## GNY07D - Decoding

Chip and Dale have devised an encryption method to hide their (written) text messages. They first agree secretly on two numbers that will be used as the number of rows (R) and columns (C) in a matrix. The sender encodes an intermediate format using the following rules:

1. The text is formed with uppercase letters [A-Z] and .
2. Each text character will be represented by decimal values as follows:

= 0, A = 1, B = 2, C = 3, ..., Y = 25, Z = 26

The sender enters the 5 digit binary representation of the characters’ values in a spiral pattern along the matrix as shown below. The matrix is padded out with zeroes (0) to fill the matrix completely. For example, if the text to encode is: "ACM" and R=4 and C=4, the matrix would be filled in as follows: ```A = 00001, C = 00011, M = 01101
(one extra 0)```

The bits in the matrix are then concatenated together in row major order and sent to the receiver. The example above would be encoded as: 0000110100101100

### Input

The first line of input contains a single integer N, (1 ≤ N ≤ 1000) which is the number of datasets that follow.

Each dataset consists of a single line of input containing R (1<=R<=20), a space, C (1<=C<=20), a space, and a string of binary digits that represents the contents of the matrix (R * C binary digits). The binary digits are in row major order.

### Output

For each dataset, you should generate one line of output with the following values: The dataset number as a decimal integer (start counting at one), a space, and the decoded text message. You should throw away any trailing spaces and/or partial characters found while decoding.

### Example

```Input:
4
4 4 0000110100101100
5 2 0110000010
2 6 010000001001
5 5 0100001000011010110000010

Output:
1 ACM
2 HI
3 HI
4 HI HO
```

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 < Previous 1 2 Next > MR. BEAN : 2011-12-30 17:50:29 painful code... cost me 1 WA just because I forgot to print the dataset number :( Zhiang: 2011-12-29 20:28:38 tiring one ;) ;P AJIT KUMAR: 2011-08-06 14:33:02 The test case 1<=C,R<=20 is correct. I got AC. xcoder: 2011-07-21 20:50:56 my code is working properly.. but still i am getting WA... can someone provide more test cases where chances of getting WA is more...? arbit: 2011-06-15 09:47:19 please correct the question regarding the no. of rows and columns or change the test cases it misleads! Last edit: 2011-06-15 09:47:55 nagesh: 2011-03-25 09:56:08 agree... its right....tests are for..1<=C,R<=21 Przemys³aw Horban: 2010-02-21 15:25:08 Watch out! The tests are incorrect. 1 <= C,R <= 21 not 20!

 Added by: Marco Gallotta Date: 2008-03-11 Time limit: 19.86s Source limit: 50000B Memory limit: 1536MB Cluster: Cube (Intel G860) Languages: All except: ERL JS-RHINO NODEJS PERL6 VB.NET Resource: ACM Greater New York Regionals 2007