Renovation Problem

Time Limit: 2000/1000 MS (Java/Others)

Memory Limit: 32768/32768 K (Java/Others)

Description

The New Year’s Day is comming ! Every family want to make theiir house looks more beautiful , so does Teddy’s . To make his own house looks different from other's , he went to the shop to buy four kinds of tiles . each kind of tiles has different size : 1*1 , 2*2 , 3*3 and 4 * 4, respectively .

The problem is , how many ways there are to tile his floor which has a area of 4*N using these four kinds of tiles ? You can assume that the number of each kind of tiles is enough.

Input

The first line contain a T. followed by T lines ,each line contain a integer N.(1<=N <=100).

Output

For each case, output the ans % 19890907.

Sample Input

2 1 2

Sample Output

1 5

Hint

lcy

Source

HDU 1st “Vegetable-Birds Cup” Programming O

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