If the minimum value of \({M}_{2}\) For 3 Collisions to occur is \(\alpha\). Find \(\left\lfloor \alpha \right\rfloor \).

**Details and Assumptions**:

\( \lfloor \cdot \rfloor \) denotes the floor function.

Velocity is sufficient to perform 3 collisions.

All surfaces are smooth.

Collisions are elastic.

\({ M }_{ 1 }=\pi \text{ kg}\).

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