Coin Change
Problem Statement: Bademi (B) owes Pallavi (P) live in a fictional land of their own. B recently took P out for dinner. Although at that time B chivalrously paid for the meal, P is now confused and wishes to pay him back (with coins). In this strange land, coins come in denominations 1, 2, 6 and 12. Assuming that P has an infinite supply of coins, count the number of ways P can pay back B.
Input Format: A single line containing T, the number of test cases. N lines follow, each containing a number N , the amount of money P owes B.
Constraints:
1 <= T <= 100
1 <= N <= 10 ** 9
Output Format: A single line for each test case, containing the number of ways P can pay back B. Since this number can be very big, output it modulo 10^9 + 7
Sample Input:
3
1
4
125
Sample Output:
1
3
2838