Task: Data-transform-reshape (source dataset: Auto-Tables)

Given a table, predict what python pandas transformation may be needed on the given input table. Valid choices for transformation include: {"stack", "wide_to_long", "transpose", "pivot", "explode", "ffill", "subtitles"}. Note that each of these is a common Python Pandas operator. Some transformations can have parameters. Each transformation and its parameters are describe as follows.
 
- stack: collapse homogeneous cols into rows.
@param (int): stack_start_idx: zero-based starting column index of the homogeneous column-group.
@param (int): stack_end_idx: zero-based ending column index of the homogeneous column-group.
 
- wide_to_long: collapse repeating col-groups into rows.
@param (int): wide_to_long_start_idx: zero-based starting column index of the repeating col-groups.
@param (int): wide_to_long_end_idx: zero-based ending column index of the repeating col-groups.
 
- transpose: convert rows to columns and vice versa.
 
- pivot: pivot repeating row-groups into cols.
@param (int): pivot_row_frequency: frequency of repeating row-groups.
 
- ffill: fill structurally empty cells in tables.
@param (int): ffill_end_idx: zero-based ending column index of the columns to be filled.
 
- explode: convert composite cells into atomic values
@param (int): explode_column_idx: zero-based column index of the column to be exploded.
 
- subtitle: convert table subtitles into a column.
 
OUTPUT the predicted transformation name along with its parameters for the given INPUT table in a JSON, e.g., {"transformation": "stack", "stack_start_idx": 1, "stack_end_idx": 5}. If the input table needs multi-step transformations (e.g, ffill followed by stack), list JSON of each transformation sequentially in a list, e.g., [{"transformation": "ffill", "ffill_end_idx": 1}, {"transformation": "stack", "stack_start_idx": 1, "stack_end_idx": 5}]. No explanation is needed.

## Input:
|   Amy |   Bob |   Carl |   Chris |   Ben |   Ava |   James |   Henry |   Sphia |   Noah |   Year |
|------:|------:|-------:|--------:|------:|------:|--------:|--------:|--------:|-------:|-------:|
|     3 |     9 |      9 |      10 |     4 |     9 |       6 |       2 |      10 |      2 |   2001 |
|     4 |     4 |      2 |       6 |     4 |     2 |       2 |       1 |       1 |      2 |   2002 |
|     4 |     8 |      9 |       5 |     7 |     8 |       5 |       3 |      10 |      7 |   2003 |
|     4 |     7 |      7 |       6 |     5 |     5 |       5 |       3 |      10 |      2 |   2004 |
|     4 |     4 |      3 |       6 |     9 |     5 |       6 |       8 |      10 |      6 |   2005 |
|     8 |     7 |      1 |       3 |     5 |     8 |       1 |       5 |       9 |      1 |   2006 |
|     5 |     6 |      4 |       3 |     8 |     4 |       6 |       8 |      10 |      4 |   2007 |
|     7 |     9 |      3 |       8 |     4 |     7 |       9 |       7 |       5 |      4 |   2008 |
|     1 |     9 |     10 |       4 |     9 |     9 |       7 |       9 |       4 |      6 |   2009 |
|     5 |     1 |      3 |       1 |     4 |     3 |       6 |       2 |       3 |      4 |   2010 |
|    10 |     2 |      6 |       1 |     7 |     2 |      10 |       5 |       8 |      5 |   2011 |
|    10 |     1 |     10 |       2 |     8 |    10 |       8 |       8 |       2 |      3 |   2012 |
|    10 |     9 |      2 |       2 |     5 |     2 |       3 |       8 |       3 |      3 |   2013 |
|    10 |     8 |      1 |       1 |     7 |     1 |       5 |       2 |       4 |      3 |   2014 |

## Output:


source: stackoverflow
label: operator: stack
stack_start_idx: 0
stack_end_idx: 9