**Problem : Pivot Table**

According to Wikipedia, a Pivot Table is a useful summarization tool in data processing. Your task is to implement a Pivot table according to given requirements

**Requirements**- Must work against a data table of arbitrary sizes
- Data types to be supported are String and Numbers
- Must support the following aggregation functions - Sum, Count, Average, Invert (transpose)
- Must take inputs on which column to use as a Pivot and which column to use an aggregation function on
- The aggregated Pivot table must be sorted in ascending order
- For string data type, sorting function must sort rows, alphabetically
- For numeric data type, sorting function must sort rows from smallest to largest

We explain the aggregation functions using example for better understanding of the specifications Lets' say, the data is as follows

A | B | C | D |

Match1 | Sachin | 2 | 12.678 |

Match4 | Rahul | 23 | 14 |

Match5 | Sonal | 13 | 35.333 |

Match6 | Rajiv | 6 | 56.33 |

Match2 | Manish | 87 | 37 |

Match6 | Nakul | 34 | 45 |

Match2 | Mukul | 48 | 12.87 |

Match7 | Srinath | 24 | 29.625 |

Match1 | Dora | 83 | 51.667 |

Match8 | James | 79 | 59 |

Match4 | Munna | 45 | 53.333 |

Match6 | Sachin | 53 | 52.5 |

Match3 | Sonal | 21 | 58.93 |

Match2 | Rajiv | 69 | 61.5 |

Match7 | Nakul | 36 | 63.75 |

Match9 | Mukul | 96 | 56.222 |

Match5 | Dora | 43 | 51.714 |

Match3 | Munna | 80 | 49.417 |

**Sum Function**

- Can only be applied to Numeric columns i.e. C and D in this case
- Let's say we are grouping on column B and applying Sum function on column C then, the output will look as follows :

Dora 126

James 79

Manish 87

Mukul 144

Munna 125

Nakul 70

Rahul 23

Rajiv 75

Sachin 55

Sonal 34

Srinath 24

**Count Function**

- Let's say we are grouping on column A and applying Count function on column A then, the output will look as follows :

Match1 2

Match2 3

Match3 2

Match4 2

Match5 2

Match6 3

Match7 2

Match8 1

Match9 1

**Average Function**

- Can only be applied to Numeric columns i.e. C and D in this case
- Let's say we are grouping on column B and applying Average function on column D then, the output will look as follows :

Dora 52

James 59

Manish 37

Mukul 35

Munna 52

Nakul 55

Rahul 14

Rajiv 59

Sachin 33

Sonal 48

Srinath 30

**Invert Function**

- Let's say we are grouping on column B and applying Invert function on column D then, the output will look as follows :

Dora 51.667 # # # 51.714 # # # #

James # # # # # # # 59 #

Manish # 37 # # # # # # #

Mukul # 12.87 # # # # # # 56.222

Munna # # 49.417 53.333 # # # # #

Nakul # # # # # 45 63.75 # #

Rahul # # # 14 # # # # #

Rajiv # 61.5 # # # 56.33 # # #

Sachin 12.678 # # # # 52.5 # # #

Sonal # # 58.93 # 35.333 # # # #

Srinath # # # # # # 29.625 # #

The first column of output is column B in ascending order. The column A in the data table becomes column headers in the output (which is not printed in output). The non-hash values are values of column D for a combination of column A and column B in the original data table. Column A and column B combination in test cases for Invert function are unique. '#' character is a place holder for null values.

Now that the workings of the four functions have been explained, let us understand the input and output specifications.

**Input Format:**

First line of input contains total number of test cases, denoted by N

Each test case comprises of 5 parts-

- First line of a test case contains a function name (Sum , Average, Invert and Count)
- Second line contains the column no. on which grouping will be applied.(Column index starts from 1)
- Third line contains the column no. on which the aggregation function will be applied
- Next variable number of lines contain the actual data delimited by space
- A test case is terminated by -1

**Output Format:**

For each test case print the output of the appropriate function as explained above.

- Perform rounding up when printing output for Sum and Average functions.
- Do not perform rounding when printing output for Invert function.

**Sample Input and Output**

SNo. | Input | Output |
---|---|---|

1 | 4 Sum 2 3 idx 49.865 30.071 blkqt ywhw 17.909 96.138 nqng odb 69.900 34.593 hcf -1 Count 3 2 79.424 bwipx eqmz 15.800 61.570 uhaci fifo 36.933 9.881 alt cjven 63.373 31.110 mpcq pdg 9.170 -1 Average 3 2 76.114 69.394 nuvr 1.992 80.233 5.676 kxf 2.783 1.940 85.761 zlnv 5.537 74.016 79.417 atp 89.162 -1 Invert 2 3 cky foq 57.193 80.148 mkf kjqs 15.449 43.623 ohu turnf 95.211 57.271 -1 |
17.909 97 49.865 31 69.9 35 cjven 1 eqmz 1 fifo 1 pdg 1 atp 80 kxf 6 nuvr 70 zlnv 86 foq 57.193 # # kjqs # 15.449 # turnf # # 95.211 |

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**Note**