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     |
| John Adams           |
| Hubert M. Humphrey   |
| Elbridge Gerry       |
| Charles G. Dawes     |
| Dan Quayle           |
| William A. Wheeler   |
| Gerald R. Ford       |
| Charles W. Fairbanks |
| Thomas Jefferson     |
| Andrew Johnson       |
| Schuyler Colfax      |
| Nelson Rockefeller   |
| Thomas R. Marshall   |
| John Tyler           |
| Henry Wilson         |
| Richard Cheney       |
| Daniel D. Tompkins   |
| Henry A. Wallace     |
| Aaron Burr           |
| Hannibal Hamlin      |
| Charles Curtis       |
| Chester A. Arthur    |
| Richard M. Nixon     |
| Walter F. Mondale    |
| Richard M. Johnson   |
| Millard Fillmore     |
| Calvin Coolidge      |
| Levi P. Morton       |
| William R. King      |
| Adlai E. Stevenson   |
| John C. Breckinridge |
| Harry S. Truman      |
| Albert Gore          |
| Garret A. Hobart     |
| Theodore Roosevelt   |
| James S. Sherman     |
| John N. Garner       |
| Lyndon B. Johnson    |
| Joseph R. Biden      |
| George M. Dallas     |
| Barkley, Alben W     |
| Spiro T. Agnew       |
| George Bush          |
| Thomas A. Hendricks  |

Input Table 2:
| Col_1                     |
|:--------------------------|
| Martin Van Buren          |
| William Henry Harrison    |
| George Washington         |
| John Adams                |
| Zachary Taylor            |
| Dwight D. Eisenhower      |
| Herbert Hoover            |
| James A. Garfield         |
| William H. Taft           |
| Bill Clinton              |
| John F. Kennedy           |
| Gerald R. Ford            |
| George W. Bush            |
| Thomas Jefferson          |
| Franklin D. Roosevelt     |
| Jimmy Carter              |
| James K. Polk             |
| James Madison             |
| Rutherford Birchard Hayes |
| Ulysses S. Grant          |
| Andrew Jackson            |
| Ronald Reagan             |
| Woodrow Wilson            |
| Grover Cleveland          |
| James Buchanan            |
| Warren G. Harding         |
| Benjamin Harrison         |
| Richard M. Nixon          |
| Franklin Pierce           |
| Abraham Lincoln           |
| Calvin Coolidge           |
| Barack Obama              |
| James Monroe              |
| Harry S. Truman           |
| William McKinley          |
| Theodore Roosevelt        |
| Lyndon B. Johnson         |
| George Bush               |

Joined Table:



label: John Adams
George Washington
Thomas Jefferson
John Adams
Aaron Burr
Thomas Jefferson
Elbridge Gerry
James Madison
Daniel D. Tompkins
James Monroe
Martin Van Buren
Andrew Jackson
Richard M. Johnson
Martin Van Buren
John Tyler
William Henry Harrison
George M. Dallas
James K. Polk
Millard Fillmore
Zachary Taylor
William R. King
Franklin Pierce
John C. Breckinridge
James Buchanan
Hannibal Hamlin
Abraham Lincoln
Andrew Johnson
Abraham Lincoln
Schuyler Colfax
Ulysses S. Grant
Henry Wilson
Ulysses S. Grant
William A. Wheeler
Rutherford Birchard Hayes
Chester A. Arthur
James A. Garfield
Thomas A. Hendricks
Grover Cleveland
Levi P. Morton
Benjamin Harrison
Adlai E. Stevenson
Grover Cleveland
Garret A. Hobart
William McKinley
Theodore Roosevelt
William McKinley
Charles W. Fairbanks
Theodore Roosevelt
James S. Sherman
William H. Taft
Thomas R. Marshall
Woodrow Wilson
Calvin Coolidge
Warren G. Harding
Charles G. Dawes
Calvin Coolidge
Charles Curtis
Herbert Hoover
John N. Garner
Franklin D. Roosevelt
Henry A. Wallace
Franklin D. Roosevelt
Harry S. Truman
Franklin D. Roosevelt
Barkley, Alben W
Harry S. Truman
Richard M. Nixon
Dwight D. Eisenhower
Lyndon B. Johnson
John F. Kennedy
Hubert M. Humphrey
Lyndon B. Johnson
Spiro T. Agnew
Richard M. Nixon
Gerald R. Ford
Richard M. Nixon
Nelson Rockefeller
Gerald R. Ford
Walter F. Mondale
Jimmy Carter
George Bush
Ronald Reagan
Dan Quayle
George Bush
Albert Gore
Bill Clinton
Richard Cheney
George W. Bush
Joseph R. Biden
Barack Obama