题目描述

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.

输入格式

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 $N$.

输出格式

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.

3
115
1051
6233

Case #1: 151
Case #2: 1105
Case #3: 6323

提示

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.
• $1 \leq T \leq 500$
• $1 \leq N \leq 10^{20}$