Task: semantic-join (source dataset: SEMA-join)

You are given two input tables below. Your task is to identify the most likely semantic relationships between values of these two columns, and then output pairs of values from Table 1 and Table 2, that can be joined/linked based on the inferred semantic relationships. 

No explanation is needed, only return your answer in JSON format: {"output": <answer>}, where the <answer> is a list of lists. Each inner list should contain exactly one value from Table 1, and its semantically matching value from Table 2. If a value from Table 1 does not have corresponding value from Table 2, you can omit it in the answer. But be careful, not to miss any values from Table 1 that do have corresponding matching values in Table 2.

Input Table 1:
| Col_0                     |
|:--------------------------|
| Martin Van Buren          |
| George Washington         |
| John Adams                |
| John Quincy Adams         |
| Dwight D. Eisenhower      |
| Herbert Hoover            |
| James A. Garfield         |
| Bill Clinton              |
| John F. Kennedy           |
| Gerald R. Ford            |
| George W. Bush            |
| Franklin D. Roosevelt     |
| Jimmy Carter              |
| James Madison             |
| Andrew Johnson            |
| Rutherford Birchard Hayes |
| Ulysses S. Grant          |
| Andrew Jackson            |
| Ronald Reagan             |
| Grover Cleveland          |
| Chester A. Arthur         |
| Warren G. Harding         |
| Benjamin Harrison         |
| Richard M. Nixon          |
| Millard Fillmore          |
| Franklin Pierce           |
| Abraham Lincoln           |
| Barack Obama              |
| Harry S. Truman           |
| William McKinley          |
| Theodore Roosevelt        |
| Lyndon B. Johnson         |
| George Bush               |

Input Table 2:
| Col_1                                               |
|:----------------------------------------------------|
| Ida Saxton McKinley                                 |
| Mamie Doud Eisenhower                               |
| Eleanor Roosevelt                                   |
| Lady Bird Johnson                                   |
| Caroline Lavinia Scott Harrison; Mary Lord Harrison |
| Laura Bush                                          |
| Mary Todd Lincoln                                   |
| Frances Folsom Cleveland                            |
| Ellen Lewis Herndon Arthur                          |
| Eliza McCardle Johnson                              |
| Jane M. Pierce                                      |
| Nancy Reagan                                        |
| Lucy Webb Hayes                                     |
| Edith Kermit Carow Roosevelt                        |
| Lou Henry Hoover                                    |
| Jacqueline Kennedy Onassis                          |
| Michelle Obama                                      |
| Pat Nixon                                           |
| Abigail Adams                                       |
| Hannah Hoes Van Buren                               |
| Bess Wallace Truman                                 |
| Rachel Jackson                                      |
| Betty Ford                                          |
| Dolley Madison                                      |
| Martha Washington                                   |
| Florence Kling Harding                              |
| Hillary Rodham Clinton                              |
| Abigail Powers Fillmore                             |
| Lucretia Rudolph Garfield                           |
| Rosalynn Carter                                     |
| Barbara Bush                                        |
| Louisa Catherine Adams                              |
| Julia Dent Grant                                    |

Joined Table:



label: George Washington
Martha Washington
John Adams
Abigail Adams
James Madison
Dolley Madison
John Quincy Adams
Louisa Catherine Adams
Andrew Jackson
Rachel Jackson
Martin Van Buren
Hannah Hoes Van Buren
Millard Fillmore
Abigail Powers Fillmore
Franklin Pierce
Jane M. Pierce
Abraham Lincoln
Mary Todd Lincoln
Andrew Johnson
Eliza McCardle Johnson
Ulysses S. Grant
Julia Dent Grant
Rutherford Birchard Hayes
Lucy Webb Hayes
James A. Garfield
Lucretia Rudolph Garfield
Chester A. Arthur
Ellen Lewis Herndon Arthur
Grover Cleveland
Frances Folsom Cleveland
Benjamin Harrison
Caroline Lavinia Scott Harrison; Mary Lord Harrison
Grover Cleveland
Frances Folsom Cleveland
William McKinley
Ida Saxton McKinley
Theodore Roosevelt
Edith Kermit Carow Roosevelt
Warren G. Harding
Florence Kling Harding
Herbert Hoover
Lou Henry Hoover
Franklin D. Roosevelt
Eleanor Roosevelt
Harry S. Truman
Bess Wallace Truman
Dwight D. Eisenhower
Mamie Doud Eisenhower
John F. Kennedy
Jacqueline Kennedy Onassis
Lyndon B. Johnson
Lady Bird Johnson
Richard M. Nixon
Pat Nixon
Gerald R. Ford
Betty Ford
Jimmy Carter
Rosalynn Carter
Ronald Reagan
Nancy Reagan
George Bush
Barbara Bush
Bill Clinton
Hillary Rodham Clinton
George W. Bush
Laura Bush
Barack Obama
Michelle Obama