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Given a Network with the Following Distances

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Given a network with the following distances:
Given a network with the following distances:    Determine which nodes should be connected to get the minimum distance from Nodes 1 through 6. Determine the minimum distance. Determine which nodes should be connected to get the minimum distance from Nodes 1 through 6.
Determine the minimum distance.


Definitions:

War Department

The precursor to the modern United States Department of Defense, responsible for military affairs before it was reorganized into the Department of the Army and the Department of the Air Force.

Black Soldiers

Members of the military who are of African descent, historically facing segregation and discrimination, yet serving valiantly in various armies around the world.

Union Army

The Union Army was the land force that fought for the Union (the Northern states) during the American Civil War, opposing the Confederate Army of the Southern states.

1863

The year during the American Civil War known for significant events such as the Emancipation Proclamation, which declared the freedom of slaves in Confederate states.

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