Ananya is testing three unknown metals $M_1$, $M_2$, and $M_3$. She records the following observations:
• $M_1$ reacts violently with cold water, and the evolved gas catches fire immediately.
• $M_2$ does not react with cold water but reacts readily with hot water, causing the metal to float.
• $M_3$ does not react with hot or cold water but reacts only with steam.
Which of the following correctly identifies $M_1$, $M_2$, and $M_3$?