0,48,0,36,18,138,24,30,30,42,18,75,18,48,18,24,0,78,0,78,57,60,9,48,9,36,30,30,42,42,39,84,0,24,12,87,27,30,42,24,24,90,0,36,24,60,36,84,0,42,0,30,21,87,12,72,24,42,12,60,30,72,21,60,0,96,12,30,42,39,18,66,12,84,12,63,42,42,24,42,0,18,6,78,15,75,45,54,12,54,6,84,30,30,18,54,0,42,24,39,27,96,18,42,21,48,0,54,18,33,36,66,0,84,0,75,48,30,42,54,12,54,15,42,30,96,18,42,0,18,6,123,15,48,24,48,39,42,6,21,54,45,12,60,0,90,12,30,36,45,18,72,21,78,12,30,12,60,30,18,0,78,6,60,36,33,18,60,12,30,0,60,18,90,30,54,0,36,1,78,27,84,30,18,15,102,9,27,30,24,57,90,0,42,9,48,42,42,12,72,27,48,9,108,18,48,48,18,0,84,6,66,24,48,21,114,6,78,24,30,30,42,18,60,0,18,12,63,9,51,66,48,15,54,0,66,60,36,18,48,0,66,6,36,30,96,9,36,30,30,24,93,24,72,24,66,0,60,24,48,30,24,30,72,6,60,12,30,12,93,18,72,0,30,0,81,30,36,48,36,30,90,6,54,24,57,24,36,0,54,18,36,24,78,18,72,33,12,0,51,30,48,24,42,0,90,3,78,30,30,27,138,6,30,18,36,24,75,24,12,0,54,12,42,18,84,36,30,18,66,6,45,36,36,48,114,0,24,6,30,21,108,15,48,18,36,18,57,24,63,42,54,0,78,6,81,36,18,24,42,18,120,0,24,24,66,12,54,0,48,12,66,18,42,36,48,18,72,6,48,48,33,6,102,0,54,24,39,54,60,12,90,18,36,3,111,24,51,48,42,0,90,0,45,36,54,48,54,24,18,18,51,18,72,0,54,0,18,12,54,36,57,18,42,18,120,0,63,42,27,36,48,0,54,6,39,30,81,18,72,33,54,9,72,12,54,54,24,0,54,15,75,24,60,12,78,6,30,12,39,54,72,6,54,0,72,6,78,12,54,39,30,15,48,6,57,48,18,24,90,0,90,18,42,24,39,42,24,30,42,0,84,6,66,30,30,0,30,0,27,42,39,33,90,24,84,18,51,36,69,24,54,0,42,18,87,33,51,18,42,9,126,9,84,36,66,18,54,0,36,0,66,12,48,15,54,30,18,18,60,18,96,54,42,0,102,0,27,36,30,36,108,15,54,0,24,36,60,24,66,0,30,0,54,15,75,48,36,18,48,24,36,36,54,15,108,0,84,18};
  int x,y,z, c=0;
  for(int i=0;i<n;i++){
    printf("%d\n",aa[i]);
  }
  return 0;
}