You have a digital display with an infinite number of positions. Each position consists of 7 segments - 4 vertical and 3 horizontal. Lighting certain segments within a position allows you to represent different decimal digits on the display:
You can use the display to represent different non-negative integers. To represent an integer you need to show its digits, in order, on consecutive display positions. The integers you represent on the display cannot have extra leading zeros.
The first line of the input gives a number of test cases, T (1 <= T <= 500).
Each case is consists of an integer n. n will be between 0 and 500000, inclusive.
For each test case, calculate the count each integer that can be represented by lighting exactly n segments. Print this count modulo 1,000,000,007.
5 2 1 6 10 0
1 0 7 59 0