Yasser is an Egyptian coach; he will be organizing a training camp in Jordan. At the end of camp, Yasser was quite amazed that the participants solved all of the hard problems he had prepared; so he decided to give them one last challenge:</p>

Print the number of integers having N digits where the digits form a non decreasing sequence.

입력 형식

Input will start with T ≤ 100 number of test cases. Each test case consists of a single line having integer N where 1 ≤ N ≤ 100000.</p>

출력 형식

For each test case print on a separate line the number of valid sequences modulo 1000000007.

예제 입력

3
2
3
4

예제 출력

55
220
715