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                                              |
|:---------------------------------------------------|
| École Polytechnique                                |
| University of Tokyo                                |
| Wageningen University and Research Center          |
| University of Wisconsin-Madison                    |
| Harvard University                                 |
| Ludwig-Maximilians-Universität München             |
| Duke University                                    |
| Michigan State University                          |
| University of Melbourne                            |
| Humboldt-Universität zu Berlin                     |
| University of California, San Diego                |
| Karolinska Institute                               |
| Swiss Federal Institute of Technology Zürich       |
| University of São Paulo                            |
| Imperial College London                            |
| McGill University                                  |
| University of Illinois at Urbana Champaign         |
| University of Toronto                              |
| Boston University                                  |
| University of Manchester                           |
| University of Minnesota                            |
| The University of Queensland Australia             |
| University of Michigan                             |
| National University of Singapore                   |
| Carnegie Mellon University                         |
| University of Pennsylvania                         |
| Purdue University                                  |
| University of California, San Francisco            |
| University of California, Los Angeles              |
| Freie Universität Berlin                           |
| University of Cambridge                            |
| University of Chicago                              |
| Stanford University                                |
| Pennsylvania State University                      |
| National Taiwan University                         |
| Université Paris-Sud                               |
| Nanyang Technological University                   |
| University of Southern California                  |
| Seoul National University                          |
| Tohoku University                                  |
| The University of New South Wales                  |
| Utrecht University                                 |
| Massachusetts Institute of Technology              |
| Tokyo Institute of Technology                      |
| University of Washington                           |
| Washington University in St Louis                  |
| University of North Carolina at Chapel Hill        |
| The University of Sydney                           |
| University of Maryland, College Park               |
| Johns Hopkins University                           |
| Uppsala University                                 |
| Delft University of Technology                     |
| University College London                          |
| Northwestern University                            |
| University of British Columbia                     |
| Rutgers, The State University of New Jersey        |
| Katholieke Universiteit Leuven                     |
| Technische Universität München                     |
| Brown University                                   |
| California Institute of Technology                 |
| University of Florida                              |
| University of Edinburgh                            |
| University of Pittsburgh                           |
| Osaka University                                   |
| Korea Advanced Institute of Science and Technology |
| Université Paris-Sorbonne                          |
| Lund University                                    |
| Cornell University                                 |
| University of California, Santa Barbara            |
| The University of Hong Kong                        |
| University of Amsterdam                            |
| Columbia University                                |
| The Ohio State University                          |
| New York University                                |
| Kyoto University                                   |
| University of California, Berkeley                 |
| Leiden University                                  |
| Australian National University                     |
| Princeton University                               |
| The Hong Kong University of Science and Technology |
| Yale University                                    |
| Université Pierre et Marie Curie                   |
| École Polytechnique Fédérale de Lausanne           |
| University of Massachusetts                        |
| Lomonosov Moscow State University                  |
| Hebrew University of Jerusalem                     |
| Peking University                                  |
| Monash University                                  |
| University of Bristol                              |
| Middle East Technical University                   |
| Universität Heidelberg                             |
| University of California, Davis                    |
| London School of Economics and Political Science   |
| Tsinghua University                                |
| University of Texas at Austin                      |
| The Chinese University of Hong Kong                |
| University of Oxford                               |
| Georgia Institute of Technology                    |

Input Table 2:
| Col_1              |
|:-------------------|
| Russian Federation |
| Singapore          |
| Hong Kong          |
| Japan              |
| Switzerland        |
| Canada             |
| Netherlands        |
| Sweden             |
| Turkey             |
| Belgium            |
| UK                 |
| China              |
| Taiwan             |
| Korea, Republic Of |
| Brazil             |
| Israel             |
| Australia          |
| France             |
| US                 |
| Germany            |

Joined Table:



label: Harvard University
US
Massachusetts Institute of Technology
US
University of Cambridge
UK
University of Oxford
UK
University of California, Berkeley
US
Stanford University
US
Princeton University
US
University of California, Los Angeles
US
University of Tokyo
Japan
Yale University
US
California Institute of Technology
US
University of Michigan
US
Columbia University
US
University of Chicago
US
Imperial College London
UK
University of Toronto
Canada
Cornell University
US
University of Pennsylvania
US
Johns Hopkins University
US
University College London
UK
Swiss Federal Institute of Technology Zürich
Switzerland
National University of Singapore
Singapore
Kyoto University
Japan
University of Illinois at Urbana Champaign
US
London School of Economics and Political Science
UK
Carnegie Mellon University
US
University of Texas at Austin
US
University of Washington
US
New York University
US
University of Wisconsin-Madison
US
University of British Columbia
Canada
Duke University
US
McGill University
Canada
University of California, San Diego
US
Tsinghua University
China
The University of Hong Kong
Hong Kong
Northwestern University
US
Georgia Institute of Technology
US
University of Melbourne
Australia
University of California, San Francisco
US
Seoul National University
Korea, Republic Of
Australian National University
Australia
University of Massachusetts
US
Ludwig-Maximilians-Universität München
Germany
Peking University
China
University of Edinburgh
UK
University of Manchester
UK
University of California, Davis
US
The University of Sydney
Australia
Lomonosov Moscow State University
Russian Federation
Purdue University
US
Delft University of Technology
Netherlands
École Polytechnique Fédérale de Lausanne
Switzerland
Middle East Technical University
Turkey
University of Minnesota
US
University of North Carolina at Chapel Hill
US
The Ohio State University
US
Osaka University
Japan
Pennsylvania State University
US
University of California, Santa Barbara
US
National Taiwan University
Taiwan
The Hong Kong University of Science and Technology
Hong Kong
Karolinska Institute
Sweden
Korea Advanced Institute of Science and Technology
Korea, Republic Of
Leiden University
Netherlands
University of São Paulo
Brazil
University of Southern California
US
Technische Universität München
Germany
Tohoku University
Japan
Tokyo Institute of Technology
Japan
Hebrew University of Jerusalem
Israel
Humboldt-Universität zu Berlin
Germany
Katholieke Universiteit Leuven
Belgium
Michigan State University
US
Nanyang Technological University
Singapore
Université Paris-Sorbonne
France
University of Pittsburgh
US
The University of Queensland Australia
Australia
Universität Heidelberg
Germany
University of Amsterdam
Netherlands
Boston University
US
Brown University
US
The Chinese University of Hong Kong
Hong Kong
École Polytechnique
France
University of Florida
US
The University of New South Wales
Australia
Université Pierre et Marie Curie
France
Rutgers, The State University of New Jersey
US
Utrecht University
Netherlands
Washington University in St Louis
US
University of Bristol
UK
Freie Universität Berlin
Germany
Lund University
Sweden
University of Maryland, College Park
US
Monash University
Australia
Université Paris-Sud
France
Uppsala University
Sweden
Wageningen University and Research Center
Netherlands