Reorganize examples and make runnable

[prasannavl]

Description

Make examples runnable with:
cargo run -p examples --bin <example_name> (or)
cargo run --bin <example_name> (from examples dir)

Resolves #223

(Wait until to avoid conflicts: #220)

Motivation and Context

#219 (review)
#219 (comment)

How Has This Been Tested?

All examples functional

Types of changes

• Bug fix (non-breaking change which fixes an issue)
• New feature (non-breaking change which adds functionality)
• Breaking change (fix or feature that would cause existing functionality to change)
• Refactor

Checklist:

• My change requires a change to the documentation.
• I have updated the documentation accordingly.
• I have read the CONTRIBUTING document.
• I have added tests to cover my changes.
• All new and existing tests passed.

[yoshuawuyts]

Related issue #225 -- our new examples structure broke our dependency automation. We should probably find a way to fix that.

[prasannavl]

Waiting this one out until #220 - then choose from one of #225.

[prasannavl]

Rebased and merge-able. However still doesn't resolve #225. Is it an option to wait a few days to see dependabot/dependabot-core#1156 is fixed, and if not rename it to example?

[yoshuawuyts]

It looks like this requires another rebase also.

[yoshuawuyts]

Commented in #223 (comment).

[prasannavl]

Closing, as #247 resolves this nicely.