\[ \large \int _{ 0 }^{ 100 }{ \lfloor x-0.5 \rfloor \, d \lfloor x \rfloor } \]

Evaluate the **Riemann-Stieltjes** integral above.

Enter 666 if you come to the conclusion that this integral fails to exist.

**Notation**: \( \lfloor \cdot \rfloor \) denotes the floor function.

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