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A binary clock is a clock which displays traditional sexagesimal time (military format) in a binary format. The most common binary clock uses three columns or three rows of LEDs to represent zeros and ones. Each column (or row) represents a time-unit value.

When three columns are used (vertically), the bottom row in each column represents 1 (or 2^{0} ^{5}

When three rows are used (horizontally), the right column in each row represents 1 (or 2^{0} ^{5}

For example:

The first line of input contains a single integer *N* *N<=*1000)

For each data set, you should generate one line of output with the following values: The data set number as a decimal integer (start counting at one), a space, the binary time in vertical format (18 binary digits), a space and the binary time in horizontal format (18 binary digits).

```
2
10:37:49
00:00:01
```

```
1 011001100010100011 001010100101110001
2 000000000000000001 000000000000000001
```