Problem7482--[CSES Problem Set] Two Knights

7482: [CSES Problem Set] Two Knights

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Time Limit : 1.000 sec  Memory Limit : 256 MiB

Description

Your task is to count for $k=1,2,…,n$ the number of ways two knights can be placed on a $k×k$ chessboard so that they do not attack each other.

Input

The only input line contains an integer $n$.

Output

Print $n$ integers: the results.

Constraints

$1≤n≤10000$

Sample 1 Input

8

Sample 1 Output

0
6
28
96
252
550
1056
1848

HINT

相同题目:CSES 1072.

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