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          |
|:---------------|
| Montgomery     |
| Juneau         |
| Phoenix        |
| Little Rock    |
| Sacramento     |
| Denver         |
| Hartford       |
| Dover          |
| Tallahassee    |
| Atlanta        |
| Honolulu       |
| Boise          |
| Springfield    |
| Indianapolis   |
| Des Moines     |
| Topeka         |
| Frankfort      |
| Baton Rouge    |
| Augusta        |
| Annapolis      |
| Boston         |
| Lansing        |
| Saint Paul     |
| Jackson        |
| Jefferson City |
| Helena         |
| Lincoln        |
| Carson City    |
| Concord        |
| Trenton        |
| Santa Fe       |
| Albany         |
| Raleigh        |
| Bismarck       |
| Columbus       |
| Oklahoma City  |
| Salem          |
| Harrisburg     |
| Providence     |
| Columbia       |
| Pierre         |
| Nashville      |
| Austin         |
| Salt Lake City |
| Montpelier     |
| Richmond       |
| Olympia        |
| Charleston     |
| Madison        |
| Cheyenne       |

Input Table 2:
| Col_1          |
|:---------------|
| Alabama        |
| Alaska         |
| Arizona        |
| Arkansas       |
| California     |
| Colorado       |
| Connecticut    |
| Delaware       |
| Florida        |
| Georgia        |
| Hawaii         |
| Idaho          |
| Illinois       |
| Indiana        |
| Iowa           |
| Kansas         |
| Kentucky       |
| Louisiana      |
| Maine          |
| Maryland       |
| Massachusetts  |
| Michigan       |
| Minnesota      |
| Mississippi    |
| Missouri       |
| Montana        |
| Nebraska       |
| Nevada         |
| New Hampshire  |
| New Jersey     |
| New Mexico     |
| New York       |
| North Carolina |
| North Dakota   |
| Ohio           |
| Oklahoma       |
| Oregon         |
| Pennsylvania   |
| Rhode Island   |
| South Carolina |
| South Dakota   |
| Tennessee      |
| Texas          |
| Utah           |
| Vermont        |
| Virginia       |
| Washington     |
| West Virginia  |
| Wisconsin      |
| Wyoming        |

Joined Table:



label: Montgomery
Alabama
Juneau
Alaska
Phoenix
Arizona
Little Rock
Arkansas
Sacramento
California
Denver
Colorado
Hartford
Connecticut
Dover
Delaware
Tallahassee
Florida
Atlanta
Georgia
Honolulu
Hawaii
Boise
Idaho
Springfield
Illinois
Indianapolis
Indiana
Des Moines
Iowa
Topeka
Kansas
Frankfort
Kentucky
Baton Rouge
Louisiana
Augusta
Maine
Annapolis
Maryland
Boston
Massachusetts
Lansing
Michigan
Saint Paul
Minnesota
Jackson
Mississippi
Jefferson City
Missouri
Helena
Montana
Lincoln
Nebraska
Carson City
Nevada
Concord
New Hampshire
Trenton
New Jersey
Santa Fe
New Mexico
Albany
New York
Raleigh
North Carolina
Bismarck
North Dakota
Columbus
Ohio
Oklahoma City
Oklahoma
Salem
Oregon
Harrisburg
Pennsylvania
Providence
Rhode Island
Columbia
South Carolina
Pierre
South Dakota
Nashville
Tennessee
Austin
Texas
Salt Lake City
Utah
Montpelier
Vermont
Richmond
Virginia
Olympia
Washington
Charleston
West Virginia
Madison
Wisconsin
Cheyenne
Wyoming