P13435 [GCJ 2009 #1B] The Next Number

You are writing out a list of numbers. Your list contains all numbers with exactly $D_i$ digits in its decimal representation which are equal to $i$, for each $i$ between 1 and 9, inclusive. You are writing them out in ascending order. For example, you might be writing every number with two '1's and one '5'. Your list would begin 115, 151, 511, 1015, 1051. Given $N$, the last number you wrote, compute what the next number in the list will be.

The first line of input contains an integer $T$, the number of test cases in the input. $T$ lines follow, one for each test case, each containing a single integer $N$.

For each test case, output Case #$X$: $K$ where $X$ is the test case number, starting from 1, and $K$ is the next integer in the list.

**Limits** **Small dataset(9 Pts)** - Time limit: ~~20~~ 2 seconds. - $1 \leq T \leq 50$ - $1 \leq N \leq 10^6$ **Large dataset(26 Pts)** - Time limit: ~~30~~ 3 seconds. - $1 \leq T \leq 500$ - $1 \leq N \leq 10^{20}$